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signature
stringlengths
16
32
problem_type
stringclasses
12 values
optimization_type
stringclasses
3 values
graph
stringlengths
52
2.28k
solution
stringlengths
235
4.05k
cost_hamiltonian
stringlengths
11
5.66k
ansatz_id
int64
1
18
number_of_qubits
int64
1
16
number_of_layers
int64
1
4
exact_solution
stringlengths
128
2.57k
circuit_with_params
stringlengths
106
17.5k
circuit_with_symbols
stringlengths
146
19.5k
problem_specific_attributes
stringclasses
116 values
adaptive_process
stringlengths
33
186k
3d627635058abf5b6bb9c53f69a1c86d
connected_components
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 3, "target": 8}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 4, "target": 7}, {"source": 4, "target": 8}, {"source": 4, "target": 9}, {"source": 7, "target": 8}]}
{"states": [63, 511], "expectation_value": -2.0702588516857356, "params": [[-0.0599], [0.062200000000000005]], "bitstrings": ["111000000", "000000000"], "total_optimization_steps": 10, "probabilities": [0.003179104768408564, 0.0033136167255936105], "optimization_time": 1.0138466358184814}
-1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(4)) + -3.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -3.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(6)) + -3.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + -3.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -3.0 * Z(4) + 1.0 * Z(3) + 1.0 * Z(6) + 1.0 * Z(7) + 1.0 * Z(5) + 1.0 * Z(8)
1
9
1
{"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["000000000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[1], q[0]; rz(0.1797) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(-0.0599) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.1797) q[2]; cx q[0], q[2]; cx q[4], q[3]; rz(0.4193) q[3]; cx q[4], q[3]; cx q[4], q[6]; rz(0.4193) q[6]; cx q[4], q[6]; cx q[3], q[6]; rz(0.2396) q[6]; cx q[3], q[6]; cx q[4], q[7]; rz(0.4193) q[7]; cx q[4], q[7]; cx q[3], q[7]; rz(0.2396) q[7]; cx q[3], q[7]; cx q[6], q[7]; rz(0.2396) q[7]; cx q[6], q[7]; cx q[4], q[5]; rz(0.4193) q[5]; cx q[4], q[5]; cx q[3], q[5]; rz(-0.0599) q[5]; cx q[3], q[5]; cx q[6], q[5]; rz(-0.0599) q[5]; cx q[6], q[5]; cx q[7], q[5]; rz(-0.0599) q[5]; cx q[7], q[5]; cx q[4], q[8]; rz(0.4193) q[8]; cx q[4], q[8]; cx q[3], q[8]; rz(-0.0599) q[8]; cx q[3], q[8]; cx q[6], q[8]; rz(-0.0599) q[8]; cx q[6], q[8]; cx q[7], q[8]; rz(-0.0599) q[8]; cx q[7], q[8]; cx q[5], q[8]; rz(-0.0599) q[8]; cx q[5], q[8]; rz(-0.0599) q[1]; rz(-0.0599) q[0]; rz(-0.0599) q[2]; rz(0.3594) q[4]; rz(-0.1198) q[3]; rz(-0.1198) q[6]; rz(-0.1198) q[7]; rz(-0.1198) q[5]; rz(-0.1198) q[8]; h q[0]; rz(0.1244) q[0]; h q[0]; h q[1]; rz(0.1244) q[1]; h q[1]; h q[2]; rz(0.1244) q[2]; h q[2]; h q[3]; rz(0.1244) q[3]; h q[3]; h q[4]; rz(0.1244) q[4]; h q[4]; h q[5]; rz(0.1244) q[5]; h q[5]; h q[6]; rz(0.1244) q[6]; h q[6]; h q[7]; rz(0.1244) q[7]; h q[7]; h q[8]; rz(0.1244) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x1) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[4], q[3]; rz(x2) q[3]; cx q[4], q[3]; cx q[4], q[6]; rz(x2) q[6]; cx q[4], q[6]; cx q[3], q[6]; rz(x3) q[6]; cx q[3], q[6]; cx q[4], q[7]; rz(x2) q[7]; cx q[4], q[7]; cx q[3], q[7]; rz(x3) q[7]; cx q[3], q[7]; cx q[6], q[7]; rz(x3) q[7]; cx q[6], q[7]; cx q[4], q[5]; rz(x2) q[5]; cx q[4], q[5]; cx q[3], q[5]; rz(x1) q[5]; cx q[3], q[5]; cx q[6], q[5]; rz(x1) q[5]; cx q[6], q[5]; cx q[7], q[5]; rz(x1) q[5]; cx q[7], q[5]; cx q[4], q[8]; rz(x2) q[8]; cx q[4], q[8]; cx q[3], q[8]; rz(x1) q[8]; cx q[3], q[8]; cx q[6], q[8]; rz(x1) q[8]; cx q[6], q[8]; cx q[7], q[8]; rz(x1) q[8]; cx q[7], q[8]; cx q[5], q[8]; rz(x1) q[8]; cx q[5], q[8]; rz(x1) q[1]; rz(x1) q[0]; rz(x1) q[2]; rz(x4) q[4]; rz(x5) q[3]; rz(x5) q[6]; rz(x5) q[7]; rz(x5) q[5]; rz(x5) q[8]; h q[0]; rz(x6) q[0]; h q[0]; h q[1]; rz(x6) q[1]; h q[1]; h q[2]; rz(x6) q[2]; h q[2]; h q[3]; rz(x6) q[3]; h q[3]; h q[4]; rz(x6) q[4]; h q[4]; h q[5]; rz(x6) q[5]; h q[5]; h q[6]; rz(x6) q[6]; h q[6]; h q[7]; rz(x6) q[7]; h q[7]; h q[8]; rz(x6) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"node": 6}
{"circuits": [], "gradients": []}
ed17940d27aebadda70c31c5b11d2e16
matching
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 9, "source": 0, "target": 4}, {"weight": 12, "source": 0, "target": 6}, {"weight": 6, "source": 1, "target": 5}, {"weight": 13, "source": 1, "target": 4}, {"weight": 13, "source": 1, "target": 7}, {"weight": 4, "source": 2, "target": 6}, {"weight": 17, "source": 2, "target": 4}, {"weight": 3, "source": 3, "target": 7}, {"weight": 18, "source": 3, "target": 5}]}
{"states": [442, 218], "expectation_value": -12.430252022015267, "params": [[-0.028800000000000003, -0.0313, -0.0129], [0.038200000000000005, 0.0475, 0.035500000000000004]], "bitstrings": ["001000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.0060558589831438804, 0.007033437322857238], "optimization_time": 5.4817705154418945}
4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 6.0 * Z(1) + 9.0 * Z(0) + 15.5 * Z(2) + 11.0 * Z(4) + 7.5 * Z(3) + 13.0 * Z(5) + 2.0 * Z(6) + 1.5 * Z(8) + 9.0 * Z(7)
1
9
3
{"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["100100101"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[1], q[0]; rz(-0.2592) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(-0.2592) q[2]; cx q[0], q[2]; cx q[2], q[4]; rz(-0.2592) q[4]; cx q[2], q[4]; cx q[2], q[3]; rz(-0.2592) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(-0.2592) q[3]; cx q[4], q[3]; cx q[0], q[5]; rz(-0.2592) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(-0.2592) q[5]; cx q[2], q[5]; cx q[1], q[6]; rz(-0.2592) q[6]; cx q[1], q[6]; cx q[5], q[6]; rz(-0.2592) q[6]; cx q[5], q[6]; cx q[4], q[8]; rz(-0.2592) q[8]; cx q[4], q[8]; cx q[3], q[7]; rz(-0.2592) q[7]; cx q[3], q[7]; cx q[8], q[7]; rz(-0.2592) q[7]; cx q[8], q[7]; rz(-0.3456) q[1]; rz(-0.5184) q[0]; rz(-0.8928) q[2]; rz(-0.6336) q[4]; rz(-0.432) q[3]; rz(-0.7488) q[5]; rz(-0.1152) q[6]; rz(-0.0864) q[8]; rz(-0.5184) q[7]; h q[0]; rz(0.0764) q[0]; h q[0]; h q[1]; rz(0.0764) q[1]; h q[1]; h q[2]; rz(0.0764) q[2]; h q[2]; h q[3]; rz(0.0764) q[3]; h q[3]; h q[4]; rz(0.0764) q[4]; h q[4]; h q[5]; rz(0.0764) q[5]; h q[5]; h q[6]; rz(0.0764) q[6]; h q[6]; h q[7]; rz(0.0764) q[7]; h q[7]; h q[8]; rz(0.0764) q[8]; h q[8]; cx q[1], q[0]; rz(-0.2817) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(-0.2817) q[2]; cx q[0], q[2]; cx q[2], q[4]; rz(-0.2817) q[4]; cx q[2], q[4]; cx q[2], q[3]; rz(-0.2817) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(-0.2817) q[3]; cx q[4], q[3]; cx q[0], q[5]; rz(-0.2817) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(-0.2817) q[5]; cx q[2], q[5]; cx q[1], q[6]; rz(-0.2817) q[6]; cx q[1], q[6]; cx q[5], q[6]; rz(-0.2817) q[6]; cx q[5], q[6]; cx q[4], q[8]; rz(-0.2817) q[8]; cx q[4], q[8]; cx q[3], q[7]; rz(-0.2817) q[7]; cx q[3], q[7]; cx q[8], q[7]; rz(-0.2817) q[7]; cx q[8], q[7]; rz(-0.3756) q[1]; rz(-0.5634) q[0]; rz(-0.9703) q[2]; rz(-0.6886) q[4]; rz(-0.4695) q[3]; rz(-0.8138) q[5]; rz(-0.1252) q[6]; rz(-0.0939) q[8]; rz(-0.5634) q[7]; h q[0]; rz(0.095) q[0]; h q[0]; h q[1]; rz(0.095) q[1]; h q[1]; h q[2]; rz(0.095) q[2]; h q[2]; h q[3]; rz(0.095) q[3]; h q[3]; h q[4]; rz(0.095) q[4]; h q[4]; h q[5]; rz(0.095) q[5]; h q[5]; h q[6]; rz(0.095) q[6]; h q[6]; h q[7]; rz(0.095) q[7]; h q[7]; h q[8]; rz(0.095) q[8]; h q[8]; cx q[1], q[0]; rz(-0.1161) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(-0.1161) q[2]; cx q[0], q[2]; cx q[2], q[4]; rz(-0.1161) q[4]; cx q[2], q[4]; cx q[2], q[3]; rz(-0.1161) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(-0.1161) q[3]; cx q[4], q[3]; cx q[0], q[5]; rz(-0.1161) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(-0.1161) q[5]; cx q[2], q[5]; cx q[1], q[6]; rz(-0.1161) q[6]; cx q[1], q[6]; cx q[5], q[6]; rz(-0.1161) q[6]; cx q[5], q[6]; cx q[4], q[8]; rz(-0.1161) q[8]; cx q[4], q[8]; cx q[3], q[7]; rz(-0.1161) q[7]; cx q[3], q[7]; cx q[8], q[7]; rz(-0.1161) q[7]; cx q[8], q[7]; rz(-0.1548) q[1]; rz(-0.2322) q[0]; rz(-0.3999) q[2]; rz(-0.2838) q[4]; rz(-0.1935) q[3]; rz(-0.3354) q[5]; rz(-0.0516) q[6]; rz(-0.0387) q[8]; rz(-0.2322) q[7]; h q[0]; rz(0.071) q[0]; h q[0]; h q[1]; rz(0.071) q[1]; h q[1]; h q[2]; rz(0.071) q[2]; h q[2]; h q[3]; rz(0.071) q[3]; h q[3]; h q[4]; rz(0.071) q[4]; h q[4]; h q[5]; rz(0.071) q[5]; h q[5]; h q[6]; rz(0.071) q[6]; h q[6]; h q[7]; rz(0.071) q[7]; h q[7]; h q[8]; rz(0.071) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[2], q[4]; rz(x0) q[4]; cx q[2], q[4]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(x0) q[3]; cx q[4], q[3]; cx q[0], q[5]; rz(x0) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x0) q[5]; cx q[2], q[5]; cx q[1], q[6]; rz(x0) q[6]; cx q[1], q[6]; cx q[5], q[6]; rz(x0) q[6]; cx q[5], q[6]; cx q[4], q[8]; rz(x0) q[8]; cx q[4], q[8]; cx q[3], q[7]; rz(x0) q[7]; cx q[3], q[7]; cx q[8], q[7]; rz(x0) q[7]; cx q[8], q[7]; rz(x1) q[1]; rz(x2) q[0]; rz(x3) q[2]; rz(x4) q[4]; rz(x5) q[3]; rz(x6) q[5]; rz(x7) q[6]; rz(x8) q[8]; rz(x2) q[7]; h q[0]; rz(x9) q[0]; h q[0]; h q[1]; rz(x9) q[1]; h q[1]; h q[2]; rz(x9) q[2]; h q[2]; h q[3]; rz(x9) q[3]; h q[3]; h q[4]; rz(x9) q[4]; h q[4]; h q[5]; rz(x9) q[5]; h q[5]; h q[6]; rz(x9) q[6]; h q[6]; h q[7]; rz(x9) q[7]; h q[7]; h q[8]; rz(x9) q[8]; h q[8]; cx q[1], q[0]; rz(x10) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(x10) q[2]; cx q[0], q[2]; cx q[2], q[4]; rz(x10) q[4]; cx q[2], q[4]; cx q[2], q[3]; rz(x10) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(x10) q[3]; cx q[4], q[3]; cx q[0], q[5]; rz(x10) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x10) q[5]; cx q[2], q[5]; cx q[1], q[6]; rz(x10) q[6]; cx q[1], q[6]; cx q[5], q[6]; rz(x10) q[6]; cx q[5], q[6]; cx q[4], q[8]; rz(x10) q[8]; cx q[4], q[8]; cx q[3], q[7]; rz(x10) q[7]; cx q[3], q[7]; cx q[8], q[7]; rz(x10) q[7]; cx q[8], q[7]; rz(x11) q[1]; rz(x12) q[0]; rz(x13) q[2]; rz(x14) q[4]; rz(x15) q[3]; rz(x16) q[5]; rz(x17) q[6]; rz(x18) q[8]; rz(x12) q[7]; h q[0]; rz(x19) q[0]; h q[0]; h q[1]; rz(x19) q[1]; h q[1]; h q[2]; rz(x19) q[2]; h q[2]; h q[3]; rz(x19) q[3]; h q[3]; h q[4]; rz(x19) q[4]; h q[4]; h q[5]; rz(x19) q[5]; h q[5]; h q[6]; rz(x19) q[6]; h q[6]; h q[7]; rz(x19) q[7]; h q[7]; h q[8]; rz(x19) q[8]; h q[8]; cx q[1], q[0]; rz(x20) q[0]; cx q[1], q[0]; cx q[0], q[2]; rz(x20) q[2]; cx q[0], q[2]; cx q[2], q[4]; rz(x20) q[4]; cx q[2], q[4]; cx q[2], q[3]; rz(x20) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(x20) q[3]; cx q[4], q[3]; cx q[0], q[5]; rz(x20) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x20) q[5]; cx q[2], q[5]; cx q[1], q[6]; rz(x20) q[6]; cx q[1], q[6]; cx q[5], q[6]; rz(x20) q[6]; cx q[5], q[6]; cx q[4], q[8]; rz(x20) q[8]; cx q[4], q[8]; cx q[3], q[7]; rz(x20) q[7]; cx q[3], q[7]; cx q[8], q[7]; rz(x20) q[7]; cx q[8], q[7]; rz(x21) q[1]; rz(x22) q[0]; rz(x23) q[2]; rz(x24) q[4]; rz(x25) q[3]; rz(x26) q[5]; rz(x27) q[6]; rz(x28) q[8]; rz(x22) q[7]; h q[0]; rz(x29) q[0]; h q[0]; h q[1]; rz(x29) q[1]; h q[1]; h q[2]; rz(x29) q[2]; h q[2]; h q[3]; rz(x29) q[3]; h q[3]; h q[4]; rz(x29) q[4]; h q[4]; h q[5]; rz(x29) q[5]; h q[5]; h q[6]; rz(x29) q[6]; h q[6]; h q[7]; rz(x29) q[7]; h q[7]; h q[8]; rz(x29) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"}
{"circuits": [], "gradients": []}
58fa04385078dcdc0b5f9361c481400a
edge_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]}
{"states": [207, 205], "expectation_value": -0.6342479415594341, "params": [0.6247, 0.1705, 0.874, 0.3271, 0.3098, 0.3884, 0.3269, 0.4011, 0.8151, 0.4052, 0.6392, 0.12010000000000001, 0.5835, -0.30710000000000004, 0.8366, -0.2591, 0.6077, 0.1626, 0.8371000000000001, 0.35300000000000004, 0.27790000000000004, 0.39030000000000004, 0.27690000000000003, 0.39890000000000003, 0.7172000000000001, 0.3919, 0.6263000000000001, 0.1325, 0.5383, -0.30560000000000004, 0.795, -0.2748, 0.6049, 0.0036000000000000003, 0.8674000000000001, 0.007, 0.2684, 0.0067, 0.26930000000000004, 0.0021000000000000003, 0.7976000000000001, 0.0032, 0.6243000000000001, 0.0057, 0.5439, 0.0099, 0.8154, 0.0021000000000000003, 0.1892, 0.41600000000000004, 0.39180000000000004, -0.3821, 0.4117, 0.33190000000000003, -0.08420000000000001, -0.3183, 0.1635, 0.37920000000000004, 0.4051, -0.2252, 0.4076, 0.3386, -0.1047, -0.3169, 0.0047, 0.0098, 0.006, 0.0074, 0.0004, 0.0028, 0.0012000000000000001, 0.003], "bitstrings": ["00110000", "00110010"], "total_optimization_steps": 90, "probabilities": [0.06530466283702466, 0.07185752257201153], "optimization_time": 43.81844139099121}
