Optimal receiver for discrimination of two coherent states with inconclusive results

Kenji Nakahira, Tsuyoshi Sasaki Usuda · Physical Review A · 2012

We investigate the implementation of a measurement for binary optical coherent states that minimizes the error probability with a fixed rate of an inconclusive result. As a special case, the optimal measurement without inconclusive results, which is expressed as a projective measurement, can be implemented using only a beam splitter, a local coherent light source, a photon detector, and a feedback circuit. We find that the optimal measurement for binary optical coherent states with any probability of an inconclusive result can be implemented by the same optical components, even though the measurement is generally not projective.

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