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Chin. Phys. B, 2026, Vol. 35(4): 040302    DOI: 10.1088/1674-1056/ae181a
SPECIAL TOPIC — Quantum communication and quantum network Prev   Next  

Continuous-variable quantum secure direct communication with one-time pad

Yi-Yu Mao(毛宜钰)1, Chang-Hua Hu(胡昌华)2, Wen-Ti Huang(黄文体)3, Wei Zhao(赵微)4, and Lei Chen(陈磊)5,†
1 School of Physics and Electronic Science, Changsha University of Science and Technology, Changsha 410114, China;
2 School of Computer Science and Technology, Changsha University of Science and Technology, Changsha 410114, China;
3 School of Computer Science and Engineering, Hunan University of Science and Technology, Xiangtan 411201, China;
4 Shandong Computer Science Center (National Supercomputer Center in Jinan), Qilu University of Technology (Shandong Academy of Sciences), Jinan 250316, China;
5 PT. Sinotrans CSC Indonesia, Jakarta 12940, Indonesia
Abstract  Quantum secure direct communication (QSDC) enables the direct transmission of secret messages over a quantum channel without prior key sharing. QSDC implemented in the continuous-variable (CV) regime allows high-capacity information transmission using simple optical communication technologies. In this work, we propose a novel CV-QSDC protocol with a quantum one-time pad, which achieves secure message transmission based on coherent states and unitary operations, and the receiver can directly obtain the secret messages after measuring the coherent states. The security of this protocol is jointly guaranteed by one-time pad encryption and a CV quantum key distribution (QKD) protocol. Performance analysis shows that the proposed scheme can achieve a quantum bit error rate (QBER) lower than 1% by adjusting the modulation variance and unitary operation parameters. With the optimal modulation variance, the secure transmission distance of the proposed protocol can exceed 150 km.
Keywords:  quantum secure direct communication      quantum-one-time pad      continuous-variable  
Received:  12 August 2025      Revised:  27 October 2025      Accepted manuscript online:  28 October 2025
PACS:  03.67.Hk (Quantum communication)  
  03.67.Dd (Quantum cryptography and communication security)  
Fund: This work is supported by the National Natural Science Foundation of China (Grant Nos. 62402178 and 62501084), the Shandong Provincial Natural Science Foundation (Grant No. ZR2024QF285), and the Qilu University of Technology (Shandong Academy of Sciences) Major Project (Grant No. 2025ZDZX02).
Corresponding Authors:  Lei Chen     E-mail:  chenlei2025@foxmail.com

Cite this article: 

Yi-Yu Mao(毛宜钰), Chang-Hua Hu(胡昌华), Wen-Ti Huang(黄文体), Wei Zhao(赵微), and Lei Chen(陈磊) Continuous-variable quantum secure direct communication with one-time pad 2026 Chin. Phys. B 35 040302