0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(6) @ Z(1) @ Z(4)) + -0.125 * (Z(1) @ Z(4) @ Z(7)) + -0.125 * (Z(6) @ Z(1) @ Z(7)) + -0.125 * (Z(6) @ Z(4) @ Z(7)) + 0.125 * (Z(6) @ Z(1) @ Z(4) @ Z(7)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(2) @ Z(7) @ Z(5)) + 0.0 * Z(0) + 0.125 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + 0.125 * Z(4) + 0.0 * Z(5) + 0.125 * Z(6) + 0.125 * Z(7)
18
8
3
{"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.125, "smallest_bitstrings": ["00110010", "01000110", "01010001", "01110000", "10001001", "01010100", "00111000", "10000110", "10010001", "10001100", "10101000", "10000101", "00101010", "11000100", "00100110", "00110001"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; rx(0.6247) q[0]; rz(0.1705) q[0]; rx(0.874) q[1]; rz(0.3271) q[1]; rx(0.3098) q[2]; rz(0.3884) q[2]; rx(0.3269) q[3]; rz(0.4011) q[3]; rx(0.8151) q[4]; rz(0.4052) q[4]; rx(0.6392) q[5]; rz(0.1201) q[5]; rx(0.5835) q[6]; rz(-0.3071) q[6]; rx(0.8366) q[7]; rz(-0.2591) q[7]; crz(0.1892) q[7], q[0]; crz(-0.3183) q[6], q[7]; crz(-0.0842) q[5], q[6]; crz(0.3319) q[4], q[5]; crz(0.4117) q[3], q[4]; crz(-0.3821) q[2], q[3]; crz(0.3918) q[1], q[2]; crz(0.416) q[0], q[1]; rx(0.6077) q[0]; rz(0.1626) q[0]; rx(0.8371) q[1]; rz(0.353) q[1]; rx(0.2779) q[2]; rz(0.3903) q[2]; rx(0.2769) q[3]; rz(0.3989) q[3]; rx(0.7172) q[4]; rz(0.3919) q[4]; rx(0.6263) q[5]; rz(0.1325) q[5]; rx(0.5383) q[6]; rz(-0.3056) q[6]; rx(0.795) q[7]; rz(-0.2748) q[7]; crz(0.1635) q[7], q[0]; crz(-0.3169) q[6], q[7]; crz(-0.1047) q[5], q[6]; crz(0.3386) q[4], q[5]; crz(0.4076) q[3], q[4]; crz(-0.2252) q[2], q[3]; crz(0.4051) q[1], q[2]; crz(0.3792) q[0], q[1]; rx(0.6049) q[0]; rz(0.0036) q[0]; rx(0.8674) q[1]; rz(0.007) q[1]; rx(0.2684) q[2]; rz(0.0067) q[2]; rx(0.2693) q[3]; rz(0.0021) q[3]; rx(0.7976) q[4]; rz(0.0032) q[4]; rx(0.6243) q[5]; rz(0.0057) q[5]; rx(0.5439) q[6]; rz(0.0099) q[6]; rx(0.8154) q[7]; rz(0.0021) q[7]; crz(0.0047) q[7], q[0]; crz(0.003) q[6], q[7]; crz(0.0012) q[5], q[6]; crz(0.0028) q[4], q[5]; crz(0.0004) q[3], q[4]; crz(0.0074) q[2], q[3]; crz(0.006) q[1], q[2]; crz(0.0098) q[0], q[1]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; crz(x16) q[7], q[0]; crz(x17) q[6], q[7]; crz(x18) q[5], q[6]; crz(x19) q[4], q[5]; crz(x20) q[3], q[4]; crz(x21) q[2], q[3]; crz(x22) q[1], q[2]; crz(x23) q[0], q[1]; rx(x24) q[0]; rz(x25) q[0]; rx(x26) q[1]; rz(x27) q[1]; rx(x28) q[2]; rz(x29) q[2]; rx(x30) q[3]; rz(x31) q[3]; rx(x32) q[4]; rz(x33) q[4]; rx(x34) q[5]; rz(x35) q[5]; rx(x36) q[6]; rz(x37) q[6]; rx(x38) q[7]; rz(x39) q[7]; crz(x40) q[7], q[0]; crz(x41) q[6], q[7]; crz(x42) q[5], q[6]; crz(x43) q[4], q[5]; crz(x44) q[3], q[4]; crz(x45) q[2], q[3]; crz(x46) q[1], q[2]; crz(x47) q[0], q[1]; rx(x48) q[0]; rz(x49) q[0]; rx(x50) q[1]; rz(x51) q[1]; rx(x52) q[2]; rz(x53) q[2]; rx(x54) q[3]; rz(x55) q[3]; rx(x56) q[4]; rz(x57) q[4]; rx(x58) q[5]; rz(x59) q[5]; rx(x60) q[6]; rz(x61) q[6]; rx(x62) q[7]; rz(x55) q[7]; crz(x63) q[7], q[0]; crz(x64) q[6], q[7]; crz(x65) q[5], q[6]; crz(x66) q[4], q[5]; crz(x67) q[3], q[4]; crz(x68) q[2], q[3]; crz(x69) q[1], q[2]; crz(x70) q[0], q[1]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
null
{"circuits": [], "gradients": []}
1d36f605f450bd24c53bed4c61ab6422
min_cut
qaoa
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "source": 4, "target": 3}, {"capacity": 1, "source": 4, "target": 5}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 2, "source": 5, "target": 3}, {"capacity": 1, "source": 5, "target": 4}, {"capacity": 1, "source": 5, "target": 6}]}
{"states": [51, 35], "expectation_value": -0.6990192403016737, "params": [[0.0722, 0.061000000000000006, 0.0654], [-0.06860000000000001, -0.0511, -0.0492]], "bitstrings": ["1001100", "1011100"], "total_optimization_steps": 10, "probabilities": [0.013967852646237365, 0.014448856389640254], "optimization_time": 3.7291078567504883}
-0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(1) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -1.0 * Z(3) + -0.25 * Z(0) + -0.75 * Z(4) + 0.25 * Z(2) + 0.25 * Z(1) + 0.25 * Z(6) + 1.25 * Z(5)
1
7
3
{"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011100", "1001100"]}
OPENQASM 3.0; include "stdgates.inc"; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[3], q[0]; rz(-0.0361) q[0]; cx q[3], q[0]; cx q[3], q[4]; rz(-0.0361) q[4]; cx q[3], q[4]; cx q[0], q[4]; rz(-0.0722) q[4]; cx q[0], q[4]; cx q[4], q[2]; rz(-0.0722) q[2]; cx q[4], q[2]; cx q[2], q[1]; rz(-0.0361) q[1]; cx q[2], q[1]; cx q[0], q[6]; rz(0.1444) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(-0.0722) q[6]; cx q[1], q[6]; cx q[3], q[5]; rz(-0.0722) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(-0.0722) q[5]; cx q[4], q[5]; cx q[1], q[5]; rz(-0.0722) q[5]; cx q[1], q[5]; cx q[6], q[5]; rz(-0.0361) q[5]; cx q[6], q[5]; rz(-0.1444) q[3]; rz(-0.0361) q[0]; rz(-0.1083) q[4]; rz(0.0361) q[2]; rz(0.0361) q[1]; rz(0.0361) q[6]; rz(0.1805) q[5]; h q[0]; rz(-0.1372) q[0]; h q[0]; h q[1]; rz(-0.1372) q[1]; h q[1]; h q[2]; rz(-0.1372) q[2]; h q[2]; h q[3]; rz(-0.1372) q[3]; h q[3]; h q[4]; rz(-0.1372) q[4]; h q[4]; h q[5]; rz(-0.1372) q[5]; h q[5]; h q[6]; rz(-0.1372) q[6]; h q[6]; cx q[3], q[0]; rz(-0.0305) q[0]; cx q[3], q[0]; cx q[3], q[4]; rz(-0.0305) q[4]; cx q[3], q[4]; cx q[0], q[4]; rz(-0.061) q[4]; cx q[0], q[4]; cx q[4], q[2]; rz(-0.061) q[2]; cx q[4], q[2]; cx q[2], q[1]; rz(-0.0305) q[1]; cx q[2], q[1]; cx q[0], q[6]; rz(0.122) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(-0.061) q[6]; cx q[1], q[6]; cx q[3], q[5]; rz(-0.061) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(-0.061) q[5]; cx q[4], q[5]; cx q[1], q[5]; rz(-0.061) q[5]; cx q[1], q[5]; cx q[6], q[5]; rz(-0.0305) q[5]; cx q[6], q[5]; rz(-0.122) q[3]; rz(-0.0305) q[0]; rz(-0.0915) q[4]; rz(0.0305) q[2]; rz(0.0305) q[1]; rz(0.0305) q[6]; rz(0.1525) q[5]; h q[0]; rz(-0.1022) q[0]; h q[0]; h q[1]; rz(-0.1022) q[1]; h q[1]; h q[2]; rz(-0.1022) q[2]; h q[2]; h q[3]; rz(-0.1022) q[3]; h q[3]; h q[4]; rz(-0.1022) q[4]; h q[4]; h q[5]; rz(-0.1022) q[5]; h q[5]; h q[6]; rz(-0.1022) q[6]; h q[6]; cx q[3], q[0]; rz(-0.0327) q[0]; cx q[3], q[0]; cx q[3], q[4]; rz(-0.0327) q[4]; cx q[3], q[4]; cx q[0], q[4]; rz(-0.0654) q[4]; cx q[0], q[4]; cx q[4], q[2]; rz(-0.0654) q[2]; cx q[4], q[2]; cx q[2], q[1]; rz(-0.0327) q[1]; cx q[2], q[1]; cx q[0], q[6]; rz(0.1308) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(-0.0654) q[6]; cx q[1], q[6]; cx q[3], q[5]; rz(-0.0654) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(-0.0654) q[5]; cx q[4], q[5]; cx q[1], q[5]; rz(-0.0654) q[5]; cx q[1], q[5]; cx q[6], q[5]; rz(-0.0327) q[5]; cx q[6], q[5]; rz(-0.1308) q[3]; rz(-0.0327) q[0]; rz(-0.0981) q[4]; rz(0.0327) q[2]; rz(0.0327) q[1]; rz(0.0327) q[6]; rz(0.1635) q[5]; h q[0]; rz(-0.0984) q[0]; h q[0]; h q[1]; rz(-0.0984) q[1]; h q[1]; h q[2]; rz(-0.0984) q[2]; h q[2]; h q[3]; rz(-0.0984) q[3]; h q[3]; h q[4]; rz(-0.0984) q[4]; h q[4]; h q[5]; rz(-0.0984) q[5]; h q[5]; h q[6]; rz(-0.0984) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[3], q[0]; rz(x0) q[0]; cx q[3], q[0]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[0], q[4]; rz(x1) q[4]; cx q[0], q[4]; cx q[4], q[2]; rz(x1) q[2]; cx q[4], q[2]; cx q[2], q[1]; rz(x0) q[1]; cx q[2], q[1]; cx q[0], q[6]; rz(x2) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(x1) q[6]; cx q[1], q[6]; cx q[3], q[5]; rz(x1) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x1) q[5]; cx q[4], q[5]; cx q[1], q[5]; rz(x1) q[5]; cx q[1], q[5]; cx q[6], q[5]; rz(x0) q[5]; cx q[6], q[5]; rz(x3) q[3]; rz(x0) q[0]; rz(x4) q[4]; rz(x5) q[2]; rz(x5) q[1]; rz(x5) q[6]; rz(x6) q[5]; h q[0]; rz(x7) q[0]; h q[0]; h q[1]; rz(x7) q[1]; h q[1]; h q[2]; rz(x7) q[2]; h q[2]; h q[3]; rz(x7) q[3]; h q[3]; h q[4]; rz(x7) q[4]; h q[4]; h q[5]; rz(x7) q[5]; h q[5]; h q[6]; rz(x7) q[6]; h q[6]; cx q[3], q[0]; rz(x8) q[0]; cx q[3], q[0]; cx q[3], q[4]; rz(x8) q[4]; cx q[3], q[4]; cx q[0], q[4]; rz(x9) q[4]; cx q[0], q[4]; cx q[4], q[2]; rz(x9) q[2]; cx q[4], q[2]; cx q[2], q[1]; rz(x8) q[1]; cx q[2], q[1]; cx q[0], q[6]; rz(x10) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(x9) q[6]; cx q[1], q[6]; cx q[3], q[5]; rz(x9) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x9) q[5]; cx q[4], q[5]; cx q[1], q[5]; rz(x9) q[5]; cx q[1], q[5]; cx q[6], q[5]; rz(x8) q[5]; cx q[6], q[5]; rz(x11) q[3]; rz(x8) q[0]; rz(x12) q[4]; rz(x13) q[2]; rz(x13) q[1]; rz(x13) q[6]; rz(x14) q[5]; h q[0]; rz(x15) q[0]; h q[0]; h q[1]; rz(x15) q[1]; h q[1]; h q[2]; rz(x15) q[2]; h q[2]; h q[3]; rz(x15) q[3]; h q[3]; h q[4]; rz(x15) q[4]; h q[4]; h q[5]; rz(x15) q[5]; h q[5]; h q[6]; rz(x15) q[6]; h q[6]; cx q[3], q[0]; rz(x16) q[0]; cx q[3], q[0]; cx q[3], q[4]; rz(x16) q[4]; cx q[3], q[4]; cx q[0], q[4]; rz(x17) q[4]; cx q[0], q[4]; cx q[4], q[2]; rz(x17) q[2]; cx q[4], q[2]; cx q[2], q[1]; rz(x16) q[1]; cx q[2], q[1]; cx q[0], q[6]; rz(x18) q[6]; cx q[0], q[6]; cx q[1], q[6]; rz(x17) q[6]; cx q[1], q[6]; cx q[3], q[5]; rz(x17) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x17) q[5]; cx q[4], q[5]; cx q[1], q[5]; rz(x17) q[5]; cx q[1], q[5]; cx q[6], q[5]; rz(x16) q[5]; cx q[6], q[5]; rz(x19) q[3]; rz(x16) q[0]; rz(x20) q[4]; rz(x21) q[2]; rz(x21) q[1]; rz(x21) q[6]; rz(x22) q[5]; h q[0]; rz(x23) q[0]; h q[0]; h q[1]; rz(x23) q[1]; h q[1]; h q[2]; rz(x23) q[2]; h q[2]; h q[3]; rz(x23) q[3]; h q[3]; h q[4]; rz(x23) q[4]; h q[4]; h q[5]; rz(x23) q[5]; h q[5]; h q[6]; rz(x23) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
{"source": 0, "sink": 6}
{"circuits": [], "gradients": []}
44db6493095286b918fb0c5bac33de1d
edge_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 5, "target": 7}]}
{"states": [12, 44], "expectation_value": -2.3315010912557774, "params": [[[0.5488000000000001, 0.12810000000000002], [0.5585, 0.1311], [0.8047000000000001, 0.0023], [0.0028, 0.5967], [0.8036000000000001, 0.0014], [0.8037000000000001, -0.0012000000000000001], [0.0023, 0.5991000000000001], [0.0029000000000000002, 0.5796]], [[0.5475, 0.003], [0.5643, 0.0083], [0.8004, 0.009600000000000001], [0.0028, 0.0086], [0.8079000000000001, 0.0053], [0.8082, 0.00030000000000000003], [0.0023, 0.0037], [0.0029000000000000002, 0.009000000000000001]]], "bitstrings": ["11110011", "11010011"], "total_optimization_steps": 80, "probabilities": [0.06847968922816591, 0.07335628993648623], "optimization_time": 4.358645439147949}
0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(3)) + -0.125 * (Z(4) @ Z(3) @ Z(6)) + -0.125 * (Z(5) @ Z(3) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(4) @ Z(5) @ Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.625 * Z(3) + -0.125 * Z(4) + -0.125 * Z(5) + -0.625 * Z(6) + -1.0 * Z(7)
1
8
2
{"smallest_eigenvalues": [-3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.875, "smallest_bitstrings": ["10010111", "01011011", "11010011"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; rx(0.5488) q[0]; rz(0.1281) q[0]; rx(0.5585) q[1]; rz(0.1311) q[1]; rx(0.8047) q[2]; rz(0.0023) q[2]; rx(0.0028) q[3]; rz(0.5967) q[3]; rx(0.8036) q[4]; rz(0.0014) q[4]; rx(0.8037) q[5]; rz(-0.0012) q[5]; rx(0.0023) q[6]; rz(0.5991) q[6]; rx(0.0029) q[7]; rz(0.5796) q[7]; rx(0.5475) q[0]; rz(0.003) q[0]; rx(0.5643) q[1]; rz(0.0083) q[1]; rx(0.8004) q[2]; rz(0.0096) q[2]; rx(0.0028) q[3]; rz(0.0086) q[3]; rx(0.8079) q[4]; rz(0.0053) q[4]; rx(0.8082) q[5]; rz(0.0003) q[5]; rx(0.0023) q[6]; rz(0.0037) q[6]; rx(0.0029) q[7]; rz(0.009) q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x5) q[6]; rz(x12) q[6]; rx(x13) q[7]; rz(x14) q[7]; rx(x15) q[0]; rz(x16) q[0]; rx(x17) q[1]; rz(x18) q[1]; rx(x19) q[2]; rz(x20) q[2]; rx(x6) q[3]; rz(x21) q[3]; rx(x22) q[4]; rz(x23) q[4]; rx(x24) q[5]; rz(x25) q[5]; rx(x5) q[6]; rz(x26) q[6]; rx(x13) q[7]; rz(x27) q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
null
{"circuits": [], "gradients": []}
7e799239f8573f120a2c5e15cda2e88f
