-
本文深入研究了一维高斯调制连续变量量子密钥分发系统在源强度误差下的现实安全性和性能表现。详细分析了源强度误差对协议参数估计过程的影响机制,并基于发送端的三种现实假设,提出相应数据优化方案,以减轻源强度误差的负面影响。同时,综合考虑了源强度误差及有限码长效应,以保障系统的现实安全性。研究结果表明,源强度误差不可忽视,对于显著的强度波动,系统的最大传输距离将减少约20公里。因此,在协议的实际实施过程中,必须充分考虑源强度误差的影响,并采取相应的措施来减少或消除这些误差。本研究为现实条件下实施一维高斯调制连续变量量子密钥分发提供了理论依据,为构建高效、低成本、小型化的量子通信网络探索了新方向。
-
关键词:
- 连续变量量子密钥分发 /
- 一维调制 /
- 源误差 /
- 现实安全性
Unidimensional Gaussian modulation continuous-variable quantum key distribution (UD CV-QKD) uses only one modulator to encode information, which has the advantages of low implementation cost and low random number consumption, and is attractive for the future construction of miniaturized and low-cost large-scale quantum communication networks. However, in the actual application of the protocol, the intensity fluctuation of the source pulsed light, device defects, and external environmental interference maybe lead to the generation of source intensity errors, which affect the realistic security and performance of the protocol. To address this problem, this paper deeply studies the security and performance of UD CV-QKD under source intensity errors. The influence mechanism of source intensity errors on the protocol parameter estimation process is analyzed. To enable the protocol to operate stably under various realistic conditions and ensure communication security, this paper makes three practical assumptions about the sender’s abilities, and proposes corresponding data optimization processing schemes for these assumptions to reduce the negative impact of source intensity errors. Additionally, both source errors and finite-size effect are comprehensively considered to ensure the realistic security of the system. The simulation results indicate that source intensity errors cannot be neglected and the maximum transmission distance of the system will be reduced by approximately 20 kilometers for significant intensity fluctuations. Therefore, in the practical implementation of the protocol, the impact of source intensity errors must be fully considered, and the corresponding countermeasures should be taken to reduce or eliminate these errors. This study provides theoretical guidance for the secure implementation of UD CV-QKD in real-world environments.-
Keywords:
- Continuous-Variable Quantum Key Distribution /
- Unidimensional Modulation /
- Source Errors /
- Realistic Security
-
[1] Bennett C H, Brassard G IEEE international Conference on Computers, Systems and Signal Processing IEEE, 01/01 p175-179
[2] Gisin N, Ribordy G, Tittel W, Zbinden H 2002 Rev. Mod. Phys. 74 145
[3] Lo H K, Curty M, Tamaki K 2014 Nat. Photonics 8 595
[4] Bennett C H, Bessette F, Brassard G, Salvail L, Smolin J 1992 J. Cryptology 5 3
