基于非对称量子通道受控QOT量子投票协议

王郁武; 韦相和; 朱兆辉

doi:10.7498/aps.62.160302

摘要

提出一种量子投票协议, 协议基于非对称量子通道受控量子局域幺正操作隐形传输(quantum operation teleportation, QOT). 由公正机构CA提供的零知识证明的量子身份认证, 保证选民身份认证的匿名性. 计票机构Bob制造高维Greenberger-Horne-Zeilinger 纠缠态建立一个高维量子通信信道. 选民对低维的量子选票进行局域幺正操作的量子投票, 是通过非对称基的测量和监票机构Charlie的辅助测量隐形传输的. Bob在Charlie帮助下可以通过幺正操作结果得到投票结果. 与其他一般的QOT量子投票协议相比, 该协议利用量子信息与传输的量子信道不同维, 使单粒子信息不能被窃取、防止伪造.选举过程由于有Charlie的监督, 使得投票公正和不可抵赖.由于量子局域幺正操作隐形传输的成功概率是1, 使量子投票的可靠性得以保证.

关键词:

Abstract

In the paper, we present a kind of quantum voting protocol, which is based on controlled quantum teleportation of local unitary operations in non-symmetric quantum channel. In this protocol, the umpire CA with zero knowledge proof quantum identity authentication ensures voter’s anonymous identity authentication. The counting institution Bob generates a high-dimensional Greenberger-Horne-Zeilinger entangled state to establish a high-dimensional quantum communication channel. Performing the local unitary operation on their low-dimensional quantum ballot, voter’s quantum vote is teleportated by asymmetric matrix measurement and scrutineer Charlie auxiliary measuring. With the scrutineer Charlie’s help, Bob achieves the voting result by the output of unitary operation. Compared with other general quantum operation teleportation quantum voting protocol, the protocol utilizes the quantum information and transmission of quantum channel, which have different dimensions, so single particle information cannot be stolen, and can prevent forgery. The electoral process is fair and undeniable, owing to Charlie’s supervision. Since the success probability of quantum teleportation of local unitary operations is 1, the quantum voting is reliable.

Keywords:

作者及机构信息

1.
淮阴师范学院计算机科学与技术学院, 淮安 223300

基金项目: 江苏省教育厅基金(批准号: 11KJB520002, JHB2012-53)资助的课题.

Authors and contacts

1.
School of Computer Science and Technology, Huaiyin Normal University, Huai’an 223300, China

Funds: Project supported by Jiangsu Provincial Department of Education, China (Grant Nos. 11KJB520002, JHB2012-53).

