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We address the problem of coherent state discrimination in the presence ofphase diffusion. We investigate the role of the hybrid near-optimum receiver(HYNORE) we proposed in [J. Opt. Soc. Am. B 40, 705-714 (2023)] in the task ofmitigating the noise impact. We prove the HYNORE to be a robust receiver,outperforming the displacement photon-number-resolving (DPNR) receiver andbeating the standard quantum limit in particular regimes. We introduce themaximum tolerable phase noise $\sigma_{\mathrm{max}}$ as a figure of merit forthe receiver robustness and show that HYNORE increases its value with respectto the DPNR receiver.

A robust hybrid receiver for binary phase-shift keying discrimination in the presence of phase noise