vertex_cover
adaptive_vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]}
{"states": [14, 7], "expectation_value": -2.4964641631109394, "params": null, "bitstrings": ["10001", "11000"], "total_optimization_steps": 19, "probabilities": [0.06634837994070204, 0.9303663571679487], "optimization_time": 8.287782907485962}
0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -0.5 * Z(1) + 0.0 * Z(4)
1
5
1
{"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["10001", "11000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[5] c; qubit[5] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; ry(-1.5681) q[0]; ry(1.4449) q[3]; ry(1.4449) q[2]; cry(-1.0343) q[4], q[1]; ry(0.7003) q[4]; ry(-0.4549) q[1]; cry(0.4963) q[3], q[4]; cry(-0.3789) q[3], q[1]; cry(0.2489) q[2], q[4]; cry(-0.1488) q[2], q[1]; cry(0.118) q[3], q[2]; cry(0.1156) q[2], q[3]; cry(-0.0027) q[3], q[0]; cry(-0.0227) q[1], q[4]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4];
null
null
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\ncry(-0.1488) q[2], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\ncry(-0.1488) q[2], q[1];\ncry(0.118) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\ncry(-0.1488) q[2], q[1];\ncry(0.118) q[3], q[2];\ncry(0.1156) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\ncry(-0.1488) q[2], q[1];\ncry(0.118) q[3], q[2];\ncry(0.1156) q[2], q[3];\ncry(-0.0027) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\ncry(-0.1488) q[2], q[1];\ncry(0.118) q[3], q[2];\ncry(0.1156) q[2], q[3];\ncry(-0.0027) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\ncry(-0.1488) q[2], q[1];\ncry(0.118) q[3], q[2];\ncry(0.1156) q[2], q[3];\ncry(-0.0027) q[3], q[0];\ncry(-0.0227) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\ncry(-0.1488) q[2], q[1];\ncry(0.118) q[3], q[2];\ncry(0.1156) q[2], q[3];\ncry(-0.0027) q[3], q[0];\ncry(-0.0227) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\ncry(-0.1488) q[2], q[1];\ncry(0.118) q[3], q[2];\ncry(0.1156) q[2], q[3];\ncry(-0.0027) q[3], q[0];\ncry(-0.0227) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\ncry(-0.1488) q[2], q[1];\ncry(0.118) q[3], q[2];\ncry(0.1156) q[2], q[3];\ncry(-0.0027) q[3], q[0];\ncry(-0.0227) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nry(1.4449) q[3];\nry(1.4449) q[2];\ncry(-1.0343) q[4], q[1];\nry(0.7003) q[4];\nry(-0.4549) q[1];\ncry(0.4963) q[3], q[4];\ncry(-0.3789) q[3], q[1];\ncry(0.2489) q[2], q[4];\ncry(-0.1488) q[2], q[1];\ncry(0.118) q[3], q[2];\ncry(0.1156) q[2], q[3];\ncry(-0.0027) q[3], q[0];\ncry(-0.0227) q[1], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n"], "gradients": [1.0047, 0.5002, 0.5, 0.2509, 0.2452, 0.1886, 0.2237, 0.1882, 0.1273, 0.0785, 0.0612, 0.0601, 0.0089, 0.0063, 0.0049, 0.0047, 0.0031, 0.0031, 0.0028]}
c12dc8bfc0d8e8bc2e65cda825a741ab
min_cut
qaoa
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]}
{"states": [3, 1], "expectation_value": -0.11018709011519463, "params": [[-0.0402, -0.028200000000000003, -0.08020000000000001], [0.055200000000000006, 0.020800000000000003, 0.0673]], "bitstrings": ["100", "110"], "total_optimization_steps": 10, "probabilities": [0.13434759204846883, 0.14508861480303417], "optimization_time": 1.296553611755371}
-0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2)
1
3
3
{"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0, "smallest_bitstrings": ["110"]}
OPENQASM 3.0; include "stdgates.inc"; bit[3] c; qubit[3] q; h q[0]; h q[1]; h q[2]; cx q[1], q[0]; rz(0.0402) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.0201) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-0.0603) q[2]; cx q[0], q[2]; rz(0.0201) q[1]; rz(0.0201) q[0]; rz(-0.0402) q[2]; h q[0]; rz(0.1104) q[0]; h q[0]; h q[1]; rz(0.1104) q[1]; h q[1]; h q[2]; rz(0.1104) q[2]; h q[2]; cx q[1], q[0]; rz(0.0282) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.0141) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-0.0423) q[2]; cx q[0], q[2]; rz(0.0141) q[1]; rz(0.0141) q[0]; rz(-0.0282) q[2]; h q[0]; rz(0.0416) q[0]; h q[0]; h q[1]; rz(0.0416) q[1]; h q[1]; h q[2]; rz(0.0416) q[2]; h q[2]; cx q[1], q[0]; rz(0.0802) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.0401) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(-0.1203) q[2]; cx q[0], q[2]; rz(0.0401) q[1]; rz(0.0401) q[0]; rz(-0.0802) q[2]; h q[0]; rz(0.1346) q[0]; h q[0]; h q[1]; rz(0.1346) q[1]; h q[1]; h q[2]; rz(0.1346) q[2]; h q[2]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[3] c; qubit[3] q; h q[0]; h q[1]; h q[2]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x1) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x2) q[2]; cx q[0], q[2]; rz(x1) q[1]; rz(x1) q[0]; rz(x3) q[2]; h q[0]; rz(x4) q[0]; h q[0]; h q[1]; rz(x4) q[1]; h q[1]; h q[2]; rz(x4) q[2]; h q[2]; cx q[1], q[0]; rz(x5) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x6) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x7) q[2]; cx q[0], q[2]; rz(x6) q[1]; rz(x6) q[0]; rz(x8) q[2]; h q[0]; rz(x9) q[0]; h q[0]; h q[1]; rz(x9) q[1]; h q[1]; h q[2]; rz(x9) q[2]; h q[2]; cx q[1], q[0]; rz(x10) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x11) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x12) q[2]; cx q[0], q[2]; rz(x11) q[1]; rz(x11) q[0]; rz(x13) q[2]; h q[0]; rz(x14) q[0]; h q[0]; h q[1]; rz(x14) q[1]; h q[1]; h q[2]; rz(x14) q[2]; h q[2]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2];
{"source": 0, "sink": 2}
{"circuits": [], "gradients": []}
12210bdb8f7c5877d15ce0dea7afc09c
vertex_cover
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 8}, {"source": 2, "target": 9}, {"source": 3, "target": 5}, {"source": 4, "target": 7}, {"source": 4, "target": 9}, {"source": 5, "target": 8}, {"source": 7, "target": 8}]}
{"states": [797, 541], "expectation_value": -2.964683808546474, "params": [[[1.6013000000000002, 0.0021000000000000003], [1.5623, 0.0019], [0.14450000000000002, 0.0099], [0.5475, 0.0027], [0.1437, 0.009300000000000001], [1.603, 0.0035], [1.5891000000000002, 0.0007], [1.5999, 0.0019], [0.14880000000000002, 0.005200000000000001], [1.6077000000000001, 0.0076]]], "bitstrings": ["0011100010", "0111100010"], "total_optimization_steps": 160, "probabilities": [0.016335587333655515, 0.016615100051138306], "optimization_time": 2.9159953594207764}
0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(1) + 0.0 * Z(6) + -1.0 * Z(8) + -0.5 * Z(9) + -0.5 * Z(5) + -0.5 * Z(7)
1
10
1
{"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011101010", "0111100010"]}
OPENQASM 3.0; include "stdgates.inc"; bit[10] c; qubit[10] q; rx(1.6013) q[0]; rz(0.0021) q[0]; rx(1.5623) q[1]; rz(0.0019) q[1]; rx(0.1445) q[2]; rz(0.0099) q[2]; rx(0.5475) q[3]; rz(0.0027) q[3]; rx(0.1437) q[4]; rz(0.0093) q[4]; rx(1.603) q[5]; rz(0.0035) q[5]; rx(1.5891) q[6]; rz(0.0007) q[6]; rx(1.5999) q[7]; rz(0.0019) q[7]; rx(0.1488) q[8]; rz(0.0052) q[8]; rx(1.6077) q[9]; rz(0.0076) q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[10] c; qubit[10] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x3) q[7]; rx(x15) q[8]; rz(x16) q[8]; rx(x17) q[9]; rz(x18) q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9];
null
{"circuits": [], "gradients": []}
a617cd4648156ddc77f993201a7a952c
kclique
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 7}, {"source": 6, "target": 7}]}
{"states": [70, 7], "expectation_value": -12.373769903873796, "params": [[0.0129, 0.022500000000000003, 0.0079, 0.0125], [-0.028200000000000003, -0.0519, -0.052700000000000004, -0.0439]], "bitstrings": ["10111001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.008112079983223441, 0.008966988056707065], "optimization_time": 12.005473613739014}
2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + 3.0 * (Z(7) @ Z(1)) + 2.75 * (Z(7) @ Z(0)) + 3.0 * (Z(7) @ Z(2)) + 3.0 * (Z(7) @ Z(3)) + 3.0 * (Z(7) @ Z(4)) + 2.75 * (Z(7) @ Z(5)) + 2.75 * (Z(7) @ Z(6)) + -7.0 * Z(1) + -7.25 * Z(0) + -7.0 * Z(2) + -7.0 * Z(3) + -7.0 * Z(4) + -6.25 * Z(5) + -6.25 * Z(6) + -6.75 * Z(7)
9
8
4
{"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[1], q[0]; rz(0.0709) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.0709) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.0709) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(0.0709) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.0709) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.0709) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(0.0709) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(0.0709) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(0.0709) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(0.0709) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(0.0774) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(0.0774) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(0.0774) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(0.0774) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(0.0774) q[5]; cx q[4], q[5]; cx q[1], q[6]; rz(0.0774) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(0.0774) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(0.0774) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(0.0774) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(0.0774) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(0.0774) q[6]; cx q[5], q[6]; cx q[1], q[7]; rz(0.0774) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(0.0709) q[7]; cx q[0], q[7]; cx q[2], q[7]; rz(0.0774) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(0.0774) q[7]; cx q[3], q[7]; cx q[4], q[7]; rz(0.0774) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(0.0709) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(0.0709) q[7]; cx q[6], q[7]; rz(-0.1806) q[1]; rz(-0.187) q[0]; rz(-0.1806) q[2]; rz(-0.1806) q[3]; rz(-0.1806) q[4]; rz(-0.1613) q[5]; rz(-0.1613) q[6]; rz(-0.1741) q[7]; h q[0]; rz(-0.0564) q[0]; h q[0]; h q[1]; rz(-0.0564) q[1]; h q[1]; h q[2]; rz(-0.0564) q[2]; h q[2]; h q[3]; rz(-0.0564) q[3]; h q[3]; h q[4]; rz(-0.0564) q[4]; h q[4]; h q[5]; rz(-0.0564) q[5]; h q[5]; h q[6]; rz(-0.0564) q[6]; h q[6]; h q[7]; rz(-0.0564) q[7]; h q[7]; cx q[1], q[0]; rz(0.1238) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.1238) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.1238) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(0.1238) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.1238) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.1238) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(0.1238) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(0.1238) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(0.1238) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(0.1238) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(0.135) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(0.135) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(0.135) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(0.135) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(0.135) q[5]; cx q[4], q[5]; cx q[1], q[6]; rz(0.135) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(0.135) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(0.135) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(0.135) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(0.135) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(0.135) q[6]; cx q[5], q[6]; cx q[1], q[7]; rz(0.135) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(0.1238) q[7]; cx q[0], q[7]; cx q[2], q[7]; rz(0.135) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(0.135) q[7]; cx q[3], q[7]; cx q[4], q[7]; rz(0.135) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(0.1238) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(0.1238) q[7]; cx q[6], q[7]; rz(-0.315) q[1]; rz(-0.3263) q[0]; rz(-0.315) q[2]; rz(-0.315) q[3]; rz(-0.315) q[4]; rz(-0.2813) q[5]; rz(-0.2813) q[6]; rz(-0.3038) q[7]; h q[0]; rz(-0.1038) q[0]; h q[0]; h q[1]; rz(-0.1038) q[1]; h q[1]; h q[2]; rz(-0.1038) q[2]; h q[2]; h q[3]; rz(-0.1038) q[3]; h q[3]; h q[4]; rz(-0.1038) q[4]; h q[4]; h q[5]; rz(-0.1038) q[5]; h q[5]; h q[6]; rz(-0.1038) q[6]; h q[6]; h q[7]; rz(-0.1038) q[7]; h q[7]; cx