Improved statistical fluctuation analysis for two decoy-states phase-matching quantum key distribution

doi:10.1088/1674-1056/acbdea

中国物理B ›› 2023, Vol. 32 ›› Issue (8): 80306-080306.doi: 10.1088/1674-1056/acbdea

Improved statistical fluctuation analysis for two decoy-states phase-matching quantum key distribution

Jiang-Ping Zhou(周江平)¹, Yuan-Yuan Zhou(周媛媛)^1,†, Xue-Jun Zhou(周学军)¹, and Xuan Bao(暴轩)²

1. College of Electronic Engineering, Naval University of engineering, Wuhan 430000, China;
2. Unit 92682, Zhanjiang 524000, China

收稿日期:2023-01-10 修回日期:2023-02-19 接受日期:2023-02-22 发布日期:2023-07-14
通讯作者: Yuan-Yuan Zhou E-mail:EPJZYY@aliyun.com
基金资助:
We are grateful to Mr. D Z Lan and Mr. Y M Zhu for their enlightening discussion and friendly help in mathematical simulation.

Improved statistical fluctuation analysis for two decoy-states phase-matching quantum key distribution

Jiang-Ping Zhou(周江平)¹, Yuan-Yuan Zhou(周媛媛)^1,†, Xue-Jun Zhou(周学军)¹, and Xuan Bao(暴轩)²

1. College of Electronic Engineering, Naval University of engineering, Wuhan 430000, China;
2. Unit 92682, Zhanjiang 524000, China

Received:2023-01-10 Revised:2023-02-19 Accepted:2023-02-22 Published:2023-07-14
Contact: Yuan-Yuan Zhou E-mail:EPJZYY@aliyun.com
Supported by:
We are grateful to Mr. D Z Lan and Mr. Y M Zhu for their enlightening discussion and friendly help in mathematical simulation.

摘要/Abstract

摘要： Phase-matching quantum key distribution is a promising scheme for remote quantum key distribution, breaking through the traditional linear key-rate bound. In practical applications, finite data size can cause significant system performance to deteriorate when data size is below 10¹⁰. In this work, an improved statistical fluctuation analysis method is applied for the first time to two decoy-states phase-matching quantum key distribution, offering a new insight and potential solutions for improving the key generation rate and the maximum transmission distance while maintaining security. Moreover, we also compare the influence of the proposed improved statistical fluctuation analysis method on system performance with those of the Gaussian approximation and Chernoff-Hoeffding boundary methods on system performance. The simulation results show that the proposed scheme significantly improves the key generation rate and maximum transmission distance in comparison with the Chernoff-Hoeffding approach, and approach the results obtained when the Gaussian approximation is employed. At the same time, the proposed scheme retains the same security level as the Chernoff-Hoeffding method, and is even more secure than the Gaussian approximation.

关键词: quantum key distribution, phase matching protocol, statistical fluctuation analysis, decoy state

Abstract: Phase-matching quantum key distribution is a promising scheme for remote quantum key distribution, breaking through the traditional linear key-rate bound. In practical applications, finite data size can cause significant system performance to deteriorate when data size is below 10¹⁰. In this work, an improved statistical fluctuation analysis method is applied for the first time to two decoy-states phase-matching quantum key distribution, offering a new insight and potential solutions for improving the key generation rate and the maximum transmission distance while maintaining security. Moreover, we also compare the influence of the proposed improved statistical fluctuation analysis method on system performance with those of the Gaussian approximation and Chernoff-Hoeffding boundary methods on system performance. The simulation results show that the proposed scheme significantly improves the key generation rate and maximum transmission distance in comparison with the Chernoff-Hoeffding approach, and approach the results obtained when the Gaussian approximation is employed. At the same time, the proposed scheme retains the same security level as the Chernoff-Hoeffding method, and is even more secure than the Gaussian approximation.

Key words: quantum key distribution, phase matching protocol, statistical fluctuation analysis, decoy state

中图分类号: (Quantum cryptography and communication security)

03.67.Dd

03.67.Ac (Quantum algorithms, protocols, and simulations) 03.67.Hk (Quantum communication) 42.50.Ex (Optical implementations of quantum information processing and transfer)

Jiang-Ping Zhou(周江平), Yuan-Yuan Zhou(周媛媛), Xue-Jun Zhou(周学军), and Xuan Bao(暴轩). Improved statistical fluctuation analysis for two decoy-states phase-matching quantum key distribution[J]. 中国物理B, 2023, 32(8): 80306-080306.

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Improved statistical fluctuation analysis for two decoy-states phase-matching quantum key distribution

Improved statistical fluctuation analysis for two decoy-states phase-matching quantum key distribution

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