Improved statistical fluctuation analysis for measurement-device-independent quantum key distribution
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Measurement-device-independent quantum key distribution (MDI-QKD) is a promising protocol for realizing long-distance secret keys sharing. However, its key rate is relatively low when the finite-size effect is taken into account. In this paper, we consider statistical fluctuation analysis for the three-intensity decoy-state MDI-QKD system based on the recent work (Zhang et al. in Phys Rev A 95:012333, 2017) and further compare its performance with that of applying the Gaussian approximation technique and the Chernoff bound method. The numerical simulations demonstrate that the new method has apparent enhancement both in key generation rate and transmission distance than using Chernoff bound method. Meanwhile, the present work still shows much higher security than Gaussian approximation analysis.
KeywordsQuantum key distribution Statistical fluctuation analysis Decoy state
We appreciate enlightened discussion and kind assistance in mathematical simulations from Mr. X. Y. Zhou and C. H. Zhang. We also gratefully acknowledge the financial support from the National Key Research and Development Program of China through Grant No. 2017YFA0304100, the National Natural Science Foundation of China through Grants Nos. 61475197, 61590932, 11774180, 61705110, the Natural Science Foundation of the Jiangsu Higher Education Institutions through Grant Nos. 15KJA120002, 17KJB140016, the Outstanding Youth Project of Jiangsu Province through Grant No. BK20150039 and the Natural Science Foundation of Jiangsu Province through Grant No. BK20170902.