[5] Chen Y A, Zhang Q, Chen T Y, Cai W Q, Liao S K, Zhang J, Chen K, Yin J, Ren J G, Chen Z, Han S L, Yu Q, Liang K, Zhou F, Yuan X, Zhao M S, Wang T Y, Jiang X, Zhang L, Liu W Y, Li Y, Shen Q, Cao Y, Lu C Y, Shu R, Wang J Y, Li L, Liu N L, Xu F, Wang X B, Peng C Z, Pan J W 2021 Nature 589 214
[6] Xu F H, Ma X F, Zhang Q, Lo H K, Pan J W 2020 Rev. Mod. Phys. 92 025002
[7] Pirandola S, Andersen U L, Banchi L, Berta M, Bunandar D, Colbeck R, Englund D, Gehring T, Lupo C, Ottaviani C, Pereira J L, Razavi M, Shamsul Shaari J, Tomamichel M, Usenko V C, Vallone G, Villoresi P, Wallden P 2020 Adv. Opt. Photon. 12 1012
[8] Portmann C, Renner R 2022 Rev. Mod. Phys. 94 025008
[9] Diamanti E, Leverrier A 2015 Entropy 17 6072
[10] Li Y M, Wang X Y, Bai Z L, Liu W Y, Yang S S, Peng K C 2017 Chin. Phys. B 26 040303
[11] Guo H, Li Z Y, Yu S, Zhang Y C 2021 Fundam. Res. 1 96
[12] Zhang Y C, Bian Y M, Li Z Y, Yu S, Guo H 2024 Appl. Phys. Rev. 11 011318
[13] Lin J, Upadhyaya T, Lütkenhaus N 2019 Phys. Rev. X 9 041064
[14] Du S N, Tian Y, Li Y M 2020 Phys. Rev. Appl. 14 024013
[15] Li L, Huang P, Wang T, Zeng G H 2021 Phys. Rev. A 103 032611
[16] Liao Q, Wang Z, Liu H J, Mao Y Y, Fu X Q 2022 Phys. Rev. A 106 022607
[17] Liu J Q, Cao Y X, Wang P, Liu S S, Lu Z G, Wang X Y, Li Y M 2022 Opt. Express 30 27912
[18] Wu X D, Huang D, Huang P, Guo Y 2022 Acta Phys. Sin. 71 240304 (in Chinese) [吴晓东, 黄端, 黄鹏, 郭迎 2022 71 240304]
[19] Liao Q, Liu H J, Wang Z, Zhu L J 2023 Acta Phys. Sin. 72 040301 (in Chinese) [廖骎, 柳海杰, 王铮, 朱凌瑾 2023 72 040301]
[20] Huang L Y, Wang X Y, Chen Z Y, Sun Y H, Yu S, Guo H 2023 Phys. Rev. Appl. 19 014023
[21] Zapatero V, van Leent T, Arnon-Friedman R, Liu W Z, Zhang Q, Weinfurter H, Curty M 2023 npj Quantum Inform. 9 10
[22] Xu Y H, Wang T, Liao X J, Zhou Y M, Huang P, Zeng G H 2024 Photonics Res. 12 2549
[23] Fletcher A I, Harney C, Ghalaii M, Papanastasiou P, Mountogiannakis A, Spedalieri G, Hajomer A A E, Gehring T, Pirandola S 2025 arXiv:2501.09818 [quant-ph]
[24] Wang P, Wang X Y, Li Y M 2019 Phys. Rev. A 99 042309
[25] Zhang Y C, Chen Z Y, Pirandola S, Wang X Y, Zhou C, Chu B J, Zhao Y J, Xu B J, Yu S, Guo H 2020 Phys. Rev. Lett. 125 010502
[26] Dequal D, Trigo Vidarte L, Roman Rodriguez V, Vallone G, Villoresi P, Leverrier A, Diamanti E 2021 npj Quantum Inform. 7 3
[27] Jeong S, Jung H, Ha J 2022 npj Quantum Inform. 8 6
[28] Ma L, Yang J, Zhang T, Shao Y, Liu J L, Luo Y J, Wang H, Huang W, Fan F, Zhou C, Zhang L L, Zhang S, Zhang Y C, Li Y, Xu B J 2023 Sci. China Inf. Sci. 66 180507
[29] Pi Y D, Wang H, Pan Y, Shao Y, Li Y, Yang J, Zhang Y C, Huang W, Xu B J 2023 Opt. Lett. 48 1766
[30] Wang P, Zhang Y, Lu Z G, Wang X Y, Li Y M 2023 New J. Phys. 25 023019
[31] Yang S S, Yan Z L, Yang H Z, Lu Q, Lu Z G, Cheng L Y, Miao X Y, Li Y M 2023 EPJ Quantum Technol. 10 40
[32] Chen Z Y, Wang X Y, Yu S, Li Z Y, Guo H 2023 npj Quantum Inform. 9 28