q[1], q[0]; rz(0.0435) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.0435) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.0435) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(0.0435) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.0435) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.0435) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(0.0435) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(0.0435) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(0.0435) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(0.0435) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(0.0474) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(0.0474) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(0.0474) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(0.0474) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(0.0474) q[5]; cx q[4], q[5]; cx q[1], q[6]; rz(0.0474) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(0.0474) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(0.0474) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(0.0474) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(0.0474) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(0.0474) q[6]; cx q[5], q[6]; cx q[1], q[7]; rz(0.0474) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(0.0435) q[7]; cx q[0], q[7]; cx q[2], q[7]; rz(0.0474) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(0.0474) q[7]; cx q[3], q[7]; cx q[4], q[7]; rz(0.0474) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(0.0435) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(0.0435) q[7]; cx q[6], q[7]; rz(-0.1106) q[1]; rz(-0.1146) q[0]; rz(-0.1106) q[2]; rz(-0.1106) q[3]; rz(-0.1106) q[4]; rz(-0.0988) q[5]; rz(-0.0988) q[6]; rz(-0.1067) q[7]; h q[0]; rz(-0.1054) q[0]; h q[0]; h q[1]; rz(-0.1054) q[1]; h q[1]; h q[2]; rz(-0.1054) q[2]; h q[2]; h q[3]; rz(-0.1054) q[3]; h q[3]; h q[4]; rz(-0.1054) q[4]; h q[4]; h q[5]; rz(-0.1054) q[5]; h q[5]; h q[6]; rz(-0.1054) q[6]; h q[6]; h q[7]; rz(-0.1054) q[7]; h q[7]; cx q[1], q[0]; rz(0.0688) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.0688) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.0688) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(0.0688) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(0.0688) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(0.0688) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(0.0688) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(0.0688) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(0.0688) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(0.0688) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(0.075) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(0.075) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(0.075) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(0.075) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(0.075) q[5]; cx q[4], q[5]; cx q[1], q[6]; rz(0.075) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(0.075) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(0.075) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(0.075) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(0.075) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(0.075) q[6]; cx q[5], q[6]; cx q[1], q[7]; rz(0.075) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(0.0688) q[7]; cx q[0], q[7]; cx q[2], q[7]; rz(0.075) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(0.075) q[7]; cx q[3], q[7]; cx q[4], q[7]; rz(0.075) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(0.0688) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(0.0688) q[7]; cx q[6], q[7]; rz(-0.175) q[1]; rz(-0.1813) q[0]; rz(-0.175) q[2]; rz(-0.175) q[3]; rz(-0.175) q[4]; rz(-0.1562) q[5]; rz(-0.1562) q[6]; rz(-0.1688) q[7]; h q[0]; rz(-0.0878) q[0]; h q[0]; h q[1]; rz(-0.0878) q[1]; h q[1]; h q[2]; rz(-0.0878) q[2]; h q[2]; h q[3]; rz(-0.0878) q[3]; h q[3]; h q[4]; rz(-0.0878) q[4]; h q[4]; h q[5]; rz(-0.0878) q[5]; h q[5]; h q[6]; rz(-0.0878) q[6]; h q[6]; h q[7]; rz(-0.0878) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; input float[64] x8; input float[64] x9; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x0) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x0) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x0) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x0) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x0) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x1) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x1) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x1) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x1) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x1) q[5]; cx q[4], q[5]; cx q[1], q[6]; rz(x1) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x1) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(x1) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x1) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(x1) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(x1) q[6]; cx q[5], q[6]; cx q[1], q[7]; rz(x1) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(x0) q[7]; cx q[0], q[7]; cx q[2], q[7]; rz(x1) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(x1) q[7]; cx q[3], q[7]; cx q[4], q[7]; rz(x1) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(x0) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(x0) q[7]; cx q[6], q[7]; rz(x2) q[1]; rz(x3) q[0]; rz(x2) q[2]; rz(x2) q[3]; rz(x2) q[4]; rz(x4) q[5]; rz(x4) q[6]; rz(x5) q[7]; h q[0]; rz(x6) q[0]; h q[0]; h q[1]; rz(x6) q[1]; h q[1]; h q[2]; rz(x6) q[2]; h q[2]; h q[3]; rz(x6) q[3]; h q[3]; h q[4]; rz(x6) q[4]; h q[4]; h q[5]; rz(x6) q[5]; h q[5]; h q[6]; rz(x6) q[6]; h q[6]; h q[7]; rz(x6) q[7]; h q[7]; cx q[1], q[0]; rz(x7) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x7) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x7) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x7) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x7) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x7) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x7) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x7) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x7) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x7) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x8) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x8) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x8) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x8) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x8) q[5]; cx q[4], q[5]; cx q[1], q[6]; rz(x8) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x8) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(x8) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x8) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(x8) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(x8) q[6]; cx q[5], q[6]; cx q[1], q[7]; rz(x8) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(x7) q[7]; cx q[0], q[7]; cx q[2], q[7]; rz(x8) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(x8) q[7]; cx q[3], q[7]; cx q[4], q[7]; rz(x8) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(x7) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(x7) q[7]; cx q[6], q[7]; rz(x9) q[1]; rz(x10) q[0]; rz(x9) q[2]; rz(x9) q[3]; rz(x9) q[4]; rz(x11) q[5]; rz(x11) q[6]; rz(x12) q[7]; h q[0]; rz(x13) q[0]; h q[0]; h q[1]; rz(x13) q[1]; h q[1]; h q[2]; rz(x13) q[2]; h q[2]; h q[3]; rz(x13) q[3]; h q[3]; h q[4]; rz(x13) q[4]; h q[4]; h q[5]; rz(x13) q[5]; h q[5]; h q[6]; rz(x13) q[6]; h q[6]; h q[7]; rz(x13) q[7]; h q[7]; cx q[1], q[0]; rz(x14) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x14) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x14) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x14) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x14) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x14) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x14) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x14) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x14) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x14) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x15) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x15) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x15) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x15) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x15) q[5]; cx q[4], q[5]; cx q[1], q[6]; rz(x15) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x15) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(x15) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x15) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(x15) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(x15) q[6]; cx q[5], q[6]; cx q[1], q[7]; rz(x15) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(x14) q[7]; cx q[0], q[7]; cx q[2], q[7]; rz(x15) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(x15) q[7]; cx q[3], q[7]; cx q[4], q[7]; rz(x15) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(x14) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(x14) q[7]; cx q[6], q[7]; rz(x16) q[1]; rz(x17) q[0]; rz(x16) q[2]; rz(x16) q[3]; rz(x16) q[4]; rz(x18) q[5]; rz(x18) q[6]; rz(x19) q[7]; h q[0]; rz(x20) q[0]; h q[0]; h q[1]; rz(x20) q[1]; h q[1]; h q[2]; rz(x20) q[2]; h q[2]; h q[3]; rz(x20) q[3]; h q[3]; h q[4]; rz(x20) q[4]; h q[4]; h q[5]; rz(x20) q[5]; h q[5]; h q[6]; rz(x20) q[6]; h q[6]; h q[7]; rz(x20) q[7]; h q[7]; cx q[1], q[0]; rz(x21) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x21) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x21) q[2]; cx q[0], q[2]; cx q[1], q[3]; rz(x21) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x21) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x21) q[3]; cx q[2], q[3]; cx q[1], q[4]; rz(x21) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x21) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x21) q[4]; cx q[2], q[4]; cx q[3], q[4]; rz(x21) q[4]; cx q[3], q[4]; cx q[1], q[5]; rz(x22) q[5]; cx q[1], q[5]; cx q[0], q[5]; rz(x22) q[5]; cx q[0], q[5]; cx q[2], q[5]; rz(x22) q[5]; cx q[2], q[5]; cx q[3], q[5]; rz(x22) q[5]; cx q[3], q[5]; cx q[4], q[5]; rz(x22) q[5]; cx q[4], q[5]; cx q[1], q[6]; rz(x22) q[6]; cx q[1], q[6]; cx q[0], q[6]; rz(x22) q[6]; cx q[0], q[6]; cx q[2], q[6]; rz(x22) q[6]; cx q[2], q[6]; cx q[3], q[6]; rz(x22) q[6]; cx q[3], q[6]; cx q[4], q[6]; rz(x22) q[6]; cx q[4], q[6]; cx q[5], q[6]; rz(x22) q[6]; cx q[5], q[6]; cx q[1], q[7]; rz(x22) q[7]; cx q[1], q[7]; cx q[0], q[7]; rz(x21) q[7]; cx q[0], q[7]; cx q[2], q[7]; rz(x22) q[7]; cx q[2], q[7]; cx q[3], q[7]; rz(x22) q[7]; cx q[3], q[7]; cx q[4], q[7]; rz(x22) q[7]; cx q[4], q[7]; cx q[5], q[7]; rz(x21) q[7]; cx q[5], q[7]; cx q[6], q[7]; rz(x21) q[7]; cx q[6], q[7]; rz(x23) q[1]; rz(x24) q[0]; rz(x23) q[2]; rz(x23) q[3]; rz(x23) q[4]; rz(x25) q[5]; rz(x25) q[6]; rz(x26) q[7]; h q[0]; rz(x27) q[0]; h q[0]; h q[1]; rz(x27) q[1]; h q[1]; h q[2]; rz(x27) q[2]; h q[2]; h q[3]; rz(x27) q[3]; h q[3]; h q[4]; rz(x27) q[4]; h q[4]; h q[5]; rz(x27) q[5]; h q[5]; h q[6]; rz(x27) q[6]; h q[6]; h q[7]; rz(x27) q[7]; h q[7]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"k": 5}
{"circuits": [], "gradients": []}
4c5a23f8c8a34bc9c0e926b6ce68cf56
connected_components
qaoa
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 6, "target": 7}]}
{"states": [124, 127], "expectation_value": -1.9824099301492069, "params": [[-0.0785], [0.0786]], "bitstrings": ["0000011", "0000000"], "total_optimization_steps": 10, "probabilities": [0.014303046136399709, 0.014303046136399709], "optimization_time": 0.5492565631866455}
-2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 1.0 * Z(6) + -1.0 * Z(5)
1
7
1
{"smallest_eigenvalues": [-17.5, -17.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -16.5, "smallest_bitstrings": ["0000000", "0000011"]}
