Mahatma Gandhi Institute of Technology
'QUBIT' is the annual technical fest of the Department of Computer Science. It is a prestigious technological event in the state with papers presented from all over the country. It has risen beyond its technical reach and incorporated cultural aspects with the introduction of Lan-Gaming, Treasure Hunts, Fun Stalls etc. giving it an all round reach. It is organised during the month of March right from the year of its inception without fail. It is a technical symposium for young minds and meeting ground for tech-enthusiasts from around the country.
Algorithmic cooling
The algorithm can be written using quantum operations on qubits, as opposed to the classical treatment. In particular, the C-NOT and C-SWAP steps can be replaced by a single unitary quantum operator that operates on the 3 qubits. Although this operation changes qubits formula_50 in a different manner than the two classical steps, it yields the same final bias for qubit formula_51. The operator formula_107 can be uniquely defined by its action on the computational basis of the Hilbert space of 3 qubits:
In matrix form, this operator is the identity matrix of size 8, except that the 4th and 5th rows are swapped. The result of this operation can be obtained by writing the product state of the 3 qubits, formula_116, and applying formula_107 on it. Afterwards, the bias of qubit formula_51 can be calculated by projecting its state on the state formula_1 (without projecting qubits formula_50) and taking the trace of the result (see density matrix measurement):