Fig. 1. Boson sampling model with photon losses. (a) 4-photon and 8-mode optical network with photon losses; (b) partial output combinations of photons obtained by MCMC method

Fig. 2. Probabilities of samples containing photon losses_{increasing under different optical network scales}

Fig. 3. Updated curves of Bayesian test results with different photon loss probabilities. (a) 0.01; (b) 0.03; (c) 0.05; (d) 0.07

Fig. 4. Number of samples updating with τ_thin increasing with different photon loss probabilities, when Bayesian test result reaches 1. (a) 0.01; (b) 0.03; (c) 0.05; (d) 0.07

Fig. 5. Number of samples updating with τ_thin increasing under different optical network scales, when Bayesian test result reaches 1