OPENQASM 3.0; include "stdgates.inc"; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(0.3925) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(0.3925) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(0.314) q[2]; cx q[0], q[2]; cx q[1], q[4]; rz(-0.2355) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(0.3925) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(0.3925) q[4]; cx q[2], q[4]; cx q[1], q[3]; rz(0.3925) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(-0.157) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(-0.157) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(0.3925) q[3]; cx q[4], q[3]; cx q[6], q[5]; rz(0.2355) q[5]; cx q[6], q[5]; rz(-0.0785) q[1]; rz(-0.0785) q[0]; rz(-0.0785) q[2]; rz(-0.0785) q[4]; rz(-0.0785) q[3]; rz(-0.157) q[6]; rz(0.157) q[5]; h q[0]; rz(0.1572) q[0]; h q[0]; h q[1]; rz(0.1572) q[1]; h q[1]; h q[2]; rz(0.1572) q[2]; h q[2]; h q[3]; rz(0.1572) q[3]; h q[3]; h q[4]; rz(0.1572) q[4]; h q[4]; h q[5]; rz(0.1572) q[5]; h q[5]; h q[6]; rz(0.1572) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; input float[64] x3; input float[64] x4; input float[64] x5; input float[64] x6; input float[64] x7; bit[7] c; qubit[7] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; cx q[1], q[0]; rz(x0) q[0]; cx q[1], q[0]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[0], q[2]; rz(x1) q[2]; cx q[0], q[2]; cx q[1], q[4]; rz(x2) q[4]; cx q[1], q[4]; cx q[0], q[4]; rz(x0) q[4]; cx q[0], q[4]; cx q[2], q[4]; rz(x0) q[4]; cx q[2], q[4]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[0], q[3]; rz(x3) q[3]; cx q[0], q[3]; cx q[2], q[3]; rz(x3) q[3]; cx q[2], q[3]; cx q[4], q[3]; rz(x0) q[3]; cx q[4], q[3]; cx q[6], q[5]; rz(x4) q[5]; cx q[6], q[5]; rz(x5) q[1]; rz(x5) q[0]; rz(x5) q[2]; rz(x5) q[4]; rz(x5) q[3]; rz(x3) q[6]; rz(x6) q[5]; h q[0]; rz(x7) q[0]; h q[0]; h q[1]; rz(x7) q[1]; h q[1]; h q[2]; rz(x7) q[2]; h q[2]; h q[3]; rz(x7) q[3]; h q[3]; h q[4]; rz(x7) q[4]; h q[4]; h q[5]; rz(x7) q[5]; h q[5]; h q[6]; rz(x7) q[6]; h q[6]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6];
{"node": 5}
{"circuits": [], "gradients": []}
56bf2b9b5079d42e66a4e14293694014
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite": 1, "id": 9}, {"bipartite": 1, "id": 10}, {"bipartite": 1, "id": 11}, {"bipartite": 1, "id": 12}, {"bipartite": 1, "id": 13}, {"bipartite": 1, "id": 14}], "edges": [{"weight": 2, "source": 0, "target": 7}, {"weight": 6, "source": 1, "target": 8}, {"weight": 19, "source": 1, "target": 11}, {"weight": 18, "source": 1, "target": 13}, {"weight": 7, "source": 2, "target": 9}, {"weight": 14, "source": 2, "target": 7}, {"weight": 1, "source": 3, "target": 10}, {"weight": 19, "source": 3, "target": 7}, {"weight": 5, "source": 4, "target": 11}, {"weight": 3, "source": 5, "target": 12}, {"weight": 6, "source": 6, "target": 13}, {"weight": 19, "source": 6, "target": 9}]}
{"states": [1745, 1681], "expectation_value": -65.23018612784095, "params": [0.6618, 0.17600000000000002, 0.9978, 0.0143, 0.9938, 0.0342, 0.7914, 0.2195, 0.9985, 0.0427, 0.7911, 0.22010000000000002, -0.0024000000000000002, 0.6598, 1.0079, 0.0115, -0.0059, 0.518, 0.005, 0.13720000000000002, 0.7903, 0.26130000000000003, 1.002, 0.2028, 0.6634, 0.0035, 0.9963000000000001, 0.0031000000000000003, 0.9948, 0.0098, 0.7922, 0.009600000000000001, 1.0010000000000001, 0.0047, 0.7925000000000001, 0.0018000000000000002, -0.0024000000000000002, 0.004200000000000001, 1.0074, 0.0068000000000000005, -0.0032, 0.0082, -0.0005, 0.0097, 0.79, 0.008, 1.0002, 0.003, 0.0381, 0.0046, 0.008400000000000001, 0.036500000000000005, 0.22210000000000002, 0.009600000000000001, 0.004200000000000001, 0.10020000000000001, 0.22590000000000002, 0.0016, 0.008700000000000001, -0.6342, 0.0131, 0.0011, 0.0027, -0.3173, -0.1192, 0.0037, 0.0064, -0.251, 0.33130000000000004, 0.0015, 0.0068000000000000005, 0.0036000000000000003, 0.0027, 0.0088, 0.0, 0.006900000000000001, 0.0066, 0.0066, 0.0045000000000000005, 0.0091, 0.004, 0.0001, 0.0049, 0.0071, 0.0066, 0.005, 0.0086, 0.0085, 0.0081, 0.0045000000000000005, 0.0063, 0.0081, 0.0007, 0.0009000000000000001, 0.0047, 0.00030000000000000003], "bitstrings": ["100100101110", "100101101110"], "total_optimization_steps": 100, "probabilities": [0.014953286467935551, 0.015038589020083957], "optimization_time": 12.072137832641602}
8.0 * (Z(1) @ Z(3)) + 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(0) @ Z(4)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(7) @ Z(0)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(8) @ Z(1)) + 8.0 * (Z(10) @ Z(2)) + 8.0 * (Z(11) @ Z(5)) + 8.0 * (Z(11) @ Z(10)) + 3.0 * Z(3) + 17.5 * Z(1) + 17.0 * Z(2) + 15.0 * Z(4) + 1.0 * Z(0) + 3.5 * Z(5) + 17.5 * Z(7) + -7.5 * Z(6) + -5.5 * Z(8) + 3.0 * Z(10) + 9.5 * Z(11) + -14.5 * Z(9)
16
12
2
{"smallest_eigenvalues": [-157.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -132.5, "smallest_bitstrings": ["100101101110"]}
OPENQASM 3.0; include "stdgates.inc"; bit[12] c; qubit[12] q; rx(0.6618) q[0]; rz(0.176) q[0]; rx(0.9978) q[1]; rz(0.0143) q[1]; rx(0.9938) q[2]; rz(0.0342) q[2]; rx(0.7914) q[3]; rz(0.2195) q[3]; rx(0.9985) q[4]; rz(0.0427) q[4]; rx(0.7911) q[5]; rz(0.2201) q[5]; rx(-0.0024) q[6]; rz(0.6598) q[6]; rx(1.0079) q[7]; rz(0.0115) q[7]; rx(-0.0059) q[8]; rz(0.518) q[8]; rx(0.005) q[9]; rz(0.1372) q[9]; rx(0.7903) q[10]; rz(0.2613) q[10]; rx(1.002) q[11]; rz(0.2028) q[11]; crz(0.0381) q[1], q[0]; crz(0.2221) q[3], q[2]; crz(0.2259) q[5], q[4]; crz(0.0131) q[7], q[6]; crz(-0.1192) q[9], q[8]; crz(0.3313) q[11], q[10]; crz(0.0365) q[2], q[1]; crz(0.1002) q[4], q[3]; crz(-0.6342) q[6], q[5]; crz(-0.3173) q[8], q[7]; crz(-0.251) q[10], q[9]; rx(0.6634) q[0]; rz(0.0035) q[0]; rx(0.9963) q[1]; rz(0.0031) q[1]; rx(0.9948) q[2]; rz(0.0098) q[2]; rx(0.7922) q[3]; rz(0.0096) q[3]; rx(1.001) q[4]; rz(0.0047) q[4]; rx(0.7925) q[5]; rz(0.0018) q[5]; rx(-0.0024) q[6]; rz(0.0042) q[6]; rx(1.0074) q[7]; rz(0.0068) q[7]; rx(-0.0032) q[8]; rz(0.0082) q[8]; rx(-0.0005) q[9]; rz(0.0097) q[9]; rx(0.79) q[10]; rz(0.008) q[10]; rx(1.0002) q[11]; rz(0.003) q[11]; crz(0.0027) q[1], q[0]; crz(0.0066) q[3], q[2]; crz(0.004) q[5], q[4]; crz(0.0066) q[7], q[6]; crz(0.0081) q[9], q[8]; crz(0.0007) q[11], q[10]; crz(0.0069) q[2], q[1]; crz(0.0091) q[4], q[3]; crz(0.0071) q[6], q[5]; crz(0.0085) q[8], q[7]; crz(0.0081) q[10], q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x7; input float[64] x8; input float[64] x9; bit[12] c; qubit[12] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; rx(x18) q[9]; rz(x19) q[9]; rx(x20) q[10]; rz(x21) q[10]; rx(x22) q[11]; rz(x23) q[11]; crz(x24) q[1], q[0]; crz(x25) q[3], q[2]; crz(x26) q[5], q[4]; crz(x27) q[7], q[6]; crz(x28) q[9], q[8]; crz(x29) q[11], q[10]; crz(x30) q[2], q[1]; crz(x31) q[4], q[3]; crz(x32) q[6], q[5]; crz(x33) q[8], q[7]; crz(x34) q[10], q[9]; rx(x35) q[0]; rz(x36) q[0]; rx(x37) q[1]; rz(x38) q[1]; rx(x39) q[2]; rz(x40) q[2]; rx(x41) q[3]; rz(x42) q[3]; rx(x43) q[4]; rz(x44) q[4]; rx(x45) q[5]; rz(x46) q[5]; rx(x12) q[6]; rz(x47) q[6]; rx(x48) q[7]; rz(x49) q[7]; rx(x50) q[8]; rz(x51) q[8]; rx(x52) q[9]; rz(x53) q[9]; rx(x54) q[10]; rz(x55) q[10]; rx(x56) q[11]; rz(x57) q[11]; crz(x58) q[1], q[0]; crz(x59) q[3], q[2]; crz(x60) q[5], q[4]; crz(x59) q[7], q[6]; crz(x61) q[9], q[8]; crz(x62) q[11], q[10]; crz(x63) q[2], q[1]; crz(x64) q[4], q[3]; crz(x65) q[6], q[5]; crz(x66) q[8], q[7]; crz(x61) q[10], q[9]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8]; c[9] = measure q[9]; c[10] = measure q[10]; c[11] = measure q[11];
{"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"}
{"circuits": [], "gradients": []}
a20be77afa1a8b9b75f27972fb6e9517
min_cut
vqe
{"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 7, "source": 1, "target": 6}, {"capacity": 5, "source": 1, "target": 7}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 7, "source": 2, "target": 3}, {"capacity": 7, "source": 3, "target": 2}, {"capacity": 1, "source": 3, "target": 6}, {"capacity": 2, "source": 4, "target": 1}, {"capacity": 3, "source": 4, "target": 2}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 1, "source": 5, "target": 2}, {"capacity": 4, "source": 6, "target": 7}]}
{"states": [73, 75], "expectation_value": -16.656036797726205, "params": [-0.0088, 0.9593, 0.7847000000000001, 0.0068000000000000005, 0.0037, 0.8875000000000001, 0.0024000000000000002, 0.9078, 0.7891, 0.1826, -0.0008, 0.6888000000000001, 0.5307000000000001, 0.47140000000000004, 0.7928000000000001, 0.0074, 0.0048000000000000004, 1.1421000000000001, 0.7871, 0.0094, 0.003, 1.1414, 0.0032, 0.4375, 0.7878000000000001, 0.2546, 0.0031000000000000003, 1.1124, 0.5259, 1.209, 0.8019000000000001, 0.008700000000000001, 0.0046, 0.9564, 0.7924, 0.007200000000000001, 0.0024000000000000002, 1.1205, -0.0034000000000000002, 0.8104, 0.7906000000000001, 0.28450000000000003, 0.004200000000000001, 1.1203, -0.5256000000000001, 0.5519000000000001, 0.7783, 0.0029000000000000002, -0.008, 0.0083, 0.7832, 0.008700000000000001, 0.0039000000000000003, 0.0092, -0.0025, 0.005200000000000001, 0.7862, 0.0054, 0.002, 0.0067, -0.519, 0.008400000000000001, 0.7773, 0.0095, -0.0005, -0.8812000000000001, -0.9051, 0.3632, -0.6584, -0.46790000000000004, -0.0999, 0.0137, -0.5656, -0.4354, 0.5033, -0.5984, -1.2036, 0.2366, 0.018500000000000003, -0.3911, -0.7986000000000001, 0.5549000000000001, 0.1039, -0.5353, -0.19210000000000002, 0.0068000000000000005, 0.0019, 0.0076, 0.0098, 0.0015, 0.0016, 0.0011], "bitstrings": ["10110110", "10110100"], "total_optimization_steps": 180, "probabilities": [0.33865878751721923, 0.6608482356456344], "optimization_time": 49.32745385169983}
-1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + 3.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -1.75 * (Z(1) @ Z(6)) + -1.25 * (Z(1) @ Z(7)) + -3.5 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + -0.75 * Z(5) + -1.5 * Z(6) + 1.25 * Z(7) + 1.5 * Z(1) + -0.5 * Z(2) + 1.25 * Z(4)
3
8
4
{"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["10110100"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; rx(-0.0088) q[0]; rz(0.9593) q[0]; rx(0.7847) q[1]; rz(0.0068) q[1]; rx(0.0037) q[2]; rz(0.8875) q[2]; rx(0.0024) q[3]; rz(0.9078) q[3]; rx(0.7891) q[4]; rz(0.1826) q[4]; rx(-0.0008) q[5]; rz(0.6888) q[5]; rx(0.5307) q[6]; rz(0.4714) q[6]; rx(0.7928) q[7]; rz(0.0074) q[7]; crz(-0.0999) q[7], q[6]; crz(-0.4679) q[6], q[5]; crz(-0.6584) q[5], q[4]; crz(0.3632) q[4], q[3]; crz(-0.9051) q[3], q[2]; crz(-0.8812) q[2], q[1]; crz(-0.0005) q[1], q[0]; rx(0.0048) q[0]; rz(1.1421) q[0]; rx(0.7871) q[1]; rz(0.0094) q[1]; rx(0.003) q[2]; rz(1.1414) q[2]; rx(0.0032) q[3]; rz(0.4375) q[3]; rx(0.7878) q[4]; rz(0.2546) q[4]; rx(0.0031) q[5]; rz(1.1124) q[5]; rx(0.5259) q[6]; rz(1.209) q[6]; rx(0.8019) q[7]; rz(0.0087) q[7]; crz(0.2366) q[7], q[6]; crz(-1.2036) q[6], q[5]; crz(-0.5984) q[5], q[4]; crz(0.5033) q[4], q[3]; crz(-0.4354) q[3], q[2]; crz(-0.5656) q[2], q[1]; crz(0.0137) q[1], q[0]; rx(0.0046) q[0]; rz(0.9564) q[0]; rx(0.7924) q[1]; rz(0.0072) q[1]; rx(0.0024) q[2]; rz(1.1205) q[2]; rx(-0.0034) q[3]; rz(0.8104) q[3]; rx(0.7906) q[4]; rz(0.2845) q[4]; rx(0.0042) q[5]; rz(1.1203) q[5]; rx(-0.5256) q[6]; rz(0.5519) q[6]; rx(0.7783) q[7]; rz(0.0029) q[7]; crz(-0.1921) q[7], q[6]; crz(-0.5353) q[6], q[5]; crz(0.1039) q[5], q[4]; crz(0.5549) q[4], q[3]; crz(-0.7986) q[3], q[2]; crz(-0.3911) q[2], q[1]; crz(0.0185) q[1], q[0]; rx(-0.008) q[0]; rz(0.0083) q[0]; rx(0.7832) q[1]; rz(0.0087) q[1]; rx(0.0039) q[2]; rz(0.0092) q[2]; rx(-0.0025) q[3]; rz(0.0052) q[3]; rx(0.7862) q[4]; rz(0.0054) q[4]; rx(0.002) q[5]; rz(0.0067) q[5]; rx(-0.519) q[6]; rz(0.0084) q[6]; rx(0.7773) q[7]; rz(0.0095) q[7]; crz(0.0011) q[7], q[6]; crz(0.0016) q[6], q[5]; crz(0.0015) q[5], q[4]; crz(0.0098) q[4], q[3]; crz(0.0076) q[3], q[2]; crz(0.0019) q[2], q[1]; crz(0.0068) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x11; input float[64] x12; input float[64] x13; input float[64] x14; input float[64] x15; input float[64] x16; input float[64] x17; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x9; bit[8] c; qubit[8] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; crz(x16) q[7], q[6]; crz(x17) q[6], q[5]; crz(x18) q[5], q[4]; crz(x19) q[4], q[3]; crz(x20) q[3], q[2]; crz(x21) q[2], q[1]; crz(x22) q[1], q[0]; rx(x23) q[0]; rz(x24) q[0]; rx(x25) q[1]; rz(x26) q[1]; rx(x27) q[2]; rz(x28) q[2]; rx(x29) q[3]; rz(x30) q[3]; rx(x31) q[4]; rz(x32) q[4]; rx(x33) q[5]; rz(x34) q[5]; rx(x35) q[6]; rz(x36) q[6]; rx(x37) q[7]; rz(x38) q[7]; crz(x39) q[7], q[6]; crz(x40) q[6], q[5]; crz(x41) q[5], q[4]; crz(x42) q[4], q[3]; crz(x43) q[3], q[2]; crz(x44) q[2], q[1]; crz(x45) q[1], q[0]; rx(x46) q[0]; rz(x47) q[0]; rx(x48) q[1]; rz(x49) q[1]; rx(x6) q[2]; rz(x50) q[2]; rx(x51) q[3]; rz(x52) q[3]; rx(x53) q[4]; rz(x54) q[4]; rx(x55) q[5]; rz(x56) q[5]; rx(x57) q[6]; rz(x58) q[6]; rx(x59) q[7]; rz(x60) q[7]; crz(x61) q[7], q[6]; crz(x62) q[6], q[5]; crz(x63) q[5], q[4]; crz(x64) q[4], q[3]; crz(x65) q[3], q[2]; crz(x66) q[2], q[1]; crz(x67) q[1], q[0]; rx(x68) q[0]; rz(x69) q[0]; rx(x70) q[1]; rz(x38) q[1]; rx(x71) q[2]; rz(x72) q[2]; rx(x73) q[3]; rz(x74) q[3]; rx(x75) q[4]; rz(x76) q[4]; rx(x77) q[5]; rz(x78) q[5]; rx(x79) q[6]; rz(x80) q[6]; rx(x81) q[7]; rz(x82) q[7]; crz(x83) q[7], q[6]; crz(x84) q[6], q[5]; crz(x85) q[5], q[4]; crz(x86) q[4], q[3]; crz(x87) q[3], q[2]; crz(x88) q[2], q[1]; crz(x3) q[1], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
