Fig. 4: The relation between Hmin(A∣E) and \(\frac{{\eta }_{1}}{{\eta }_{0}}\) with different \({\hat{{p}}_{\alpha }}\) (0, 0.05).

The pulses with a Poisson distribution that contains ν = 10 photons insert SPDs with ηα = 0.1 and ed = 6 × 10−7.
The pulses with a Poisson distribution that contains ν = 10 photons insert SPDs with ηα = 0.1 and ed = 6 × 10−7.