基于量子中心的测量型量子保密求和协议

doi:10.3969/j.issn.1007-5461.2023.01.012

量子电子学报 ›› 2023, Vol. 40 ›› Issue (1): 104-111.doi: 10.3969/j.issn.1007-5461.2023.01.012

基于量子中心的测量型量子保密求和协议

王跃1,3 , 张可佳1,2,3∗ , 韩睿1,3

( 1 黑龙江大学数学科学学院, 黑龙江哈尔滨 150080; 2 黑龙江大学黑龙江省复杂系统与计算重点实验室, 黑龙江哈尔滨 150080; 3 黑龙江大学密码与网络安全研究院, 黑龙江哈尔滨 150080 )

收稿日期:2021-05-12 修回日期:2021-10-04 出版日期:2023-01-28 发布日期:2023-01-28
通讯作者: E-mail: zhangkejia.bupt@gmail.com E-mail:E-mail: zhangkejia.bupt@gmail.com
作者简介:王跃 ( 1996 - ), 女, 黑龙江哈尔滨人, 研究生, 主要从事量子密码及量子计算方面的研究。 E-mail: hljyue1007@163.com
基金资助:
国家自然科学基金 (61802118), 黑龙江省自然科学基金 (YQ2020F013), 黑龙江省高校青年创新人才培养计划 (UNPYSCT-2018015)

Measurement type quantum secure summation protocol based on quantum center

WANG Yue 1,3 , ZHANG Kejia 1,2,3∗ , HAN Rui 1,3

( 1 School of Mathematical Sciences, Heilongjiang University, Harbin 150080, China; 2 Heilongjiang Provincial Key Laboratory of the Theory and Computation of Complex Systems, Heilongjiang University, Harbin 150080, China; 3 Institute for Cryptology and Network Security, Heilongjiang University, Harbin 150080, China )

Received:2021-05-12 Revised:2021-10-04 Published:2023-01-28 Online:2023-01-28

摘要/Abstract

摘要： 量子保密求和是量子安全计算的基础, 目的是在保护参与者私有信息的前提下求出参与者秘密信息的和。提出一个基于 GHZ 类态的三方量子保密求和协议, 其中只有量子中心拥有全量子能力, 其余参与者只能对接收的量子态进行反射或测量。理论分析表明, 所提出的协议可以确保正确性, 即多个参与者最后可以成功计算他们秘密的和; 同时, 该协议还可以抵抗参与者攻击和外部攻击, 即无论是外部攻击者还是内部参与者都不能获得除自己的秘密与结果之外的任何信息。最后, 进一步讨论了如何将协议的参与者由三方拓展至多方。

关键词: 量子通信, 量子安全多方计算, 量子保密求和, 量子中心, GHZ 类态

Abstract: Quantum secure summation is the basis of quantum secure computation, which aims to compute the sum of participants ′ secrets on the premise of protecting the participants ′ private information. A three-party quantum secure summation protocol based on GHZ-like states is proposed, in which only quantum center has full quantum capabilities, and the other participants can only reﬂect or measure the received quantum states. Theoretical analysis shows that the proposed protocol can ensure correctness, that is, multi-party can ﬁnally successfully calculate the sum of their secrets. At the same time, the protocol can also resist participant attacks and external attacks, that is, neither external attackers nor internal participants can obtain any information except their own secrets and results. Finally, how to expand the participants of the agreement from three-party to multi-party is further discussed.

Key words: quantum communication, quantum secure multiparty computation, quantum secure summation; quantum center, GHZ-like states

中图分类号:

O236.2

王跃, 张可佳, ∗, 韩睿. 基于量子中心的测量型量子保密求和协议[J]. 量子电子学报, 2023, 40(1): 104-111.

WANG Yue , , ZHANG Kejia , ∗ , HAN Rui , . Measurement type quantum secure summation protocol based on quantum center[J]. Chinese Journal of Quantum Electronics, 2023, 40(1): 104-111.