{"source": 0, "sink": 7}
{"circuits": [], "gradients": []}
712b030d217f3cf9b2b341027ce3b496
matching
vqe
{"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 14, "source": 1, "target": 6}, {"weight": 3, "source": 2, "target": 3}, {"weight": 14, "source": 2, "target": 4}, {"weight": 16, "source": 3, "target": 6}, {"weight": 1, "source": 4, "target": 5}, {"weight": 11, "source": 5, "target": 7}, {"weight": 10, "source": 6, "target": 7}]}
{"states": [219, 218], "expectation_value": -71.03949686819102, "params": [0.06380000000000001, -0.201, 0.07400000000000001, -0.2102, 0.44370000000000004, -0.0068000000000000005, 0.4751, -0.0068000000000000005, 0.4242, -0.014100000000000001, 0.4635, -0.0102, -0.0019, 0.2015, -0.0071, 0.2051, 0.45330000000000004, -0.029300000000000003, 0.4736, -0.014, 0.4505, -0.037000000000000005, 0.4617, -0.0247, 0.027800000000000002, 0.222, 0.0017000000000000001, 0.221, 0.4375, -0.054, 0.4454, -0.0176, 0.1666, 0.17250000000000001, 0.1565, 0.1693, 0.0671, -0.2028, 0.06720000000000001, -0.2104, 0.47650000000000003, 0.0007, 0.4358, -0.005200000000000001, 0.4685, 0.0013000000000000002, 0.43870000000000003, -0.0026000000000000003, -0.0123, 0.20750000000000002, -0.016900000000000002, 0.2053, 0.4762, -0.0006000000000000001, 0.4217, -0.0022, 0.46340000000000003, -0.015600000000000001, 0.4338, -0.0056, 0.004, 0.2235, -0.0086, 0.2215, 0.4465, 0.0018000000000000002, 0.42660000000000003, -0.006, 0.163, 0.17170000000000002, 0.1529, 0.17650000000000002, 0.06570000000000001, -0.2054, 0.0718, -0.2184, 0.4324, 0.0013000000000000002, 0.301, -0.0028, 0.4385, 0.0051, 0.30670000000000003, -0.0005, -0.0105, 0.2061, -0.008, 0.19010000000000002, 0.42410000000000003, 0.0056, 0.3125, -0.0054, 0.4393, -0.0025, 0.2993, -0.0188, -0.005, 0.2217, -0.0184, 0.2114, 0.4219, -0.0118, 0.3416, -0.0287, 0.15230000000000002, 0.1839, 0.1584, 0.1806, 0.078, -0.2257, 0.2679, 0.0076, 0.2949, 0.0037, 0.2938, 0.003, 0.308, 0.0041, 0.2993, 0.006500000000000001, -0.013000000000000001, 0.1731, 0.0236, 0.0001, 0.3062, -0.0091, 0.29810000000000003, 0.0089, 0.301, -0.027700000000000002, 0.2968, 0.0051, -0.0313, 0.1917, 0.0258, 0.0099, 0.33840000000000003, -0.0688, 0.29710000000000003, 0.0088, 0.15330000000000002, 0.2147, 0.3166, 0.0014, -0.17070000000000002, -0.1228, -0.1396, -0.0034000000000000002, -0.10650000000000001, -0.1567, -0.0129, -0.1278, 0.0449, -0.19210000000000002, 0.028200000000000003, -0.0002, 0.1047, -0.007200000000000001, -0.0235, 0.0834, -0.035, 0.1784, -0.2087, 0.004, 0.0178, 0.15560000000000002, 0.038700000000000005, 0.0443, 0.12340000000000001, 0.0458, 0.2124, -0.2384, 0.0201, 0.0211, 0.17700000000000002, 0.0292, 0.0328, 0.12090000000000001, 0.051800000000000006, 0.2174], "bitstrings": ["100100100", "100100101"], "total_optimization_steps": 50, "probabilities": [0.027526920317024414, 0.9497879555689914], "optimization_time": 223.4631688594818}
5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 10.5 * Z(1) + 4.0 * Z(0) + 12.0 * Z(2) + 7.0 * Z(4) + 1.5 * Z(3) + 13.0 * Z(5) + 0.5 * Z(6) + 10.5 * Z(7) + 15.0 * Z(8)
5
9
4
{"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["100100101"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; rx(0.0638) q[0]; rz(-0.201) q[0]; rx(0.4437) q[1]; rz(-0.0068) q[1]; rx(0.4242) q[2]; rz(-0.0141) q[2]; rx(-0.0019) q[3]; rz(0.2015) q[3]; rx(0.4533) q[4]; rz(-0.0293) q[4]; rx(0.4505) q[5]; rz(-0.037) q[5]; rx(0.0278) q[6]; rz(0.222) q[6]; rx(0.4375) q[7]; rz(-0.054) q[7]; rx(0.1666) q[8]; rz(0.1725) q[8]; crz(-0.1278) q[8], q[7]; crz(-0.0129) q[8], q[6]; crz(-0.1567) q[8], q[5]; crz(-0.1065) q[8], q[4]; crz(-0.0034) q[8], q[3]; crz(-0.1396) q[8], q[2]; crz(-0.1228) q[8], q[1]; crz(-0.1707) q[8], q[0]; crz(0.0449) q[7], q[8]; crz(-0.0129) q[7], q[6]; crz(-0.1567) q[7], q[5]; crz(-0.1065) q[7], q[4]; crz(-0.0034) q[7], q[3]; crz(-0.1396) q[7], q[2]; crz(-0.1228) q[7], q[1]; crz(-0.1707) q[7], q[0]; crz(0.0449) q[6], q[8]; crz(-0.1278) q[6], q[7]; crz(-0.1567) q[6], q[5]; crz(-0.1065) q[6], q[4]; crz(-0.0034) q[6], q[3]; crz(-0.1396) q[6], q[2]; crz(-0.1228) q[6], q[1]; crz(-0.1707) q[6], q[0]; crz(0.0449) q[5], q[8]; crz(-0.1278) q[5], q[7]; crz(-0.0129) q[5], q[6]; crz(-0.1065) q[5], q[4]; crz(-0.0034) q[5], q[3]; crz(-0.1396) q[5], q[2]; crz(-0.1228) q[5], q[1]; crz(-0.1707) q[5], q[0]; crz(0.0449) q[4], q[8]; crz(-0.1278) q[4], q[7]; crz(-0.0129) q[4], q[6]; crz(-0.1567) q[4], q[5]; crz(-0.0034) q[4], q[3]; crz(-0.1396) q[4], q[2]; crz(-0.1228) q[4], q[1]; crz(-0.1707) q[4], q[0]; crz(0.0449) q[3], q[8]; crz(-0.1278) q[3], q[7]; crz(-0.0129) q[3], q[6]; crz(-0.1567) q[3], q[5]; crz(-0.1065) q[3], q[4]; crz(-0.1396) q[3], q[2]; crz(-0.1228) q[3], q[1]; crz(-0.1707) q[3], q[0]; crz(0.0449) q[2], q[8]; crz(-0.1278) q[2], q[7]; crz(-0.0129) q[2], q[6]; crz(-0.1567) q[2], q[5]; crz(-0.1065) q[2], q[4]; crz(-0.0034) q[2], q[3]; crz(-0.1228) q[2], q[1]; crz(-0.1707) q[2], q[0]; crz(0.0449) q[1], q[8]; crz(-0.1278) q[1], q[7]; crz(-0.0129) q[1], q[6]; crz(-0.1567) q[1], q[5]; crz(-0.1065) q[1], q[4]; crz(-0.0034) q[1], q[3]; crz(-0.1396) q[1], q[2]; crz(-0.1707) q[1], q[0]; crz(0.0449) q[0], q[8]; crz(-0.1278) q[0], q[7]; crz(-0.0129) q[0], q[6]; crz(-0.1567) q[0], q[5]; crz(-0.1065) q[0], q[4]; crz(-0.0034) q[0], q[3]; crz(-0.1396) q[0], q[2]; crz(-0.1228) q[0], q[1]; rx(0.074) q[0]; rz(-0.2102) q[0]; rx(0.4751) q[1]; rz(-0.0068) q[1]; rx(0.4635) q[2]; rz(-0.0102) q[2]; rx(-0.0071) q[3]; rz(0.2051) q[3]; rx(0.4736) q[4]; rz(-0.014) q[4]; rx(0.4617) q[5]; rz(-0.0247) q[5]; rx(0.0017) q[6]; rz(0.221) q[6]; rx(0.4454) q[7]; rz(-0.0176) q[7]; rx(0.1565) q[8]; rz(0.1693) q[8]; rx(0.0671) q[0]; rz(-0.2028) q[0]; rx(0.4765) q[1]; rz(0.0007) q[1]; rx(0.4685) q[2]; rz(0.0013) q[2]; rx(-0.0123) q[3]; rz(0.2075) q[3]; rx(0.4762) q[4]; rz(-0.0006) q[4]; rx(0.4634) q[5]; rz(-0.0156) q[5]; rx(0.004) q[6]; rz(0.2235) q[6]; rx(0.4465) q[7]; rz(0.0018) q[7]; rx(0.163) q[8]; rz(0.1717) q[8]; crz(-0.035) q[8], q[7]; crz(0.0834) q[8], q[6]; crz(-0.0235) q[8], q[5]; crz(-0.0072) q[8], q[4]; crz(0.1047) q[8], q[3]; crz(-0.0002) q[8], q[2]; crz(0.0282) q[8], q[1]; crz(-0.1921) q[8], q[0]; crz(0.1784) q[7], q[8]; crz(0.0834) q[7], q[6]; crz(-0.0235) q[7], q[5]; crz(-0.0072) q[7], q[4]; crz(0.1047) q[7], q[3]; crz(-0.0002) q[7], q[2]; crz(0.0282) q[7], q[1]; crz(-0.1921) q[7], q[0]; crz(0.1784) q[6], q[8]; crz(-0.035) q[6], q[7]; crz(-0.0235) q[6], q[5]; crz(-0.0072) q[6], q[4]; crz(0.1047) q[6], q[3]; crz(-0.0002) q[6], q[2]; crz(0.0282) q[6], q[1]; crz(-0.1921) q[6], q[0]; crz(0.1784) q[5], q[8]; crz(-0.035) q[5], q[7]; crz(0.0834) q[5], q[6]; crz(-0.0072) q[5], q[4]; crz(0.1047) q[5], q[3]; crz(-0.0002) q[5], q[2]; crz(0.0282) q[5], q[1]; crz(-0.1921) q[5], q[0]; crz(0.1784) q[4], q[8]; crz(-0.035) q[4], q[7]; crz(0.0834) q[4], q[6]; crz(-0.0235) q[4], q[5]; crz(0.1047) q[4], q[3]; crz(-0.0002) q[4], q[2]; crz(0.0282) q[4], q[1]; crz(-0.1921) q[4], q[0]; crz(0.1784) q[3], q[8]; crz(-0.035) q[3], q[7]; crz(0.0834) q[3], q[6]; crz(-0.0235) q[3], q[5]; crz(-0.0072) q[3], q[4]; crz(-0.0002) q[3], q[2]; crz(0.0282) q[3], q[1]; crz(-0.1921) q[3], q[0]; crz(0.1784) q[2], q[8]; crz(-0.035) q[2], q[7]; crz(0.0834) q[2], q[6]; crz(-0.0235) q[2], q[5]; crz(-0.0072) q[2], q[4]; crz(0.1047) q[2], q[3]; crz(0.0282) q[2], q[1]; crz(-0.1921) q[2], q[0]; crz(0.1784) q[1], q[8]; crz(-0.035) q[1], q[7]; crz(0.0834) q[1], q[6]; crz(-0.0235) q[1], q[5]; crz(-0.0072) q[1], q[4]; crz(0.1047) q[1], q[3]; crz(-0.0002) q[1], q[2]; crz(-0.1921) q[1], q[0]; crz(0.1784) q[0], q[8]; crz(-0.035) q[0], q[7]; crz(0.0834) q[0], q[6]; crz(-0.0235) q[0], q[5]; crz(-0.0072) q[0], q[4]; crz(0.1047) q[0], q[3]; crz(-0.0002) q[0], q[2]; crz(0.0282) q[0], q[1]; rx(0.0672) q[0]; rz(-0.2104) q[0]; rx(0.4358) q[1]; rz(-0.0052) q[1]; rx(0.4387) q[2]; rz(-0.0026) q[2]; rx(-0.0169) q[3]; rz(0.2053) q[3]; rx(0.4217) q[4]; rz(-0.0022) q[4]; rx(0.4338) q[5]; rz(-0.0056) q[5]; rx(-0.0086) q[6]; rz(0.2215) q[6]; rx(0.4266) q[7]; rz(-0.006) q[7]; rx(0.1529) q[8]; rz(0.1765) q[8]; rx(0.0657) q[0]; rz(-0.2054) q[0]; rx(0.4324) q[1]; rz(0.0013) q[1]; rx(0.4385) q[2]; rz(0.0051) q[2]; rx(-0.0105) q[3]; rz(0.2061) q[3]; rx(0.4241) q[4]; rz(0.0056) q[4]; rx(0.4393) q[5]; rz(-0.0025) q[5]; rx(-0.005) q[6]; rz(0.2217) q[6]; rx(0.4219) q[7]; rz(-0.0118) q[7]; rx(0.1523) q[8]; rz(0.1839) q[8]; crz(0.0458) q[8], q[7]; crz(0.1234) q[8], q[6]; crz(0.0443) q[8], q[5]; crz(0.0387) q[8], q[4]; crz(0.1556) q[8], q[3]; crz(0.0178) q[8], q[2]; crz(0.004) q[8], q[1]; crz(-0.2087) q[8], q[0]; crz(0.2124) q[7], q[8]; crz(0.1234) q[7], q[6]; crz(0.0443) q[7], q[5]; crz(0.0387) q[7], q[4]; crz(0.1556) q[7], q[3]; crz(0.0178) q[7], q[2]; crz(0.004) q[7], q[1]; crz(-0.2087) q[7], q[0]; crz(0.2124) q[6], q[8]; crz(0.0458) q[6], q[7]; crz(0.0443) q[6], q[5]; crz(0.0387) q[6], q[4]; crz(0.1556) q[6], q[3]; crz(0.0178) q[6], q[2]; crz(0.004) q[6], q[1]; crz(-0.2087) q[6], q[0]; crz(0.2124) q[5], q[8]; crz(0.0458) q[5], q[7]; crz(0.1234) q[5], q[6]; crz(0.0387) q[5], q[4]; crz(0.1556) q[5], q[3]; crz(0.0178) q[5], q[2]; crz(0.004) q[5], q[1]; crz(-0.2087) q[5], q[0]; crz(0.2124) q[4], q[8]; crz(0.0458) q[4], q[7]; crz(0.1234) q[4], q[6]; crz(0.0443) q[4], q[5]; crz(0.1556) q[4], q[3]; crz(0.0178) q[4], q[2]; crz(0.004) q[4], q[1]; crz(-0.2087) q[4], q[0]; crz(0.2124) q[3], q[8]; crz(0.0458) q[3], q[7]; crz(0.1234) q[3], q[6]; crz(0.0443) q[3], q[5]; crz(0.0387) q[3], q[4]; crz(0.0178) q[3], q[2]; crz(0.004) q[3], q[1]; crz(-0.2087) q[3], q[0]; crz(0.2124) q[2], q[8]; crz(0.0458) q[2], q[7]; crz(0.1234) q[2], q[6]; crz(0.0443) q[2], q[5]; crz(0.0387) q[2], q[4]; crz(0.1556) q[2], q[3]; crz(0.004) q[2], q[1]; crz(-0.2087) q[2], q[0]; crz(0.2124) q[1], q[8]; crz(0.0458) q[1], q[7]; crz(0.1234) q[1], q[6]; crz(0.0443) q[1], q[5]; crz(0.0387) q[1], q[4]; crz(0.1556) q[1], q[3]; crz(0.0178) q[1], q[2]; crz(-0.2087) q[1], q[0]; crz(0.2124) q[0], q[8]; crz(0.0458) q[0], q[7]; crz(0.1234) q[0], q[6]; crz(0.0443) q[0], q[5]; crz(0.0387) q[0], q[4]; crz(0.1556) q[0], q[3]; crz(0.0178) q[0], q[2]; crz(0.004) q[0], q[1]; rx(0.0718) q[0]; rz(-0.2184) q[0]; rx(0.301) q[1]; rz(-0.0028) q[1]; rx(0.3067) q[2]; rz(-0.0005) q[2]; rx(-0.008) q[3]; rz(0.1901) q[3]; rx(0.3125) q[4]; rz(-0.0054) q[4]; rx(0.2993) q[5]; rz(-0.0188) q[5]; rx(-0.0184) q[6]; rz(0.2114) q[6]; rx(0.3416) q[7]; rz(-0.0287) q[7]; rx(0.1584) q[8]; rz(0.1806) q[8]; rx(0.078) q[0]; rz(-0.2257) q[0]; rx(0.2949) q[1]; rz(0.0037) q[1]; rx(0.308) q[2]; rz(0.0041) q[2]; rx(-0.013) q[3]; rz(0.1731) q[3]; rx(0.3062) q[4]; rz(-0.0091) q[4]; rx(0.301) q[5]; rz(-0.0277) q[5]; rx(-0.0313) q[6]; rz(0.1917) q[6]; rx(0.3384) q[7]; rz(-0.0688) q[7]; rx(0.1533) q[8]; rz(0.2147) q[8]; crz(0.0518) q[8], q[7]; crz(0.1209) q[8], q[6]; crz(0.0328) q[8], q[5]; crz(0.0292) q[8], q[4]; crz(0.177) q[8], q[3]; crz(0.0211) q[8], q[2]; crz(0.0201) q[8], q[1]; crz(-0.2384) q[8], q[0]; crz(0.2174) q[7], q[8]; crz(0.1209) q[7], q[6]; crz(0.0328) q[7], q[5]; crz(0.0292) q[7], q[4]; crz(0.177) q[7], q[3]; crz(0.0211) q[7], q[2]; crz(0.0201) q[7], q[1]; crz(-0.2384) q[7], q[0]; crz(0.2174) q[6], q[8]; crz(0.0518) q[6], q[7]; crz(0.0328) q[6], q[5]; crz(0.0292) q[6], q[4]; crz(0.177) q[6], q[3]; crz(0.0211) q[6], q[2]; crz(0.0201) q[6], q[1]; crz(-0.2384) q[6], q[0]; crz(0.2174) q[5], q[8]; crz(0.0518) q[5], q[7]; crz(0.1209) q[5], q[6]; crz(0.0292) q[5], q[4]; crz(0.177) q[5], q[3]; crz(0.0211) q[5], q[2]; crz(0.0201) q[5], q[1]; crz(-0.2384) q[5], q[0]; crz(0.2174) q[4], q[8]; crz(0.0518) q[4], q[7]; crz(0.1209) q[4], q[6]; crz(0.0328) q[4], q[5]; crz(0.177) q[4], q[3]; crz(0.0211) q[4], q[2]; crz(0.0201) q[4], q[1]; crz(-0.2384) q[4], q[0]; crz(0.2174) q[3], q[8]; crz(0.0518) q[3], q[7]; crz(0.1209) q[3], q[6]; crz(0.0328) q[3], q[5]; crz(0.0292) q[3], q[4]; crz(0.0211) q[3], q[2]; crz(0.0201) q[3], q[1]; crz(-0.2384) q[3], q[0]; crz(0.2174) q[2], q[8]; crz(0.0518) q[2], q[7]; crz(0.1209) q[2], q[6]; crz(0.0328) q[2], q[5]; crz(0.0292) q[2], q[4]; crz(0.177) q[2], q[3]; crz(0.0201) q[2], q[1]; crz(-0.2384) q[2], q[0]; crz(0.2174) q[1], q[8]; crz(0.0518) q[1], q[7]; crz(0.1209) q[1], q[6]; crz(0.0328) q[1], q[5]; crz(0.0292) q[1], q[4]; crz(0.177) q[1], q[3]; crz(0.0211) q[1], q[2]; crz(-0.2384) q[1], q[0]; crz(0.2174) q[0], q[8]; crz(0.0518) q[0], q[7]; crz(0.1209) q[0], q[6]; crz(0.0328) q[0], q[5]; crz(0.0292) q[0], q[4]; crz(0.177) q[0], q[3]; crz(0.0211) q[0], q[2]; crz(0.0201) q[0], q[1]; rx(0.2679) q[0]; rz(0.0076) q[0]; rx(0.2938) q[1]; rz(0.003) q[1]; rx(0.2993) q[2]; rz(0.0065) q[2]; rx(0.0236) q[3]; rz(0.0001) q[3]; rx(0.2981) q[4]; rz(0.0089) q[4]; rx(0.2968) q[5]; rz(0.0051) q[5]; rx(0.0258) q[6]; rz(0.0099) q[6]; rx(0.2971) q[7]; rz(0.0088) q[7]; rx(0.3166) q[8]; rz(0.0014) q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x10; input