Improved statistical fluctuation analysis for measurement-device-independent quantum key distribution with three-intensity decoy-state method

摘要

We present an improved statistical fluctuation analysis for measurementdevice independent quantum key distribution with three-intensity decoy-statemethod. Taking the statistical fluctuations for different sources jointly, wepresent more tightened formulas for some key quantities used in calculating thesecure final key. Numerical simulation shows that, given the total number ofpulses $10^{12}$, our method improves the key rate by about 97\% for a distanceof 50kms compared with the result given by Xu., et al. (Phys. Rev. A 89,052333); and improves the key rate by $146\%$ for a distance of 100kms comparedwith the result from full optimization of all parameters but treating thestatistical fluctuations traditionally, i.e., treating the fluctuations fordifferent sources separately.