Abstract
This paper characterizes two important properties of the photon number distribution of the heralded pair coherent state (HPCS) photon source. The formula of secret key generation rates for the decoy-state quantum key distribution with intensity fluctuation source is proved to hold true for the HPCS photon source. By numerical simulations, we show that the three-intensity decoy-state protocols for the HPCS photon source is efficiently getting close to the ideal decoy-state method. Moreover, we find that the HPCS source is more robust against intensity fluctuation than the weak coherent photon (WCP) source, but less stable than the heralded single photon source (HSPS).
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