float[64] x100; input float[64] x101; input float[64] x102; input float[64] x103; input float[64] x104; input float[64] x105; input float[64] x106; input float[64] x107; input float[64] x108; input float[64] x109; input float[64] x11; input float[64] x110; input float[64] x111; input float[64] x112; input float[64] x113; input float[64] x114; input float[64] x115; input float[64] x116; input float[64] x117; input float[64] x118; input float[64] x119; input float[64] x12; input float[64] x120; input float[64] x121; input float[64] x122; input float[64] x123; input float[64] x124; input float[64] x125; input float[64] x126; input float[64] x127; input float[64] x128; input float[64] x129; input float[64] x13; input float[64] x130; input float[64] x131; input float[64] x132; input float[64] x133; input float[64] x134; input float[64] x135; input float[64] x136; input float[64] x137; input float[64] x138; input float[64] x139; input float[64] x14; input float[64] x140; input float[64] x141; input float[64] x142; input float[64] x143; input float[64] x144; input float[64] x145; input float[64] x146; input float[64] x147; input float[64] x148; input float[64] x149; input float[64] x15; input float[64] x150; input float[64] x151; input float[64] x152; input float[64] x153; input float[64] x154; input float[64] x155; input float[64] x156; input float[64] x157; input float[64] x158; input float[64] x159; input float[64] x16; input float[64] x160; input float[64] x161; input float[64] x162; input float[64] x163; input float[64] x164; input float[64] x165; input float[64] x166; input float[64] x167; input float[64] x168; input float[64] x169; input float[64] x17; input float[64] x170; input float[64] x171; input float[64] x172; input float[64] x173; input float[64] x18; input float[64] x19; input float[64] x2; input float[64] x20; input float[64] x21; input float[64] x22; input float[64] x23; input float[64] x24; input float[64] x25; input float[64] x26; input float[64] x27; input float[64] x28; input float[64] x29; input float[64] x3; input float[64] x30; input float[64] x31; input float[64] x32; input float[64] x33; input float[64] x34; input float[64] x35; input float[64] x36; input float[64] x37; input float[64] x38; input float[64] x39; input float[64] x4; input float[64] x40; input float[64] x41; input float[64] x42; input float[64] x43; input float[64] x44; input float[64] x45; input float[64] x46; input float[64] x47; input float[64] x48; input float[64] x49; input float[64] x5; input float[64] x50; input float[64] x51; input float[64] x52; input float[64] x53; input float[64] x54; input float[64] x55; input float[64] x56; input float[64] x57; input float[64] x58; input float[64] x59; input float[64] x6; input float[64] x60; input float[64] x61; input float[64] x62; input float[64] x63; input float[64] x64; input float[64] x65; input float[64] x66; input float[64] x67; input float[64] x68; input float[64] x69; input float[64] x7; input float[64] x70; input float[64] x71; input float[64] x72; input float[64] x73; input float[64] x74; input float[64] x75; input float[64] x76; input float[64] x77; input float[64] x78; input float[64] x79; input float[64] x8; input float[64] x80; input float[64] x81; input float[64] x82; input float[64] x83; input float[64] x84; input float[64] x85; input float[64] x86; input float[64] x87; input float[64] x88; input float[64] x89; input float[64] x9; input float[64] x90; input float[64] x91; input float[64] x92; input float[64] x93; input float[64] x94; input float[64] x95; input float[64] x96; input float[64] x97; input float[64] x98; input float[64] x99; bit[9] c; qubit[9] q; rx(x0) q[0]; rz(x1) q[0]; rx(x2) q[1]; rz(x3) q[1]; rx(x4) q[2]; rz(x5) q[2]; rx(x6) q[3]; rz(x7) q[3]; rx(x8) q[4]; rz(x9) q[4]; rx(x10) q[5]; rz(x11) q[5]; rx(x12) q[6]; rz(x13) q[6]; rx(x14) q[7]; rz(x15) q[7]; rx(x16) q[8]; rz(x17) q[8]; crz(x18) q[8], q[7]; crz(x19) q[8], q[6]; crz(x20) q[8], q[5]; crz(x21) q[8], q[4]; crz(x22) q[8], q[3]; crz(x23) q[8], q[2]; crz(x24) q[8], q[1]; crz(x25) q[8], q[0]; crz(x26) q[7], q[8]; crz(x19) q[7], q[6]; crz(x20) q[7], q[5]; crz(x21) q[7], q[4]; crz(x22) q[7], q[3]; crz(x23) q[7], q[2]; crz(x24) q[7], q[1]; crz(x25) q[7], q[0]; crz(x26) q[6], q[8]; crz(x18) q[6], q[7]; crz(x20) q[6], q[5]; crz(x21) q[6], q[4]; crz(x22) q[6], q[3]; crz(x23) q[6], q[2]; crz(x24) q[6], q[1]; crz(x25) q[6], q[0]; crz(x26) q[5], q[8]; crz(x18) q[5], q[7]; crz(x19) q[5], q[6]; crz(x21) q[5], q[4]; crz(x22) q[5], q[3]; crz(x23) q[5], q[2]; crz(x24) q[5], q[1]; crz(x25) q[5], q[0]; crz(x26) q[4], q[8]; crz(x18) q[4], q[7]; crz(x19) q[4], q[6]; crz(x20) q[4], q[5]; crz(x22) q[4], q[3]; crz(x23) q[4], q[2]; crz(x24) q[4], q[1]; crz(x25) q[4], q[0]; crz(x26) q[3], q[8]; crz(x18) q[3], q[7]; crz(x19) q[3], q[6]; crz(x20) q[3], q[5]; crz(x21) q[3], q[4]; crz(x23) q[3], q[2]; crz(x24) q[3], q[1]; crz(x25) q[3], q[0]; crz(x26) q[2], q[8]; crz(x18) q[2], q[7]; crz(x19) q[2], q[6]; crz(x20) q[2], q[5]; crz(x21) q[2], q[4]; crz(x22) q[2], q[3]; crz(x24) q[2], q[1]; crz(x25) q[2], q[0]; crz(x26) q[1], q[8]; crz(x18) q[1], q[7]; crz(x19) q[1], q[6]; crz(x20) q[1], q[5]; crz(x21) q[1], q[4]; crz(x22) q[1], q[3]; crz(x23) q[1], q[2]; crz(x25) q[1], q[0]; crz(x26) q[0], q[8]; crz(x18) q[0], q[7]; crz(x19) q[0], q[6]; crz(x20) q[0], q[5]; crz(x21) q[0], q[4]; crz(x22) q[0], q[3]; crz(x23) q[0], q[2]; crz(x24) q[0], q[1]; rx(x27) q[0]; rz(x28) q[0]; rx(x29) q[1]; rz(x3) q[1]; rx(x30) q[2]; rz(x31) q[2]; rx(x32) q[3]; rz(x33) q[3]; rx(x34) q[4]; rz(x35) q[4]; rx(x36) q[5]; rz(x37) q[5]; rx(x38) q[6]; rz(x39) q[6]; rx(x40) q[7]; rz(x41) q[7]; rx(x42) q[8]; rz(x43) q[8]; rx(x44) q[0]; rz(x45) q[0]; rx(x46) q[1]; rz(x47) q[1]; rx(x48) q[2]; rz(x49) q[2]; rx(x50) q[3]; rz(x51) q[3]; rx(x52) q[4]; rz(x53) q[4]; rx(x54) q[5]; rz(x55) q[5]; rx(x56) q[6]; rz(x57) q[6]; rx(x58) q[7]; rz(x59) q[7]; rx(x60) q[8]; rz(x61) q[8]; crz(x62) q[8], q[7]; crz(x63) q[8], q[6]; crz(x64) q[8], q[5]; crz(x65) q[8], q[4]; crz(x66) q[8], q[3]; crz(x67) q[8], q[2]; crz(x68) q[8], q[1]; crz(x69) q[8], q[0]; crz(x70) q[7], q[8]; crz(x63) q[7], q[6]; crz(x64) q[7], q[5]; crz(x65) q[7], q[4]; crz(x66) q[7], q[3]; crz(x67) q[7], q[2]; crz(x68) q[7], q[1]; crz(x69) q[7], q[0]; crz(x70) q[6], q[8]; crz(x62) q[6], q[7]; crz(x64) q[6], q[5]; crz(x65) q[6], q[4]; crz(x66) q[6], q[3]; crz(x67) q[6], q[2]; crz(x68) q[6], q[1]; crz(x69) q[6], q[0]; crz(x70) q[5], q[8]; crz(x62) q[5], q[7]; crz(x63) q[5], q[6]; crz(x65) q[5], q[4]; crz(x66) q[5], q[3]; crz(x67) q[5], q[2]; crz(x68) q[5], q[1]; crz(x69) q[5], q[0]; crz(x70) q[4], q[8]; crz(x62) q[4], q[7]; crz(x63) q[4], q[6]; crz(x64) q[4], q[5]; crz(x66) q[4], q[3]; crz(x67) q[4], q[2]; crz(x68) q[4], q[1]; crz(x69) q[4], q[0]; crz(x70) q[3], q[8]; crz(x62) q[3], q[7]; crz(x63) q[3], q[6]; crz(x64) q[3], q[5]; crz(x65) q[3], q[4]; crz(x67) q[3], q[2]; crz(x68) q[3], q[1]; crz(x69) q[3], q[0]; crz(x70) q[2], q[8]; crz(x62) q[2], q[7]; crz(x63) q[2], q[6]; crz(x64) q[2], q[5]; crz(x65) q[2], q[4]; crz(x66) q[2], q[3]; crz(x68) q[2], q[1]; crz(x69) q[2], q[0]; crz(x70) q[1], q[8]; crz(x62) q[1], q[7]; crz(x63) q[1], q[6]; crz(x64) q[1], q[5]; crz(x65) q[1], q[4]; crz(x66) q[1], q[3]; crz(x67) q[1], q[2]; crz(x69) q[1], q[0]; crz(x70) q[0], q[8]; crz(x62) q[0], q[7]; crz(x63) q[0], q[6]; crz(x64) q[0], q[5]; crz(x65) q[0], q[4]; crz(x66) q[0], q[3]; crz(x67) q[0], q[2]; crz(x68) q[0], q[1]; rx(x71) q[0]; rz(x72) q[0]; rx(x73) q[1]; rz(x74) q[1]; rx(x75) q[2]; rz(x76) q[2]; rx(x77) q[3]; rz(x78) q[3]; rx(x79) q[4]; rz(x80) q[4]; rx(x81) q[5]; rz(x82) q[5]; rx(x83) q[6]; rz(x84) q[6]; rx(x85) q[7]; rz(x86) q[7]; rx(x87) q[8]; rz(x88) q[8]; rx(x89) q[0]; rz(x90) q[0]; rx(x91) q[1]; rz(x49) q[1]; rx(x92) q[2]; rz(x93) q[2]; rx(x94) q[3]; rz(x95) q[3]; rx(x96) q[4]; rz(x97) q[4]; rx(x98) q[5]; rz(x99) q[5]; rx(x100) q[6]; rz(x101) q[6]; rx(x102) q[7]; rz(x103) q[7]; rx(x104) q[8]; rz(x105) q[8]; crz(x106) q[8], q[7]; crz(x107) q[8], q[6]; crz(x108) q[8], q[5]; crz(x109) q[8], q[4]; crz(x110) q[8], q[3]; crz(x111) q[8], q[2]; crz(x56) q[8], q[1]; crz(x112) q[8], q[0]; crz(x113) q[7], q[8]; crz(x107) q[7], q[6]; crz(x108) q[7], q[5]; crz(x109) q[7], q[4]; crz(x110) q[7], q[3]; crz(x111) q[7], q[2]; crz(x56) q[7], q[1]; crz(x112) q[7], q[0]; crz(x113) q[6], q[8]; crz(x106) q[6], q[7]; crz(x108) q[6], q[5]; crz(x109) q[6], q[4]; crz(x110) q[6], q[3]; crz(x111) q[6], q[2]; crz(x56) q[6], q[1]; crz(x112) q[6], q[0]; crz(x113) q[5], q[8]; crz(x106) q[5], q[7]; crz(x107) q[5], q[6]; crz(x109) q[5], q[4]; crz(x110) q[5], q[3]; crz(x111) q[5], q[2]; crz(x56) q[5], q[1]; crz(x112) q[5], q[0]; crz(x113) q[4], q[8]; crz(x106) q[4], q[7]; crz(x107) q[4], q[6]; crz(x108) q[4], q[5]; crz(x110) q[4], q[3]; crz(x111) q[4], q[2]; crz(x56) q[4], q[1]; crz(x112) q[4], q[0]; crz(x113) q[3], q[8]; crz(x106) q[3], q[7]; crz(x107) q[3], q[6]; crz(x108) q[3], q[5]; crz(x109) q[3], q[4]; crz(x111) q[3], q[2]; crz(x56) q[3], q[1]; crz(x112) q[3], q[0]; crz(x113) q[2], q[8]; crz(x106) q[2], q[7]; crz(x107) q[2], q[6]; crz(x108) q[2], q[5]; crz(x109) q[2], q[4]; crz(x110) q[2], q[3]; crz(x56) q[2], q[1]; crz(x112) q[2], q[0]; crz(x113) q[1], q[8]; crz(x106) q[1], q[7]; crz(x107) q[1], q[6]; crz(x108) q[1], q[5]; crz(x109) q[1], q[4]; crz(x110) q[1], q[3]; crz(x111) q[1], q[2]; crz(x112) q[1], q[0]; crz(x113) q[0], q[8]; crz(x106) q[0], q[7]; crz(x107) q[0], q[6]; crz(x108) q[0], q[5]; crz(x109) q[0], q[4]; crz(x110) q[0], q[3]; crz(x111) q[0], q[2]; crz(x56) q[0], q[1]; rx(x114) q[0]; rz(x115) q[0]; rx(x116) q[1]; rz(x117) q[1]; rx(x118) q[2]; rz(x119) q[2]; rx(x120) q[3]; rz(x121) q[3]; rx(x122) q[4]; rz(x123) q[4]; rx(x124) q[5]; rz(x125) q[5]; rx(x126) q[6]; rz(x127) q[6]; rx(x128) q[7]; rz(x129) q[7]; rx(x130) q[8]; rz(x131) q[8]; rx(x132) q[0]; rz(x133) q[0]; rx(x134) q[1]; rz(x135) q[1]; rx(x136) q[2]; rz(x137) q[2]; rx(x138) q[3]; rz(x139) q[3]; rx(x140) q[4]; rz(x141) q[4]; rx(x116) q[5]; rz(x142) q[5]; rx(x143) q[6]; rz(x144) q[6]; rx(x145) q[7]; rz(x146) q[7]; rx(x147) q[8]; rz(x148) q[8]; crz(x149) q[8], q[7]; crz(x150) q[8], q[6]; crz(x151) q[8], q[5]; crz(x152) q[8], q[4]; crz(x153) q[8], q[3]; crz(x154) q[8], q[2]; crz(x155) q[8], q[1]; crz(x156) q[8], q[0]; crz(x157) q[7], q[8]; crz(x150) q[7], q[6]; crz(x151) q[7], q[5]; crz(x152) q[7], q[4]; crz(x153) q[7], q[3]; crz(x154) q[7], q[2]; crz(x155) q[7], q[1]; crz(x156) q[7], q[0]; crz(x157) q[6], q[8]; crz(x149) q[6], q[7]; crz(x151) q[6], q[5]; crz(x152) q[6], q[4]; crz(x153) q[6], q[3]; crz(x154) q[6], q[2]; crz(x155) q[6], q[1]; crz(x156) q[6], q[0]; crz(x157) q[5], q[8]; crz(x149) q[5], q[7]; crz(x150) q[5], q[6]; crz(x152) q[5], q[4]; crz(x153) q[5], q[3]; crz(x154) q[5], q[2]; crz(x155) q[5], q[1]; crz(x156) q[5], q[0]; crz(x157) q[4], q[8]; crz(x149) q[4], q[7]; crz(x150) q[4], q[6]; crz(x151) q[4], q[5]; crz(x153) q[4], q[3]; crz(x154) q[4], q[2]; crz(x155) q[4], q[1]; crz(x156) q[4], q[0]; crz(x157) q[3], q[8]; crz(x149) q[3], q[7]; crz(x150) q[3], q[6]; crz(x151) q[3], q[5]; crz(x152) q[3], q[4]; crz(x154) q[3], q[2]; crz(x155) q[3], q[1]; crz(x156) q[3], q[0]; crz(x157) q[2], q[8]; crz(x149) q[2], q[7]; crz(x150) q[2], q[6]; crz(x151) q[2], q[5]; crz(x152) q[2], q[4]; crz(x153) q[2], q[3]; crz(x155) q[2], q[1]; crz(x156) q[2], q[0]; crz(x157) q[1], q[8]; crz(x149) q[1], q[7]; crz(x150) q[1], q[6]; crz(x151) q[1], q[5]; crz(x152) q[1], q[4]; crz(x153) q[1], q[3]; crz(x154) q[1], q[2]; crz(x156) q[1], q[0]; crz(x157) q[0], q[8]; crz(x149) q[0], q[7]; crz(x150) q[0], q[6]; crz(x151) q[0], q[5]; crz(x152) q[0], q[4]; crz(x153) q[0], q[3]; crz(x154) q[0], q[2]; crz(x155) q[0], q[1]; rx(x158) q[0]; rz(x159) q[0]; rx(x160) q[1]; rz(x161) q[1]; rx(x124) q[2]; rz(x162) q[2]; rx(x163) q[3]; rz(x164) q[3]; rx(x165) q[4]; rz(x166) q[4]; rx(x167) q[5]; rz(x93) q[5]; rx(x168) q[6]; rz(x169) q[6]; rx(x170) q[7]; rz(x171) q[7]; rx(x172) q[8]; rz(x173) q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
