Parity measurement
![](http://upload.wikimedia.org/wikipedia/commons/thumb/c/c5/Quantum_circuit_that_exhibits_Parity_Measurement.png/220px-Quantum_circuit_that_exhibits_Parity_Measurement.png)
Quantum circuit that exhibits 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.[1] 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 . [2]
References[]
- ^ Gottesman, Daniel (2009). "An Introduction to Quantum Error Correction and Fault-Tolerant Quantum Computation". arXiv:0904.2557. Cite journal requires
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(help) - ^ Devitt, Simon J.; Nemoto, Kae; Munro, William J. (2009). "Quantum Error Correction for Beginners". arXiv:0905.2794. Cite journal requires
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Categories:
- Quantum information science
- Quantum information theory
- Quantum measurement
- Quantum computing
- Theoretical computer science stubs