An efficient multiparty quantum secret sharing scheme using a single qudit

doi:10.1088/1674-1056/aca391

中国物理B ›› 2023, Vol. 32 ›› Issue (8): 80303-080303.doi: 10.1088/1674-1056/aca391

An efficient multiparty quantum secret sharing scheme using a single qudit

Wenwen Hu(胡文文)^1,†, Bangshu Xiong(熊邦书)², and Rigui Zhou(周日贵)³

1. School of Information Engineering, Nanchang Hangkong University, Nanchang 330063, China;
2. Key Laboratory of Image Processing and Pattern Recognition of Jiangxi Province, Nanchang Hangkong University, Nanchang 330063, China;
3. College of Information Engineering, Shanghai Maritime University, Shanghai 201306, China

收稿日期:2022-07-04 修回日期:2022-11-07 接受日期:2022-11-17 发布日期:2023-07-27
通讯作者: Wenwen Hu E-mail:71141@nchu.edu.cn
基金资助:
Project supported by the Doctoral Funding of Nanchang Hangkong University (Grant No.EA202204231); the National Natural Science Foundation of China (Grant Nos.61866027 and 6217070290); the Key research project of Jiangxi Province (Grant No.20212BBE53017); and the Shanghai Science and Technology Project(Grant Nos.21JC1402800 and 20040501500).

An efficient multiparty quantum secret sharing scheme using a single qudit

Wenwen Hu(胡文文)^1,†, Bangshu Xiong(熊邦书)², and Rigui Zhou(周日贵)³

1. School of Information Engineering, Nanchang Hangkong University, Nanchang 330063, China;
2. Key Laboratory of Image Processing and Pattern Recognition of Jiangxi Province, Nanchang Hangkong University, Nanchang 330063, China;
3. College of Information Engineering, Shanghai Maritime University, Shanghai 201306, China

Received:2022-07-04 Revised:2022-11-07 Accepted:2022-11-17 Published:2023-07-27
Contact: Wenwen Hu E-mail:71141@nchu.edu.cn
Supported by:
Project supported by the Doctoral Funding of Nanchang Hangkong University (Grant No.EA202204231); the National Natural Science Foundation of China (Grant Nos.61866027 and 6217070290); the Key research project of Jiangxi Province (Grant No.20212BBE53017); and the Shanghai Science and Technology Project(Grant Nos.21JC1402800 and 20040501500).

摘要/Abstract

摘要： The aim of quantum secret sharing, as one of most promising components of quantum cryptograph, is one-to-multiparty secret communication based on the principles of quantum mechanics. In this paper, an efficient multiparty quantum secret sharing protocol in a high-dimensional quantum system using a single qudit is proposed. Each participant's shadow is encoded on a single qudit via a measuring basis encryption method, which avoids the waste of qudits caused by basis reconciliation. Security analysis indicates that the proposed protocol is immune to general attacks, such as the measure-resend attack, entangle-and-measure attack and Trojan horse attack. Compared to former protocols, the proposed protocol only needs to perform the single-qudit measurement operation, and can share the predetermined dits instead of random bits or dits.

关键词: quantum secret sharing, high-dimensional, measurement basis encrypted, security analysis

Abstract: The aim of quantum secret sharing, as one of most promising components of quantum cryptograph, is one-to-multiparty secret communication based on the principles of quantum mechanics. In this paper, an efficient multiparty quantum secret sharing protocol in a high-dimensional quantum system using a single qudit is proposed. Each participant's shadow is encoded on a single qudit via a measuring basis encryption method, which avoids the waste of qudits caused by basis reconciliation. Security analysis indicates that the proposed protocol is immune to general attacks, such as the measure-resend attack, entangle-and-measure attack and Trojan horse attack. Compared to former protocols, the proposed protocol only needs to perform the single-qudit measurement operation, and can share the predetermined dits instead of random bits or dits.

Key words: quantum secret sharing, high-dimensional, measurement basis encrypted, security analysis

中图分类号: (Quantum information)

03.67.-a

03.67.Ac (Quantum algorithms, protocols, and simulations) 03.67.Hk (Quantum communication)

Wenwen Hu(胡文文), Bangshu Xiong(熊邦书), and Rigui Zhou(周日贵). An efficient multiparty quantum secret sharing scheme using a single qudit[J]. 中国物理B, 2023, 32(8): 80303-080303.

Wenwen Hu(胡文文), Bangshu Xiong(熊邦书), and Rigui Zhou(周日贵). An efficient multiparty quantum secret sharing scheme using a single qudit[J]. Chin. Phys. B, 2023, 32(8): 80303-080303.