{"matching": "maximum", "extra": "{\"n\": 9}"}
{"circuits": [], "gradients": []}
-3157302381660211115
hypermaxcut
qaoa
{"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5], [3, 6], [0, 5], [8, 5], [1, 3], [1, 6], [0, 7], [8, 7], [1, 2], [3, 4], [5, 7], [2, 6], [1, 4], [0, 8], [2, 5]]}
{"states": [481, 482], "expectation_value": -0.0243691610085646, "params": [[0.0267], [-0.030600000000000002]], "bitstrings": ["000011110", "000011101"], "total_optimization_steps": 10, "probabilities": [0.0019979953159408185, 0.0019979953159408185], "optimization_time": 0.698986291885376}
0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(8) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(4)
1
9
1
{"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["000011101", "000011110", "111100010", "111100001", "011100011", "100011100"]}
OPENQASM 3.0; include "stdgates.inc"; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[5], q[1]; rz(0.0267) q[1]; cx q[5], q[1]; cx q[1], q[3]; rz(0.0267) q[3]; cx q[1], q[3]; cx q[1], q[6]; rz(0.0267) q[6]; cx q[1], q[6]; cx q[3], q[6]; rz(0.0267) q[6]; cx q[3], q[6]; cx q[5], q[0]; rz(0.0267) q[0]; cx q[5], q[0]; cx q[5], q[8]; rz(0.0267) q[8]; cx q[5], q[8]; cx q[0], q[8]; rz(0.0267) q[8]; cx q[0], q[8]; cx q[5], q[7]; rz(0.0267) q[7]; cx q[5], q[7]; cx q[0], q[7]; rz(0.0267) q[7]; cx q[0], q[7]; cx q[8], q[7]; rz(0.0267) q[7]; cx q[8], q[7]; cx q[5], q[2]; rz(0.0267) q[2]; cx q[5], q[2]; cx q[1], q[2]; rz(0.0267) q[2]; cx q[1], q[2]; cx q[6], q[2]; rz(0.0267) q[2]; cx q[6], q[2]; cx q[1], q[4]; rz(0.0267) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(0.0267) q[4]; cx q[3], q[4]; rz(0) q[5]; rz(0) q[1]; rz(0) q[3]; rz(0) q[6]; rz(0) q[0]; rz(0) q[8]; rz(0) q[7]; rz(0) q[2]; rz(0) q[4]; h q[0]; rz(-0.0612) q[0]; h q[0]; h q[1]; rz(-0.0612) q[1]; h q[1]; h q[2]; rz(-0.0612) q[2]; h q[2]; h q[3]; rz(-0.0612) q[3]; h q[3]; h q[4]; rz(-0.0612) q[4]; h q[4]; h q[5]; rz(-0.0612) q[5]; h q[5]; h q[6]; rz(-0.0612) q[6]; h q[6]; h q[7]; rz(-0.0612) q[7]; h q[7]; h q[8]; rz(-0.0612) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
OPENQASM 3.0; include "stdgates.inc"; input float[64] x0; input float[64] x1; input float[64] x2; bit[9] c; qubit[9] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; h q[8]; cx q[5], q[1]; rz(x0) q[1]; cx q[5], q[1]; cx q[1], q[3]; rz(x0) q[3]; cx q[1], q[3]; cx q[1], q[6]; rz(x0) q[6]; cx q[1], q[6]; cx q[3], q[6]; rz(x0) q[6]; cx q[3], q[6]; cx q[5], q[0]; rz(x0) q[0]; cx q[5], q[0]; cx q[5], q[8]; rz(x0) q[8]; cx q[5], q[8]; cx q[0], q[8]; rz(x0) q[8]; cx q[0], q[8]; cx q[5], q[7]; rz(x0) q[7]; cx q[5], q[7]; cx q[0], q[7]; rz(x0) q[7]; cx q[0], q[7]; cx q[8], q[7]; rz(x0) q[7]; cx q[8], q[7]; cx q[5], q[2]; rz(x0) q[2]; cx q[5], q[2]; cx q[1], q[2]; rz(x0) q[2]; cx q[1], q[2]; cx q[6], q[2]; rz(x0) q[2]; cx q[6], q[2]; cx q[1], q[4]; rz(x0) q[4]; cx q[1], q[4]; cx q[3], q[4]; rz(x0) q[4]; cx q[3], q[4]; rz(x1) q[5]; rz(x1) q[1]; rz(x1) q[3]; rz(x1) q[6]; rz(x1) q[0]; rz(x1) q[8]; rz(x1) q[7]; rz(x1) q[2]; rz(x1) q[4]; h q[0]; rz(x2) q[0]; h q[0]; h q[1]; rz(x2) q[1]; h q[1]; h q[2]; rz(x2) q[2]; h q[2]; h q[3]; rz(x2) q[3]; h q[3]; h q[4]; rz(x2) q[4]; h q[4]; h q[5]; rz(x2) q[5]; h q[5]; h q[6]; rz(x2) q[6]; h q[6]; h q[7]; rz(x2) q[7]; h q[7]; h q[8]; rz(x2) q[8]; h q[8]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7]; c[8] = measure q[8];
null
{"circuits": [], "gradients": []}
-6170143923129228437
hypermaxcut
adaptive_vqe
{"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 4], [1, 5], [3, 5, 6], [0, 3], [1, 2, 3], [0, 5], [4, 7], [2, 3, 5]]}
{"states": [53, 60], "expectation_value": -2.749487076024844, "params": null, "bitstrings": ["11001010", "11000011"], "total_optimization_steps": 53, "probabilities": [0.05608097171249614, 0.8054378771726384], "optimization_time": 79.60331678390503}
0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * Z(2) + 0.16666666666666674 * Z(0) + 0.16666666666666663 * Z(4) + 0.16666666666666663 * Z(1) + 0.33333333333333326 * Z(5) + 0.5000000000000001 * Z(3) + 0.16666666666666666 * Z(6) + 0.0 * Z(7)
1
8
1
{"smallest_eigenvalues": [-2.9999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6666666666666665, "smallest_bitstrings": ["11000011"]}
OPENQASM 3.0; include "stdgates.inc"; bit[8] c; qubit[8] q; h q[0]; h q[1]; h q[2]; h q[3]; h q[4]; h q[5]; h q[6]; h q[7]; ry(1.4449) q[2]; cry(-1.0324) q[5], q[0]; ry(0.9726) q[5]; cry(-1.3748) q[5], q[1]; cry(-0.8041) q[3], q[0]; ry(1.1701) q[3]; ry(-0.4058) q[0]; cry(0.3486) q[2], q[5]; cry(-1.0342) q[4], q[7]; ry(0.922) q[4]; ry(-0.6276) q[7]; cry(0.4544) q[2], q[4]; cry(-0.309) q[2], q[7]; cry(0.3088) q[5], q[3]; cry(-0.1573) q[2], q[0]; cry(-0.6462) q[5], q[6]; cry(-0.2084) q[3], q[1]; cry(-0.4017) q[3], q[6]; cry(0.1459) q[3], q[4]; cry(0.097) q[3], q[5]; ry(-0.1945) q[6]; cry(0.0776) q[2], q[3]; cry(-0.087) q[3], q[7]; cry(-0.0327) q[4], q[0]; cry(-0.106) q[2], q[6]; cry(0.0396) q[5], q[4]; cry(0.0757) q[5], q[2]; cry(-0.0318) q[2], q[1]; cry(0.0942) q[0], q[1]; cry(-0.0532) q[4], q[6]; cry(0.0659) q[0], q[6]; cry(-0.0242) q[5], q[7]; cry(0.0159) q[4], q[5]; cry(-0.058) q[1], q[5]; cry(-0.0449) q[1], q[0]; cry(0.031) q[3], q[2]; cry(0.0438) q[1], q[6]; cry(0.0124) q[4], q[3]; cry(0.0245) q[6], q[1]; cry(-0.0232) q[1], q[3]; cry(-0.0196) q[0], q[5]; cry(0.0131) q[4], q[2]; cry(-0.0166) q[6], q[0]; c[0] = measure q[0]; c[1] = measure q[1]; c[2] = measure q[2]; c[3] = measure q[3]; c[4] = measure q[4]; c[5] = measure q[5]; c[6] = measure q[6]; c[7] = measure q[7];
null
null
{"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\ncry(-0.058) q[1], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\ncry(-0.058) q[1], q[5];\ncry(-0.0449) q[1], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\ncry(-0.058) q[1], q[5];\ncry(-0.0449) q[1], q[0];\ncry(0.031) q[3], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\ncry(-0.058) q[1], q[5];\ncry(-0.0449) q[1], q[0];\ncry(0.031) q[3], q[2];\ncry(0.0438) q[1], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\ncry(-0.058) q[1], q[5];\ncry(-0.0449) q[1], q[0];\ncry(0.031) q[3], q[2];\ncry(0.0438) q[1], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\ncry(-0.058) q[1], q[5];\ncry(-0.0449) q[1], q[0];\ncry(0.031) q[3], q[2];\ncry(0.0438) q[1], q[6];\ncry(0.0124) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\ncry(-0.058) q[1], q[5];\ncry(-0.0449) q[1], q[0];\ncry(0.031) q[3], q[2];\ncry(0.0438) q[1], q[6];\ncry(0.0124) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\ncry(-0.058) q[1], q[5];\ncry(-0.0449) q[1], q[0];\ncry(0.031) q[3], q[2];\ncry(0.0438) q[1], q[6];\ncry(0.0124) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\ncry(-0.058) q[1], q[5];\ncry(-0.0449) q[1], q[0];\ncry(0.031) q[3], q[2];\ncry(0.0438) q[1], q[6];\ncry(0.0124) q[4], q[3];\ncry(0.0245) q[6], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\ncry(-0.058) q[1], q[5];\ncry(-0.0449) q[1], q[0];\ncry(0.031) q[3], q[2];\ncry(0.0438) q[1], q[6];\ncry(0.0124) q[4], q[3];\ncry(0.0245) q[6], q[1];\ncry(-0.0232) q[1], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\ncry(-0.058) q[1], q[5];\ncry(-0.0449) q[1], q[0];\ncry(0.031) q[3], q[2];\ncry(0.0438) q[1], q[6];\ncry(0.0124) q[4], q[3];\ncry(0.0245) q[6], q[1];\ncry(-0.0232) q[1], q[3];\ncry(-0.0196) q[0], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\ncry(-0.058) q[1], q[5];\ncry(-0.0449) q[1], q[0];\ncry(0.031) q[3], q[2];\ncry(0.0438) q[1], q[6];\ncry(0.0124) q[4], q[3];\ncry(0.0245) q[6], q[1];\ncry(-0.0232) q[1], q[3];\ncry(-0.0196) q[0], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\ncry(-0.058) q[1], q[5];\ncry(-0.0449) q[1], q[0];\ncry(0.031) q[3], q[2];\ncry(0.0438) q[1], q[6];\ncry(0.0124) q[4], q[3];\ncry(0.0245) q[6], q[1];\ncry(-0.0232) q[1], q[3];\ncry(-0.0196) q[0], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\ncry(-0.058) q[1], q[5];\ncry(-0.0449) q[1], q[0];\ncry(0.031) q[3], q[2];\ncry(0.0438) q[1], q[6];\ncry(0.0124) q[4], q[3];\ncry(0.0245) q[6], q[1];\ncry(-0.0232) q[1], q[3];\ncry(-0.0196) q[0], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\ncry(-0.058) q[1], q[5];\ncry(-0.0449) q[1], q[0];\ncry(0.031) q[3], q[2];\ncry(0.0438) q[1], q[6];\ncry(0.0124) q[4], q[3];\ncry(0.0245) q[6], q[1];\ncry(-0.0232) q[1], q[3];\ncry(-0.0196) q[0], q[5];\ncry(0.0131) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\ncry(-0.058) q[1], q[5];\ncry(-0.0449) q[1], q[0];\ncry(0.031) q[3], q[2];\ncry(0.0438) q[1], q[6];\ncry(0.0124) q[4], q[3];\ncry(0.0245) q[6], q[1];\ncry(-0.0232) q[1], q[3];\ncry(-0.0196) q[0], q[5];\ncry(0.0131) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\ncry(-0.058) q[1], q[5];\ncry(-0.0449) q[1], q[0];\ncry(0.031) q[3], q[2];\ncry(0.0438) q[1], q[6];\ncry(0.0124) q[4], q[3];\ncry(0.0245) q[6], q[1];\ncry(-0.0232) q[1], q[3];\ncry(-0.0196) q[0], q[5];\ncry(0.0131) q[4], q[2];\ncry(-0.0166) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\ncry(-0.058) q[1], q[5];\ncry(-0.0449) q[1], q[0];\ncry(0.031) q[3], q[2];\ncry(0.0438) q[1], q[6];\ncry(0.0124) q[4], q[3];\ncry(0.0245) q[6], q[1];\ncry(-0.0232) q[1], q[3];\ncry(-0.0196) q[0], q[5];\ncry(0.0131) q[4], q[2];\ncry(-0.0166) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\ncry(-0.058) q[1], q[5];\ncry(-0.0449) q[1], q[0];\ncry(0.031) q[3], q[2];\ncry(0.0438) q[1], q[6];\ncry(0.0124) q[4], q[3];\ncry(0.0245) q[6], q[1];\ncry(-0.0232) q[1], q[3];\ncry(-0.0196) q[0], q[5];\ncry(0.0131) q[4], q[2];\ncry(-0.0166) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[2];\ncry(-1.0324) q[5], q[0];\nry(0.9726) q[5];\ncry(-1.3748) q[5], q[1];\ncry(-0.8041) q[3], q[0];\nry(1.1701) q[3];\nry(-0.4058) q[0];\ncry(0.3486) q[2], q[5];\ncry(-1.0342) q[4], q[7];\nry(0.922) q[4];\nry(-0.6276) q[7];\ncry(0.4544) q[2], q[4];\ncry(-0.309) q[2], q[7];\ncry(0.3088) q[5], q[3];\ncry(-0.1573) q[2], q[0];\ncry(-0.6462) q[5], q[6];\ncry(-0.2084) q[3], q[1];\ncry(-0.4017) q[3], q[6];\ncry(0.1459) q[3], q[4];\ncry(0.097) q[3], q[5];\nry(-0.1945) q[6];\ncry(0.0776) q[2], q[3];\ncry(-0.087) q[3], q[7];\ncry(-0.0327) q[4], q[0];\ncry(-0.106) q[2], q[6];\ncry(0.0396) q[5], q[4];\ncry(0.0757) q[5], q[2];\ncry(-0.0318) q[2], q[1];\ncry(0.0942) q[0], q[1];\ncry(-0.0532) q[4], q[6];\ncry(0.0659) q[0], q[6];\ncry(-0.0242) q[5], q[7];\ncry(0.0159) q[4], q[5];\ncry(-0.058) q[1], q[5];\ncry(-0.0449) q[1], q[0];\ncry(0.031) q[3], q[2];\ncry(0.0438) q[1], q[6];\ncry(0.0124) q[4], q[3];\ncry(0.0245) q[6], q[1];\ncry(-0.0232) q[1], q[3];\ncry(-0.0196) q[0], q[5];\ncry(0.0131) q[4], q[2];\ncry(-0.0166) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\nc[7] = measure q[7];\n"], "gradients": [0.4962, 0.2526, 0.3861, 0.4298, 0.3374, 0.4075, 0.3239, 0.265, 0.2513, 0.3576, 0.2754, 0.2576, 0.161, 0.144, 0.1572, 0.1379, 0.1263, 0.1003, 0.0876, 0.0824, 0.0509, 0.0473, 0.0458, 0.0324, 0.0281, 0.0226, 0.0218, 0.0215, 0.019, 0.0139, 0.0128, 0.0124, 0.0123, 0.0125, 0.0091, 0.0086, 0.0086, 0.0069, 0.0068, 0.0058, 0.0051, 0.0049, 0.005, 0.0045, 0.0044, 0.0041, 0.0036, 0.0035, 0.0034, 0.0034, 0.0033, 0.0033, 0.0028]}
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