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We propose a hybrid feed-forward receiver (HFFRE) for the discrimination ofbinary phase-shift-keyed coherent states based on the appropriate combinationof a displacement feed-forward receiver (DFFRE) and a homodynelike setupemploying a low-intensity local oscillator and photon-number-resolvingdetectors. We investigate the performance of the proposed scheme, alsoaddressing realistic scenarios in the presence of nonunit quantum detectionefficiency, dark counts, and visibility reduction. The present HFFREoutperforms the DFFRE in all conditions, beating the standard quantum limit inparticular regimes.

Beating the standard quantum limit for binary phase-shift-keying discrimination with a realistic hybrid feed-forward receiver