参考文献

[1] Shor P 1994 Proceedings of the 35th Annual Symposium on Foundations of Computer Science, November 20-22 1994, Santa Fe, NM, USA, p. 124
[2] Grover L K 1996 28th Annual ACM Symposium on Theory of Computing, May 29 1996, Philadelphia, PA, USA, p. 212
[3] Bennett C H, and Brassard G 1984 IEEE International Conference on Computers, Systems and Signal Processing, December 1984, Bangalore, India, p. 175
[4] Vahid K, Alireza B and Saber B 2002 Phys. Rev. A 65 052331
[5] Xie Y M, Lu Y S, Weng C X, Cao X Y, Jia Z Y, Bao Y, Wang Y, Fu Y, Yin H L and Chen Z B 2022 PRX Quantum 3 020315
[6] Cai Q Y and Li B W 2004 Chin. Phys. Lett. 21 601
[7] Deng F G and Long G L 2004 Phys. Rev. A 69 052319
[8] Marco L and Stefano M 2005 Phys. Rev. Lett. 94 140501
[9] Bennett C H, Brassard G, Crépeau C, Jozsa R, Peres A and Wootters W K 1993 Phys. Rev. Lett. 70 1895
[10] Lance A M, Symul T, Bowen W P, Sanders B C and Ping K L 2004 Phys. Rev. Lett. 92 177903
[11] Hillery M, Bužek V and Berthiaume A 1999 Phys. Rev. A 59 1829
[12] Schmid C, Trojek P, Bourennane M, Kurtsiefer C, Zukowski M and Weinfurter H 2005 Phys. Rev. Lett. 95 230505
[13] Gu J, Cao X Y, Yin H L and Chen Z B 2021 Opt. Express 29 9165
[14] Jia Z Y, Gu J, Li B H, Yin H L and Chen Z B 2021 Entropy 23 716
[15] Jakobi M, Simon C, Gisin N, Bancal J D, Branciard C, Walenta N and Zbinden H 2011 Phys. Rev. A 83 022301
[16] Yang Y G, Liu Z C, Chen X B, Zhou Y H and Shi W M 2017 Sci. China-Phys. Mech. Astron. 60 120311
[17] Lu Y S, Cao X Y, Weng C X, Gu J, Xie Y M, Zhou M G, Yin H L and Chen Z B 2021 Opt. Express 29 10162
[18] Li Z, Cao X Y, Li C L, Weng C X, Gu J, Yin H L and Chen Z B 2021 Quantum Sci. Technol. 6 045019
[19] Shamir A 1979 Commun. ACM 22 612
[20] Blakley G R 1979 International Workshop on Managing Requirements Knowledge, 04-07 June 1979, New York, NY, USA, p. 313
[21] Cleve R, Gottesman D and Lo H K 1999 Phys. Rev. Lett. 83 648
[22] Karlsson A, Koashi M and Imoto N 1999 Phys. Rev. A 59 162
[23] Gottesman D 2000 Phys. Rev. A 61 042311
[24] Guo G P and Guo G C 2003 Phys. Lett. A 310 247
[25] Li X, Long G L and Deng F G 2004 Phys. Rev. A 69 052307
[26] Song X L, Liu Y B and Deng H Y 2017 Sci. Rep. 7 6366
[27] Kartick S and Hari O 2020 Quantum Inf. Process. 19 73
[28] Yan F L and Gao T 2005 Phys. Rev. A 72 012304
[29] Yan F L, Gao T and Li Y C 2008 Chin. Phys. Lett. 25 1187
[30] Wang M M, Chen X B and Yang Y X 2014 Quantum Inf. Process. 13 429
[31] Bai C M, Li Z H, Si M M and Li Y M 2017 Eur. Phys. J. D 71 255
[32] Yang C W and Tsai C W 2020 Quantum Inf. Process. 19 162
[33] Hu W W, Zhou R G, Li X, Fan P and Tan C Y 2021 Quantum Inf. Process. 20 159
[34] Li L Z, Qiu D W and Mateus P 2013 J. Phys. A: Math. Theor. 46 045304
[35] Hu W W, Zhou R G and Luo J 2022 Chin. J. Phys. 77 1701
[36] Fu Y, Yin H L, Chen T Y and Chen Z B 2015 Phys. Rev. Lett. 114 090501
[37] Gao Z K, Li T and Li Z H 2020 Sci. China-Phys. Mech. Astron. 63 120311
[38] Tsai C W, Yang C W and Lin J 2022 Quantum Inf. Process. 21 63
[39] Han L F, Liu Y M and Liu J 2008 Opt. Commun. 281 2690
[40] Qin H W 2016 J. Chin. Inst. Eng. 39 623
[41] Molina-Terriza G, Vaziri A, Ursin R and Zeilinger A 2005 Phys. Rev. Lett. 94 040501
[42] Inoue R, Yonehara T, Miyamoto Y, Koashi M and Kozuma M 2009 Phys. Rev. Lett. 103 110503
[43] Vahid K, Alireza B and Saber B 2002 Phys. Rev. A 65 042320
[44] Wang X, Liu Y M and Han L F 2008 Int. J. Quantum Inf. 6 1155
[45] Yang W, Huang L S and Shi R H 2013 Quantum Inf. Process. 12 2465
[46] Wang M M, Tian L T, and Qu Z G 2018 International Conference on Cloud Computing and Security, June 22-24, 2018, Haikou, Hainan, China, p. 23
[47] Mashhadi S 2019 Quantum Inf. Process. 18 11
[48] Qin H W, Tang W K S and Tso R L 2020 IEEE J. Sel. Top. Quant. 26 6600106
[49] Pittenge A O and Rubin M H 2004 Linear Algebra Appl. 390 255
[50] Boyer M, Kenigsberg D and Mor T 2007 Phys. Rev. Lett. 99 140501
[51] Deng F G, Li X H, Zhou H Y and Zhang Z J 2005 Phys. Rev. A 72 044302
[52] Cai Q Y 2006 Phys. Lett. A 351 23
[53] Fonseca A 2019 Phys. Rev. A 100 062311
[54] Bertlmann R A and Krammer P 2008 J. Phys. A 41 235303