参考文献

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施引文献

[1]	Vaccaro J A, Joseph S, Anthony C 2007 Phys. Rev. A 75 012333
[2]	Hillery M 2006 The International Soeiety for Optieal Engineering 10.1117/2.1200610.0419
[3]	Wen X J, Cai X J 2011 J. Shandong Univ. (Natural Science) 46 9 (in Chinese) [温晓军, 蔡学军 2011 山东大学学报 (理学版) 46 9]
[4]	Yi Z, He G Q, Zeng G H 2009 Acta Phys.Sin. 58 3166 (in Chinese) [易智, 何广强, 曾贵华 2009 58 3166]
[5]	Horoshko D, Kilin S 2011 Phys. Lett. A 375 1172
[6]	Wu Q L, Liu Y, Chen W, Han Z F, Wang K Y, Guo G C 2010 Prog. Phys. 30 296 (in Chinese) [吴青林, 刘云, 陈巍, 韩正甫, 王克逸, 郭光灿 2010 物理学进展 30 296]
[7]	Bennett C H, Brassard G, Crépeau C, Jozsa R, Peres A, Wootters W K 1993 Phys. Rev. Lett. 70 1895
[8]	Huelga S F, Vaccaro J A, Chefles A 2001 Phys. Rev. A 63 042303
[9]	Cirac J I, Parkins A S 1994 Phys. Rev. A 50 R4441
[10]	Moussa M H Y 1997 Phys. Rev. A 55 R3287
[11]	Lee J, Kim M S 2000 Phys. Rev. Lett. 84 4236
[12]	Li W L, Li C F, Guo G C 2000 Phys. Rev. A 61 034301
[13]	Bowen G, Bose S 2001 Phys. Rev. Lett. 87 267901
[14]	Rigolin G 2005 Phys. Rev. A 71 032303
[15]	Yao Y, Chua W K 2006 Phys. Rev. Lett. 96 060502
[16]	Gordon G, Rigolin G 2006 Phys. Rev. A 73 042309
[17]	Muralidharan S, Panigrahi P K 2008 Phys. Rev. A 77 032321
[18]	Bouwmeester D, Pan J W, Kmattle, Eibl M, Weinfurter H, Zeilinger A 1997 Nature 390 575
[19]	Furusawa A, Sorensen J L, Braustein S L, Fuchs C A, Kimble H J, Polzik E S 1998 Science 282 706
[20]	Stemholm S, Bardroff P J 1998 Phys. Rev. A 58 4373
[21]	Son W, Lee J, Kim M S, Park Y J 2001 Phys. Rev. A 64 064304
[22]	Hsu L Y 2003 Phys. Lett. A 311 459
[23]	Roa L, Delgado A, Fuentes-Guridi I 2003 Phys. Rev. A 68 022310
[24]	Dai H Y, Zhang M, Li C Z 2004Phys. Lett. A 323 360
[25]	Pati A K, Agrawal P 2007 Phys. Lett. A 371 185
[26]	Zhan Y B 2007 Chin. Phys. 16 2557
[27]	Gulfam Q ul A, Ikram R ul I M 2008 J. Phys. B: At. Mol. Opt. Phys. 41 165502
[28]	Huelga S F, Plenio M B, Vaccaro J A 2002 Phys. Rev. A 65 042316
[29]	Zou X B, Pahlke K, Mathis W 2002 Phys. Rev. A 65 064305
[30]	Dr W, Vidal G, Cirac J I 2002 Phys. Rev. Lett. 89 057901
[31]	Zhang Y S, Ye M Y, Guo G C 2005 Phys. Rev. A 71 062331
[32]	Wang A M 2006 Phys. Rev. A 74 032317
[33]	Yao C M 2006 Chin. Phys. Lett. 23 545
[34]	Wang A M 2007 Phys. Rev. A 75 062323
[35]	Zhao N B, Wang A M 2007 Phys. Rev. A 76 062317
[36]	Zhao N B, Wang A M 2008 Phys. Rev. A 78 014305
[37]	Yao C M, Cao B F 2009 Phys. Lett. A 373 1011
[38]	Zhang Z J, Cheung C Y 2011 J. Phys. B: At. Mol. Opt. Phys. 44 165508
[39]	Zhan Y B, Zhang Q Y, Wang Y W, Ma P C 2010 Chin. Phys. Lett. 27 010307
[40]	Wang Y W, Zhan Y B 2009 Acta Phys. Sin. 58 7668 (in Chinese) [王郁武, 詹佑邦 2009 58 7668]
[41]	Wang J, Chen H Q, Zhang Q, Tang C J 2007 Acta Phys. Sin. 56 673 (in Chinese) [王剑, 陈皇卿, 张权, 唐朝京 2007 56 673]
[42]	Fan Q B, Zhang S 2006 Phys. Lett. A 348 160
[43]	Zhan Y B, Ma P C, Zhang Q Y 2012 Inter. J. Quant. Infor. 10 1250074
[44]	Pati A K 2001 Phys. Rev. A 63 014302
[45]	Bennett C H, Brassard G 1984 Proceedings of IEEE International Conference on Computers, Systems and Signal Processing (New York: IEEE Press) p175

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