N 个接收方的同时密集编码协议

doi:10.3969/j.issn.1007-5461.2024.02.016

量子电子学报 ›› 2024, Vol. 41 ›› Issue (2): 340-348.doi: 10.3969/j.issn.1007-5461.2024.02.016

N 个接收方的同时密集编码协议

程登翔 1,2,3, 杨振 1,2,3, 谢佳欣 1,2,3, 柏明强 1,2,3*, 莫智文 1,2,3

( 1 四川师范大学智能信息和量子信息研究所, 四川成都 610066; 2 系统可信性自动验证国家地方联合工程实验室四川师范大学研究中心, 四川成都 610066; 3 四川师范大学数学科学学院, 四川成都 610066 )

收稿日期:2022-05-18 修回日期:2022-06-30 出版日期:2024-03-28 发布日期:2024-03-28
通讯作者: E-mail: baimq@sicnu.edu.cn E-mail:E-mail: baimq@sicnu.edu.cn
作者简介:程登翔 ( 1997 - ), 四川自贡人, 研究生, 主要从事不确定性数学理论及量子信息与计算方面的研究。E-mail: 351617417@qq.com
基金资助:
国家自然科学基金 (11671284), 四川省自然科学基金 (2022NSFSC0534), 四川省科技计划 (2020YFG0290)

Simultaneous dense coding protocol for N receivers

CHENG Dengxiang 1, 2, 3, YANG Zhen 1, 2, 3, XIE Jiaxin 1, 2, 3, BAI Mingqiang 1, 2, 3*, MO Zhiwen 1, 2, 3

( 1 Institute of Intelligent Information and Quantum Information, Sichuan Normal University, Chengdu 610066, China; 2 National-Local Joint Engineering Laboratory of System Credibility Automatic Verification, Research Center of Sichuan Normal University, Chengdu 610066, China; 3 School of Mathematical Sciences, Sichuan Normal University, Chengdu 610066, China )

Received:2022-05-18 Revised:2022-06-30 Published:2024-03-28 Online:2024-03-28

摘要/Abstract

摘要： 针对当前同时密集编码中接收方数量受限问题, 通过引入n 比特量子傅里叶变换, 提出了具有多个接收方的非受控和受控同时密集编码协议。在非受控多方同时密集编码协议中，发送方在待传粒子上执行编码以及加锁操作, 接收方只有联合执行解锁操作, 才能同时获得最终的编码信息; 在受控多方同时密集编码协议中, 只有全体接收者在控制者的允许下通过协作才能完成信息的传输。通过对内部和外部攻击进行了分析, 证实了同时密集编码协议的安全性。此外, 所提出的方案中只使用Bell 基测量, 在实验条件下容易实现。

关键词: 量子通信, 同时密集编码, 傅里叶变换, 受控同时密集编码

Abstract: Aiming at the limited number of receivers in current simultaneous dense coding, an uncontrolled or controlled simultaneous dense coding protocol with multiple receivers is proposed by introducing n-bit quantum Fourier transform. In the uncontrolled multi-party simultaneous dense coding protocol, after the sender performs encoding and locking operations on the particles to be transmitted, only the receivers perform unlocking operations jointly, can they obtain the final encoding information at the same time. While in the controlled multi-party simultaneous dense coding protocol, only all receivers cooperate with the permission of the controller, can the transmission of information be completed. The security of the proposed protocol is verified by analyzing internal and external attacks. Besides, only Bell measurement is used in the proposed scheme, which is easy to implement under experimental conditions.

Key words: quantum communication, simultaneous dense coding, Fourier transform, controlled simultaneous dense coding

中图分类号:

O431.2

程登翔 , 杨振 , 谢佳欣 , 柏明强 , 莫智文 , . N 个接收方的同时密集编码协议[J]. 量子电子学报, 2024, 41(2): 340-348.

CHENG Dengxiang , , , YANG Zhen , , , XIE Jiaxin , , , BAI Mingqiang , , , MO Zhiwen , , . Simultaneous dense coding protocol for N receivers[J]. Chinese Journal of Quantum Electronics, 2024, 41(2): 340-348.

