Positive operator valued measure in quantum information processing

Howard E. Brandt

doi:10.1117/12.312643

6 July 1998 Positive operator valued measure in quantum information processing

Howard E. Brandt

Proceedings Volume 3385, Photonic Quantum Computing II; (1998) https://doi.org/10.1117/12.312643
Event: Aerospace/Defense Sensing and Controls, 1998, Orlando, FL, United States

Abstract

The positive operator valued measure (POVM), also known as the probability operator valued measure, is useful in quantum information processing. The POVM consists of a set of non-negative quantum-mechanical Hermitian operators that add up to the identity. The probability that a quantum system is in a particular state is given by the expectation value of the POVM operator corresponding to that state. Following a brief review of the mathematics and history of POVMs in quantum theory, and a pedagogical discussion of the quantum mechanics of photonic qubits, a particular implementation of a POVM for use in the measurement of photonic qubits is reviewed.

Citation Download Citation

Howard E. Brandt "Positive operator valued measure in quantum information processing", Proc. SPIE 3385, Photonic Quantum Computing II, (6 July 1998); https://doi.org/10.1117/12.312643

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