Quantum measurement | Quantum information theory | Quantum computing

Parity measurement

Parity measurement (also referred to as Operator measurement) is a procedure in Quantum information science that is used to project a state into an eigenstate of an operator and to acquire its eigenvalue. For example, given a Hermitian and Unitary operator (whose eigenvalues are ) and a state , the circuit on the top right performs a Parity measurement on .After the first Hadamard gate, the state of the circuit is After applying the controlled-U gate, the state of the circuit evolves to After applying the second Hadamard gate, the state of the circuit turns into If the state of the top qubit after measurement is , then ; which is the eigenstate of . If the state of the top qubit is , then ; which is the eigenstate of . (Wikipedia).

Parity measurement
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Quantum circuit | Unitary operator | Quantum information science | Hermitian matrix