An efficient multiparty quantum secret sharing scheme using a single qudit

An efficient multiparty quantum secret sharing scheme using a single qudit

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Ding Xing(邢丁), Yifei Wang(王艺霏), Zhao Dou(窦钊), Jian Li(李剑),Xiubo Chen(陈秀波), and Lixiang Li(李丽香). Efficient semi-quantum secret sharing protocol using single particles[J]. 中国物理B, 2023, 32(7): 70308-070308.
[2]	Yu Zhou(周雨), Chun Zhou(周淳), Yang Wang(汪洋), Yi-Fei Lu(陆宜飞), Mu-Sheng Jiang(江木生), Xiao-Xu Zhang(张晓旭), and Wan-Su Bao(鲍皖苏). Finite-key analysis of practical time-bin high-dimensional quantum key distribution with afterpulse effect[J]. 中国物理B, 2022, 31(8): 80303-080303.
[3]	Zhi-Yong Ding(丁智勇), Pan-Feng Zhou(周攀峰), Xiao-Gang Fan(范小刚),Cheng-Cheng Liu(刘程程), Juan He(何娟), and Liu Ye(叶柳). Coherence migration in high-dimensional bipartite systems[J]. 中国物理B, 2022, 31(6): 60308-060308.
[4]	Xing-Xing Ju(居星星), Wei Zhong(钟伟), Yu-Bo Sheng(盛宇波), and Lan Zhou(周澜). Measurement-device-independent quantum secret sharing with hyper-encoding[J]. 中国物理B, 2022, 31(10): 100302-100302.
[5]	郑俊, 胡汉平. A novel method of constructing high-dimensional digital chaotic systems on finite-state automata[J]. 中国物理B, 2020, 29(9): 90502-090502.
[6]	杜舸海, 李宏伟, 汪洋, 鲍皖苏. Attacking a high-dimensional quantum key distribution system with wavelength-dependent beam splitter[J]. 中国物理B, 2019, 28(9): 90301-090301.
[7]	张良, 唐驾时, 韩芩. Hopf bifurcation control of a Pan-like chaotic system[J]. 中国物理B, 2018, 27(9): 94702-094702.
[8]	杜宇韬, 鲍皖苏. Dynamic quantum secret sharing protocol based on two-particle transform of Bell states[J]. 中国物理B, 2018, 27(8): 80304-080304.
[9]	包海泽, 鲍皖苏, 汪洋, 陈瑞柯, 马鸿鑫, 周淳, 李宏伟. Time-energy high-dimensional one-side device-independent quantum key distribution[J]. 中国物理B, 2017, 26(5): 50302-050302.
[10]	詹佑邦, 李晓薇, 马鹏程, 施锦. Controlled remote implementation of quantum operations with high-dimensional systems[J]. Chin. Phys. B, 2013, 22(4): 40306-040306.
[11]	朱珍超, 张玉清, 付安民. Cryptanalysis and improvement of a quantum secret sharing scheme based on χ-type entangled states[J]. 中国物理B, 2012, 21(1): 10307-010307.
[12]	张祖荣, 刘伟涛, 李承祖. Quantum secret sharing based on quantum error-correcting codes[J]. 中国物理B, 2011, 20(5): 50309-050309.
[13]	朱珍超, 张玉清, 付安民. Efficient quantum secret sharing scheme with two-particle entangled states[J]. 中国物理B, 2011, 20(4): 40306-040306.
[14]	詹佑邦, 张群永, 施锦. Probabilistic joint remote preparation of a high-dimensional equatorial quantum state[J]. 中国物理B, 2010, 19(8): 80310-080310.
[15]	杨宇光, 曹卫锋, 温巧燕. Three-party quantum secret sharing of secure direct communication based on χ-type entangled states[J]. 中国物理B, 2010, 19(5): 50306-050306.