Fig. 2: The relation function between \({a}_{{\mathrm{i}}}^{{\mathrm{p}}}\) and \({\hat{p}}_{{\mathrm{i}}\alpha }\).

The same values are given to the parameters of the detectors. We assume that pulses with coherent states that contain the mean photon number ν = 1 insert SPDs with detection efficiency ηα = 0.1, edα = 6 × 10−7 and \(\hat{{p}_{\alpha }}=0.05\). For ideal devices, the prior autocorrelation coefficient should be 0.