为了更加全面分析测量设备无关量子密钥分配协议,对基于标记配对相干态的测量设备无关量子密钥分配协议进行了统计涨落分析。首先分析了当光源在统计涨落时,随着发送信号脉冲数的增加,误码率和密钥生成率与传输距离的关系。结果表明,增加脉冲数能增大密钥生成率和最大传输距离,降低误码率,且基于标记配对相干态的协议性能比基于指示单光子源的协议性能要好。进一步分析了光源在统计涨落时,基于标记配对相干态的测量设备无关量子密钥分配协议在非对称信道中的密钥生成率与传输距离的关系,由仿真结果得知,非对称信道时的性能比对称信道时的性能好。

In order to analyze the measurement-device-independent quantum key distribution protocol more comprehensively, the statistical fluctuation analysis of measurement-device-independent quantum key distribution protocols based on heralded pair coherent state is carried out. First, with the increase of the number of transmitted signal pulses in the statistical fluctuation of light source, the relationships of bit error rate and key generation rate with transmission distance are analyzed. The results show that increasing the number of pulses can improve the key generation rate and the maximum transmission distance, and can reduce the bit error rate. Moreover, the measurement-device-independent quantum key distribution protocol based on heralded pair coherent state has better performance than the one based on heralded single photon sources. When the light source is statistical fluctuating, the relationship between the key generation rate and the transmission distance of measurement-device-independent quantum key distribution protocol based on heralded pair coherent state in asymmetric channels is further analyzed, and the simulation results show that this protocol in asymmetric channels has better performance than that in symmetric channels.