基于非最大纠缠的五粒子Cluster态的高效量子态共享方案

孙新梅; 查新未; 祁建霞; 兰倩

doi:10.7498/aps.62.230302

摘要

本文提出了一个新的未知量子态共享方案，使用一个非最大纠缠的五粒子Cluster态作为量子通道来实现任意两粒子未知量子态的共享. 即就是发送方（Alice），接收方（Bob）和控制方（Charlie）共享一个非最大纠缠的五粒子Cluster态. 与以前传统方案不同，在本方案中发送方引入一个辅助粒子，并对其手中的粒子进行正交完备基测量，而接收方不需要引入辅助粒子，只需要执行适当的幺正操作，即可以方便的完成信息的顺利接收. 控制方通过对自己手中的粒子做单粒子投影测量来控制和协助通信双方，使得任意两粒子的未知量子态共享方案得以成功实现.

关键词:

Abstract

In this paper we present a new scheme for quantum state sharing of an arbitrary unknown two-qubit state by using a non-maximally five-qubit cluster state as quantum channel. In this scheme, the non-maximally five-qubit cluster state is shared by a sender (Alice), a controller (Charlie), and a receiver (Bob), who does not need to introduce an auxiliary particle but only operates an appropriate unitary transformation. The sender introduces an auxiliary particle and makes orthogonal complete bases measurement, and the controller makes a single-particle projective measurement on his particle, then the quantum state sharing can be probabilistically realized.

Keywords:

作者及机构信息

1.
西安邮电大学, 理学院, 西安 710061

基金项目: 国家自然科学基金（批准号：10902083）和陕西省自然科学基金（批准号：2013JM1009）资助的课题.

Authors and contacts

1.
School of Science, Xi’an University of Posts and Telecommunications, Xi’an 710061, China

Funds: Project supported by the National Natural Science Foundation of China (Grant No. 10902083), and the Shaanxi Natural Science Foundation, China (Grant No. 2013JM1009).

参考文献

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[2]	Bennett C H, Brassard G, Crepeau C, Jozsa R, Peres A, Wootters W K 1993 Phys. Rev. Lett. 70 1895
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[29]	Wang C, Deng F G, Li Y S, Liu X S, Long G L 2005 Phys. Rev. A 71 044305
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[50]	Li Y M, Zhang K S, Peng K C 2004 Phys. Lett. A 324 420
[51]	Zhang Z J, Yang J, Man Z X,Li Y 2005 Eur. Phys. J. D 33 133
[52]	Li X H, Zhou P, Li C Y, Zhou H Y, Deng F G 2006 J. Phys. B 39 1975
[53]	Deng F G, Li X H, Li C Y, Zhou P, Zhou H Y 2006 Eur. Phys. J. D 39 459
[54]	Man Z X, Xia Y J, An N B 2007 Eur. Phys. J. D 42 333
[55]	Hou K, Li Y B, Shi S H 2010 Optics Communications 283 1961
[56]	Nie Y Y, Li Y H, Liu J C, Sang M H 2011 Opt. Commun. 284 1457
[57]	Chen X, Jiang M, Chen X P, Li H 2013 Quantum Inf Process 12 2405
[58]	Briegel H J, Raussendorf R 2001 Phys. Rev. Lett. 86 910
[59]	Li C Y, Zhou H Y, Wang Y, Deng F G 2005 Chin. Phys. Lett. 22 1049
[60]	Li C Y, Li X H, Deng F G, Zhou P, Liang Y J, Zhou H Y 2006 Chin. Phys. Lett. 23 2896