参考文献

[1]Horodecki R, Horodecki P, Horodecki M, et al.Quantum entanglement[J].Reviews of Modern Physics, 2009, 81(2):865-942
[2]Bennett C H, Brassard G, Crépeau C, et al.Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels[J].Physical Review Letters, 1993, 70(13):1895-1899
[3]Liu Z H, Chen H W, Liu W J, et al.Quantum secure direct communication with optimal quantum superdense coding by using general four-qubit states[J].Quantum Information Processing, 2013, 12(1):587-599
[4]Bennett C H, Wiesner S J.Communication via one-and two-particle operators on Einstein-Podolsky-Rosen states[J].Physical Review Letters, 1992, 69(20):2881-2884
[5]Huang Y B, Li S S, Nie Y Y.Controlled dense coding between multi-parties[J].International Journal of Theoretical Physics, 2009, 48(1):95-100
[6]Huang Y B, Li S S, Nie Y Y.Controlled dense coding via GHZ-class state[J].International Journal of Modern Physics C, 2008, 19(10):1509-1514
[7]Li S S.Dense coding with cluster state via local measurements[J].International Journal of Theoretical Physics, 2012, 51(3):724-730
[8]Liu J, Liu Y M, Xia Y, et al.Revisiting controlled quantum secure direct communication using a non-symmetric quantum channel with quantum superdense coding[J].Communications in Theoretical Physics, 2008, 49(4):91-94
[9]Braunstein S L, Kimble H J.Dense coding for continuous variables[J].Physical Review A, 1999, 61(4):550-555
[10]Ban M.Reliability function of quantum dense coding of continuous variables[J].Optics Communications, 2001, 189(1):97-102
[11]Marinatto L, Weber T.A quantum approach to static games of complete information[J].Physics Letters A, 2000, 272(5):291-303
[12]Gorbachev V N, Trubilko A I.Quantum teleportation of an Einstein-Podolsy-Rosen pair using an entangled three-particle state[J].Journal of Experimental and Theoretical Physics, 2000, 91(5):894-898
[13]Gorbachev V N, Trubilko A I, Rodichkina A A, et al.Can the states of the W-class be suitable for teleportation?[J].Physics Letters A, 2003, 314(4):267-271
[14]Joo J, Park Y J, Oh S, et al.Quantum teleportation via a W state[J].New Journal of Physics, 2003, 5(1):1765-1768
[15]Bose S, Vedral V, Knight P L.Multiparticle generalization of entanglement swapping[J].Physical Review A, 1998, 57(2):822-829
[16]Liu X S, Long G L, Tong D M, et al.General scheme for superdense coding between multiparties[J].Physical Review A, 2002, 65(2):2304-2304
[17]Bru? D, Lewenstein M, Sen A, et al.Dense coding with multi-partite quantum states[J].International Journal of Quantum Information, 2006, 04(03):415-428
[18]Hao J C, Li C F, Guo G C.Controlled dense coding using the Greenberger-Horne-Zeilinger state [J].Physical Review A, 2001, 63(5):054301-054301
[19]Situ H Z, Qiu D W.Simultaneous dense coding[J].Journal of Physics A: Mathematical and Theoretical, 2010, 43(5):055301-055301
[20]Situ H Z, Qiu D W, Mateus P, et al.Secure n-dimensional simultaneous dense coding and applications[J].International Journal of Quantum Information, 2015, 13(07):1550051-1550051
[21]Situ H Z.Controlled simultaneous teleportation and dense coding[J].International Journal of Theoretical Physics, 2014, 53(3):1003-1009
[22]Zhang C, Situ H Z, Li Q, et al.Efficient simultaneous dense coding and teleportation with two-photon four-qubit cluster states [J].International Journal of Quantum Information, 2016, 14(5):1650023-1650023
[23]Yang X, Bai M Q, Zuo Z C, et al.Secure simultaneous dense coding using χ-type entangled state [J].Quantum Information Processing, 2018, 17(10):261-261
[24]Huang Z M, Zhang C, Situ H Z.Performance analysis of simultaneous dense coding protocol under decoherence [J].Quantum Information Processing, 2017, 16(9):227-227
[25]Camps D, Beeumen R V, Yang C.Quantum Fourier transform revisited[J].Numerical Linear Algebra with Applications, 2021, 28(1), e2331

N 个接收方的同时密集编码协议

Simultaneous dense coding protocol for N receivers

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