参考文献

[1] Shor, P W. Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer [J]. SIAM Journal on Computing, 1997, 26(5): 1484–1509.
[2] Grover, L K. A fast quantum mechanical algorithm for database search [C]. Twenty-eighth Amc Symposium on Theory of Computing, Philadelphia PA USA: STOC, 1996: 212–219.
[3] Bennett C, Brassard G. Quantum Cryptography: Public Key Distribution and Coin Tossing [C]. Theory Computer Science, Bangalore India: IEEE, 1984: 175-179.
[4] Lo H K, Ma X F, Chen K. Decoy state quantum key distribution [J]. Physical Review Letters, 2005, 94(23): 230504.
[5] Horikiri T, Kobayashi T. Decoy state quantum key distribution with a photon number resolved heralded single photon source [J]. Physical Review A, 2006, 73(3): 032331.
[6] Crepeau C, Gottesman D, Smith A. Secure multi-party quantum computation [C]. Symposium on the Theory of Computing, Montreal QC Canada: ACM, 2002: 643-652.
[7] Unruh D. Universally composable quantum multi-party computation [C]. Annual International Conference on the Theory and Applica-tion of Cryptographic Techniques, French Riviera: AIC, 2002: 486-505.
[8] Ben M, Crépeau C, Gottesman D, Hassidim A, Smith A. Secure Multiparty Quantum Computation with (Only) a Strict Honest Major-ity [C]. Symposium on Foundations of Computer Science, Berkeley California USA: IEEE, 2006: 249-260.
[9] Heinrich S. Quantum summation with an application to integration [J]. Journal of Complexity, 2002, 18(1): 1–50.
[10] 杜建忠, 陈秀波, 温巧燕, 朱甫臣. 保密多方量子求和 [J]. 物理学报, 2007, 56(11): 6214-6219.
[11] Chen X B, Xu G, Yang Y, Wen Q Y. An Efficient Protocol for the Secure Multi-party Quantum Summation [J]. International Journal of Theoretical Physics, 2010, 49(11): 2793-2804.
[12] Zhang C, Sun Z W, Huang Y. High-capacity quantum summation with single photons in both polarization and spatial-mode degrees of freedom [J]. International Journal of Theoretical Physics, 2014, 53(3): 933-941.
[13] Gu J, Hwang T, Tsai C. Improving the Security of ‘High-Capacity Quantum Summation with Single Photons in both Polarization and Spatial-Mode Degrees of Freedom’ [J]. International Journal of Theoretical Physics, 2019, 58: 2213-2217.
[14] Zhang C, Sun Z W, Huang X, et al. Three-party quantum summation without a trusted third party [J]. International Journal of Quantum Information, 2015, 13(2): 1550011.
[15] Shi R H, Mu Y, Zhong H, Cui J, Zhang S. Secure multiparty quantum computation for summation and multiplication [J]. Scientific Reports, 2016, 6: 19655.
[16] Liu W, Wang Y B, Fan W Q. An novel protocol for the quantum secure multiparty summation based on two-particle Bell states [J]. International Journal of Theoretical Physics, 2017, 56(9): 2783-2791.
[17] Zhang C, Huang Q, Yang P. Multi-party quantum summation without a trusted third party based on single particles [J]. International Journal of Quantum Information, 2017, 15(2): 1750010.
[18] Yang H Y, Ye T Y. Secure multi-party quantum summation based on quantum Fourier transform [J]. Quantum Information Processing. 2018, 17(5): 129.
[19] Zhang C, Razavi M, Sun Z. et al. Improvements on “Secure multi-party quantum summation based on quantum Fourier transform” [J]. Quantum Information Process, 2019, 18: 336.
[20] Ji Z X, Zhang H G, Wang H Z. Quantum protocols for secure multi-party summation [J]. Quantum Information Processing, 2019, 18(6): 168.
[21] Gan Z G. Improvement of Quantum Protocols for Secure Multi-Party Summation [J]. International Journal of Theoretical Physics, 2020, 59: 3086-3092.
[22] Lv S X, Jiao X F, Zhou P. Multiparty Quantum Computation for Summation and Multiplication with Mutually Unbiased Bases [J]. International Journal of Theoretical Physics, 2019, 58(9): 1-11.
[23] Duan M Y. Multi-Party Quantum Summation within a d-Level Quantum System [J]. International Journal of Theoretical Physics, 2020, 59: 1638–1643.
[24] 叶天语, 胡家莉. 基于d级量子系统相互无偏基的量子安全多方求和及其应用 [J]. 中国科学:物理学力学天文学, 2021, 51(02): 88-95.
[25] Boyer M, Kenigsberg D, Tal M. Quantum Key Distribution with Classical Bob [J]. Physical Review Letters, 2007, 99(14): 140501.

基于量子中心的测量型量子保密求和协议

Measurement type quantum secure summation protocol based on quantum center

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