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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.
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Keywords:
- quantum voting /
- high-dimensional entangled state /
- non-symmetricbasis measurement /
- quantum operation teleportation
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[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
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[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
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[14] Rigolin G 2005 Phys. Rev. A 71 032303
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[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
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[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
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[35] Zhao N B, Wang A M 2007 Phys. Rev. A 76 062317
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[37] Yao C M, Cao B F 2009 Phys. Lett. A 373 1011
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[39] Zhan Y B, Zhang Q Y, Wang Y W, Ma P C 2010 Chin. Phys. Lett. 27 010307
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[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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[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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