[1] Long G L and Liu X S 2002 Phys. Rev. A 65 032302
[2] Deng F G, Long G L and Liu X S 2003 Phys. Rev. A 68 042317
[3] Deng F G and Long G L 2004 Phys. Rev. A 69 052319
[4] Wang C, Deng F G and Long G L 2005 Opt. Commun. 253 15
[5] Wang C, Deng F G, Li Y S, Liu X S and Long G L 2005 Phys. Rev. A 71 044305
[6] Wang T J, Li T, Du F F and Deng F G 2011 Chin. Phys. Lett. 28 040305
[7] Zhang L L, Zhan Y B and Zhang Q Y 2009 Int. J. Theor. Phys. 48 2971
[8] Zhou Z R, Sheng Y B, Niu P H, Yin L G, Long G L and Hanzo L 2020 Sci. China Phys. Mech. Astron. 63 230362
[9] Ying J W, Zhou L, Zhong W and Sheng Y B 2022 Chin. Phys. B 31 120303
[10] Sheng Y B, Zhou L and Long G L 2022 Sci. Bull. 67 367
[11] Ying J W, Zhao P, Zhong W, Du M M, Li X Y, Shen S T, Zhang A L, Zhou L and Sheng Y B 2024 Phys. Rev. Appl. 22 024040
[12] Ying JW,Wang J Y, Xiao Y X, Gu S P,Wang X F, ZhongW, Du M M, Li X Y, Shen S T, Zhang A L, Zhou L and Sheng Y B 2025 Sci. China Phys. Mech. Astron. 68 240312
[13] Ding CW,WangWY, ZhangWD, Zhou L and Sheng Y B 2025 Appl. Phys. Lett. 126 024002
[14] Zhou L, Sheng Y B and Long G L 2020 Sci. Bull. 65 12
[15] Zeng H, Du M M, Zhong W, Zhou L and Sheng Y B 2023 Fund. Res. 4 851
[16] Zhao P, ZhongW, DuMM, Li X Y, Zhou L and Sheng Y B 2024 Front. Phys. 19 51201
[17] Hu J Y, Yu B, Jing M Y, Xiao L T, Jia S T, Qin G Q and Long G L 2016 Light Sci. Appl. 5 e16144
[18] Zhang W, Ding D S, Sheng Y B, Zhou L, Shi B S and Guo G C 2017 Phys. Rev. Lett. 118 220501
[19] Zhu F, Zhang W, Sheng Y B and Huang Y D 2017 Sci. Bull. 62 1519
[20] Qi R Y, Long G L, Sun Z, Lin Z S, Niu P H, HaoWT, Song L Y, Huang Q, Gao J C and Yin L G 2019 Light Sci. Appl. 8 22
[21] Zhang H R, Sun Z, Qi R Y, Yin L G, Long G L and Lu J H 2022 Light Sci. Appl. 11 83
[22] Qi Z T, Li Y H, Huang Y W, Feng J, Zheng Y L and Chen X F 2021 Light Sci. Appl. 10 183
[23] Yang Y L, Li Y H, Li H, Wu C N, Zheng Y L and Chen X F 2025 Sci. Bull. 70 1445
[24] Bennett C H and Brassard G 1984 Proceedings of the IEEE International Conference on Computers, Systems, and Signal Processing, 1984 Bangalore, India, pp. 175-179
[25] Lo H K, Ma X F and Chen K 2005 Phys. Rev. Lett. 94 230504
[26] Chen Y A, Zhang Q, Chen T Y, et al. 2021 Nature 589 214
[27] Grosshans F and Grangier P 2002 Phys. Rev. Lett. 88 057902
[28] Huang D, Huang P, Lin D K and Zeng G H 2016 Sci. Rep. 6 19201
[29] Zhang Y C, Chen Z Y, Pirandola S, et al. 2020 Phys. Rev. Lett. 125 010502
[30] Pirandola S, Braunstein S L, Mancini S and Lloyd S 2008 Europhys. Lett. 84 20013
[31] Han L F, Chen Y M and Yuan H 2009 Commun. Theor. Phys. 51 648
[32] Yuan H, Zhou J, Zhang G, Yang H and Xing L L 2012 Int. J. Theor. Phys. 51 3443
[33] Chai G, Cao ZW, LiuWQ, ZhangM H, Liang K X and Peng J Y 2019 Laser Phys. Lett. 16 095207
[34] Cao Z W, Wang L, Liang K X, Chai G and Peng J Y 2021 Phys. Rev. Appl. 16 024012
[35] Wang L, Chai G, Cao Z W, Chen X L and Liang K X 2025 Quant. Inf. Process. 24 214
[36] Cao Z W, Zhang Y J, Chai G, Liang Z T, Chen X L, Wang L and Wang Y J 2025 Chin. Phys. B 34 030303
[37] Cao Z W, Wang Y J, Chai G, Chen X L and Lu Y 2025 Chin. Phys. B 34 020308
[38] Cao Z W, Lu Y, Chai G, Yu H, Liang K X and Wang L 2023 Research 6 0193
[39] Paparella I, Mousavi F, Scazza F, Bassi A, Paris M and Zavatta A 2025 Opt. Express 33 28917
[40] Zhou N R, Song H C and Gong L H 2013 Int. J. Theor. Phys. 52 4174
[41] Qin H, Kumar R and Alléaume R 2016 Phys. Rev. A 94 012325
[42] Qin H, Kumar R, Makarov V and All eaume R 2018 Phys. Rev. A 98 012312
[43] Pan D, Long G L, Yin L G, Sheng Y B, Ruan D, Ng S X, Lu J H and Hanzo L 2024 IEEE Commun. Surv. Tutor. 26 1898
[44] Marcos C, Maciej L and Norbert L 2004 Phys. Rev. Lett. 92 217903
[45] Jain N, Chin H M, Mani H, Lupo C, Nikolic D S, Kordts A, Pirandola S, Pedersen T B, Kolb M, Ö mer B, Pacher C, Gehring T and Andersen U L 2022 Nat. Commun. 13 4740
[46] Anthony L 2017 Phys. Rev. Lett. 118 200501
[47] Huang P, Wang T, Chen R, Wang P, Zhou Y M and Zeng G H 2021 New J. Phys. 23 113028
[48] nag Oruganti A, Derkach I, Filip R and Usenko V C 2025 Quantum Sci. Technol. 10 025023
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