施引文献

[1]	Bennett C H, Brassad G 1984 Proc. IEEE Int. Conf. Computers, Systems and Signal Processing Bangalore, India 175
[2]	Bennett C H, Brassard G, Crepeau C, Jozsa R, Peres A, Wootters W K 1993 Phys. Rev. Lett. 70 1895
[3]	Bouwmeester D, Pan J W, Mattle K, Eibl M, Weinfurter H, Zeilinger A 1997 Nature 390 575
[4]	Karlsson A, Bourennane M 1998 Phys. Rev. A 58 4394
[5]	Yang C P, Chu S, Han S 2004 Phys. Rev. A 70 022329
[6]	Deng F G, Li C Y, Li Y S, Zhou H Y, Wang Y 2005 Phys. Rev. A 72 022338
[7]	Li X H, Deng F G, Zhou H Y 2007 Chin. Phys. Lett. 24 1151
[8]	Zhou P, Li X H, Deng F G, Zhou H Y 2007 J. Phys. A: Math. Theor. 40 13121
[9]	Zha X W, Song H Y 2007 Phys. Lett. A 369 377
[10]	Zhu F C, Wen Q Y, Chen X B 2006 Chin. Phys. 15 2240
[11]	Zheng Y Z, Guo G C, Gu Y J 2002 Chin. Phys. 11 537
[12]	Zhang C M, Zha X W 2008 Acta Phys. Sin. 57 1339 (in Chinese) [张淳民, 查新未 2008 物理学报 57 1339]
[13]	Zha X W 2007 Acta Phys. Sin. 56 1875 (in Chinese) [查新未 2007 物理学报 56 1875]
[14]	Yang C P, Guo G C 1999 Chin. Phys. Lett. 16 628
[15]	Ekert A K 1991 Phys. Rev. Lett. 67 661
[16]	Bennett C H 1992 Phys. Rev. Lett. 68 3121
[17]	Bennett C H, Brassard G, Mermin N D 1992 Phys. Rev. Lett. 68 557
[18]	Gisin N, Ribordy G, Tittel W, Zbinden H 2002 Rev. Mod. Phys. 74 145
[19]	Deng F G, Long G L 2003 Phys. Rev. A 68 042315
[20]	Deng F G, Long G L 2004 Phys. Rev. A 70 012311
[21]	Hwang W Y 2003 Phys. Rev. Lett. 91 057901
[22]	Wang X B 2005 Phys. Rev. Lett. 94 230503
[23]	Lo H K, Ma X F, Chen K 2005 Phys. Rev. Lett. 94 230504
[24]	Li X H, Deng F G, Zhou H Y 2008 Phys. Rev. A 78 022321
[25]	Deng F G, Liu X S, Ma Y J, Xiao L, Long G L 2002 Chin. Phys. Lett. 19 893
[26]	Long G L, Liu X S 2002 Phys. Rev. A 65 032302
[27]	Deng F G, Long G L, Liu X S 2003 Phys. Rev. A 68 042317
[28]	Deng F G, Long G L 2004 Phys. Rev. A 69 052319
[29]	Wang C, Deng F G, Li Y S, Liu X S, Long G L 2005 Phys. Rev. A 71 044305
[30]	Long G L, Deng F G, Wang C, Li X H, Wen K, Wang W Y 2007 Front. Phys. Chin. 2 251
[31]	Wang C, Deng F G, Long G L 2005 Opt. Commun. 253 15
[32]	Li X H, Li C Y, Deng F G, Zhou P, Liang Y J, Zhou H Y 2007 Chin. Phys. 16 2149
[33]	Guo F Z, Qin S J, Wen Q Y, Zhu F C 2010 Chin. Phys. Lett. 27 090307
[34]	Bennett C H, Wiesner S J 1992 Phys. Rev. Lett. 69 2881
[35]	Liu X S, Long G L, Tong D M, Feng L 2002 Phys. Rev. A 65 022304
[36]	Grudka A, Wojcik A 2002 Phys. Rev. A 66 014301
[37]	Hillery M, Buzek V, Berthiaume A 1999 Phys. Rev. A 59 1829
[38]	Karlsson A, Koashi M, Imoto N 1999 Phys. Rev. A 59 162
[39]	Xiao L, Long G L, Deng F G, Pan J W 2004 Phys. Rev. A 69 052307
[40]	Deng F G, Li X H, Zhou H Y 2008 Phys. Lett. A 372 1957
[41]	Deng F G, Li X H, Li C Y, Zhou P, Zhou H Y 2005 Phys. Rev. A 72 044301
[42]	Jin X R, Zhang S, Zhang Y Q 2006 Chin. Phys. 15 2252
[43]	Deng F G, Long G L, Chen P 2006 Chin. Phys. 15 2228
[44]	Chen X B, Niu X X, Zhou X J, Yang Y X 2013 Quantum Inf Process 12 365
[45]	Pati A K 2001 Phys. Rev. A 63 014302
[46]	Bennett C H, DiVincenzo D P, Shor P W, Smolin J A, Terhal B M, Wootters W K 2001 Phys. Rev. Lett. 87 077902
[47]	Lo H K 2000 Phys. Rev. A 62 012313
[48]	Cleve R, Gottesman D, Lo H K 1999 Phys. Rev. Lett. 83 648
[49]	Lance A M, Symun T, Bowen W P, Sanders B C, Lam P K 2004 Phys. Rev. Lett. 92 177903
[50]	Li Y M, Zhang K S, Peng K C 2004 Phys. Lett. A 324 420
[51]	Zhang Z J, Yang J, Man Z X,Li Y 2005 Eur. Phys. J. D 33 133
[52]	Li X H, Zhou P, Li C Y, Zhou H Y, Deng F G 2006 J. Phys. B 39 1975
[53]	Deng F G, Li X H, Li C Y, Zhou P, Zhou H Y 2006 Eur. Phys. J. D 39 459
[54]	Man Z X, Xia Y J, An N B 2007 Eur. Phys. J. D 42 333
[55]	Hou K, Li Y B, Shi S H 2010 Optics Communications 283 1961
[56]	Nie Y Y, Li Y H, Liu J C, Sang M H 2011 Opt. Commun. 284 1457
[57]	Chen X, Jiang M, Chen X P, Li H 2013 Quantum Inf Process 12 2405
[58]	Briegel H J, Raussendorf R 2001 Phys. Rev. Lett. 86 910
[59]	Li C Y, Zhou H Y, Wang Y, Deng F G 2005 Chin. Phys. Lett. 22 1049
[60]	Li C Y, Li X H, Deng F G, Zhou P, Liang Y J, Zhou H Y 2006 Chin. Phys. Lett. 23 2896

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