[33] Hajomer A A E, Derkach I, Jain N, Chin H-M, Andersen U L, Gehring T 2024 Sci. Adv.10 eadi9474
[34] Zhang G, Haw J Y, Cai H, Xu F, Assad S M, Fitzsimons J F, Zhou X, Zhang Y, Yu S, Wu J, Ser W, Kwek L C, Liu A Q 2019 Nat. Photonics 13 839
[35] Qi B, Gunther H, Evans P G, Williams B P, Camacho R M, Peters N A 2020 Phys. Rev. Appl.13 054065
[36] Milovančev D, Vokić N, Laudenbach F, Pacher C, Hübel H, Schrenk B 2021 J. Lightw. Technol. 39 3445
[37] Tian Y, Wang P, Liu J Q, Du S N, Liu W Y, Lu Z G, Wang X Y, Li Y M 2022 Optica 9 492
[38] Du S N, Wang P, Liu J Q, Tian Y, Li Y M 2023 Photonics Res. 11 463
[39] Wang X Y, Chen Z Y, Li Z H, Qi D K, Yu S, Guo H 2023 Opt. Lett. 48 3327
[40] Zhang M Q, Huang P, Wang P, Wei S R, Zeng G H 2023 Opt. Lett. 48 1184
[41] Hajomer A A E, Bruynsteen C, Derkach I, Jain N, Bomhals A, Bastiaens S, Andersen U L, Yin X, Gehring T 2024 Optica 11 1197
[42] Hajomer A A E, Derkach I, Filip R, Andersen U L, C. Usenko V, Gehring T 2024 Light Sci. Appl. 13 291
[43] Ji F Y, Huang P, Wang T, Jiang X Q, Zeng G H 2024 Photonics Res. 12 1485
[44] Usenko V C, Grosshans F 2015 Phys. Rev. A 92 062337
[45] Wang P, Wang X Y, Li J Q, Li Y M 2017 Opt. Express 25 27995
[46] Wang X Y, Liu W Y, Wang P, Li Y M 2017 Phys. Rev. A 95 062330
[47] Jacobsen C S, Madsen L S, Usenko V C, Filip R, Andersen U L 2018 npj Quantum Inform.4 32
[48] Liao Q, Guo Y, Xie C L, Huang D, Huang P, Zeng G H 2018 Quantum Inf. Process. 17 113
[49] Usenko V C 2018 Phys. Rev. A 98 032321
[50] Wang P, Wang X Y, Li Y M 2018 Entropy 20 157
[51] Wang X Y, Cao Y X, Wang P, Li Y M 2018 Quantum Inf. Process. 17 344
[52] Bai D Y, Huang P, Zhu Y Q, Ma H X, Xiao T L, Wang T, Zeng G H 2019 Quantum Inf. Process. 19 53
[53] Shen S Y, Dai M W, Zheng X T, Sun Q Y, Guo G C, Han Z F 2019 Phys. Rev. A 100 012325
[54] Zhang H, Ruan X C, Wu X D, Zhang L, Guo Y, Huang D 2019 Quantum Inf. Process. 18 128
[55] Zhao W, Shi R H, Feng Y Y, Huang D 2020 Phys. Lett. A 384 126061
[56] Zhou K L, Chen Z Y, Guo Y, Liao Q 2020 Phys. Lett. A 384 126074
[57] Bian Y M, Huang L Y, Zhang Y C 2021 Entropy 23 294
[58] Hu J K, Liao Q, Mao Y, Guo Y 2021 Quantum Inf. Process. 20 31
[59] Zhao W, Shi R H, Wu X M, Wang F Q, Ruan X C 2023 Opt. Express 31 17003
[60] Li Y Y, Wang T Y 2024 J. Phys. B: At. Mol. Opt. Phys. 57 145502
[61] Zhao R B, Zhou J, Shi R H, Shi J J 2024 Ann. Phys. 536 2300401
[62] Zheng Y, Huang P, Huang A Q, Peng J Y, Zeng G H 2019 Opt. Express 27 27369
[63] Zheng Y, Huang P, Huang A Q, Peng J Y, Zeng G H 2019 Phys. Rev. A 100 012313
[64] Wang P, Wang X Y, Li Y M 2020 Phys. Rev. A 102 022609
[65] Li C Y, Qian L, Lo H K 2021 npj Quantum Inform. 7 150
[66] Serafini A, Paris M G A, Illuminati F, Siena S D 2005 J. Opt. B 7 R19
计量
- 文章访问数: 96
- PDF下载量: 5
- 被引次数: 0