An effected process on finite statistical fluctuation analysis for decoy-state measurement device-independent quantum key distribution

TL;DR

This paper presents a new statistical fluctuation analysis method for decoy-state MDI-QKD with four intensities, improving the estimation of successful events and key rate under finite data conditions.

Contribution

The paper introduces a tighter lower bound estimation for successful events in decoy-state MDI-QKD, enhancing key rate performance with weaker device constraints.

Findings

Tighter lower bound of successful events n11 compared to previous methods.

Higher key rate achieved with the new estimation method under finite data.

Effective performance even with high dark count rates and low detection efficiency.

Abstract

In this paper, we consider the decoy-state Measurement-Device-Independent Quantum key distribution (MDI-QKD) with four intensities. The average value of successful events and bit errors among the pulse pair set be used to investigate the successful events of different pulses under the statistical fluctuation caused by the finite condition. We demonstrate that the lower bound of successful events number n11estimated by our method can be more tight than the result in [28]. Numerical simulations show that our estimation method can achieve a higher key rate than existing methods with a relatively weak constraints of experimental devices, such as high dark count rate and low detection efficiency of detectors when data size is N = 109.