Fig. 1. Schematic of boson sampling simulation considering photon partial distinguishability. (a) 6-photon and 10-mode optical network with photon partial distinguishability; (b) single optical unit containing a beam splitter and a phase shifter

Fig. 2. Simulated probabilities of 210 output combinations. (a) Probability comparison between real and ideal output combinations with 1 distinguishable photon and zero indistinguishability; (b) probability comparison between real and ideal output combinations with 1 distinguishable photon and 0.9 indistinguishability

Fig. 3. Error analysis for 100-time repeated experimental results with partially distinguishable photos randomly distributed among 6 input single photons. (a) Average total variation distance; (b) average similarity

Fig. 4. Schematic of boson sampling simulation considering photon losses. (a) 6-photon and 10-mode optical network with photon losses; (b) single optical unit containing three beam splitters (including two imaginary beam splitters) and a phase shifter

Fig. 5. Simulated probabilities of 210 output combinations under different conditions

Fig. 6. Error analysis of results considering photon losses. (a) Total variation distance; (b) similarity