Quantum Computing, Quantum Physics, Quantum Mechanics, Algorithms.
same lines, the spectral decomposition of H would be, To get the energy value for the given state |Y> we calculate the expectation value of H, <Y|H|Y> = E(Y). If the state being considered is an eigenstate, we get <Yi|H|Yi> = E(Yi). For the eigenstate associated with the lowest eigenvalue, we