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

[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 57 1339]
[13]	Zha X W 2007 Acta Phys. Sin. 56 1875 (in Chinese) [查新未 2007 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

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 57 1339]
[13]	Zha X W 2007 Acta Phys. Sin. 56 1875 (in Chinese) [查新未 2007 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

[1]	吴晓东, 黄端. 基于非理想量子态制备的实际连续变量量子秘密共享方案. , 2024, 73(2): 020304. doi: 10.7498/aps.73.20230138
[2]	危语嫣, 高子凯, 王思颖, 朱雅静, 李涛. 基于单光子双量子态的确定性安全量子通信. , 2022, 71(5): 050302. doi: 10.7498/aps.71.20210907
[3]	危语嫣, 高子凯, 王思颖, 朱雅静, 李涛. 基于单光子双量子态的确定性的安全量子通讯. , 2021, (): . doi: 10.7498/aps.70.20210907
[4]	计彦强, 王洁, 刘颖莉, 张大伟, 肖瑞杰, 董莉, 修晓明. 基于里德伯超级原子快速制备三粒子单重态. , 2021, 70(12): 120301. doi: 10.7498/aps.70.20201841
[5]	丁晨, 李坦, 张硕, 郭楚, 黄合良, 鲍皖苏. 基于辅助单比特测量的量子态读取算法. , 2021, 70(21): 210303. doi: 10.7498/aps.70.20211066
[6]	赵军龙, 张译丹, 杨名. 噪声对一种三粒子量子探针态的影响. , 2018, 67(14): 140302. doi: 10.7498/aps.67.20180040
[7]	黄江. 弱测量对四个量子比特量子态的保护. , 2017, 66(1): 010301. doi: 10.7498/aps.66.010301
[8]	郑晓毅, 龙银香. 基于cluster态的信道容量可控的可控量子安全直接通信方案. , 2017, 66(18): 180303. doi: 10.7498/aps.66.180303
[9]	梁建武, 程资, 石金晶, 郭迎. 基于量子图态的量子秘密共享. , 2016, 65(16): 160301. doi: 10.7498/aps.65.160301
[10]	上官丽英, 孙洪祥, 陈秀波, 温巧燕, 朱甫臣. 三粒子纠缠W态隐形传态的正交完备基展开与算符变换. , 2009, 58(3): 1371-1376. doi: 10.7498/aps.58.1371
[11]	刘玉玲, 满忠晓, 夏云杰. 用非最大纠缠信道对任意二粒子纠缠态的量子秘密分享. , 2008, 57(5): 2680-2686. doi: 10.7498/aps.57.2680
[12]	查新未, 张淳民. 利用一个三粒子W态隐形传送N粒子GHZ态. , 2008, 57(3): 1339-1342. doi: 10.7498/aps.57.1339
[13]	李文博, 李宓善, 李亚玲, 温晓阳, 袁广军, 张驰, 杨涛. 三粒子Calogero-Sutherland模型的相干态. , 2008, 57(5): 2674-2679. doi: 10.7498/aps.57.2674
[14]	马瑞琼, 李永放, 时坚. 量子态的非相干光时域测量. , 2008, 57(9): 5593-5599. doi: 10.7498/aps.57.5593
[15]	李艳玲, 冯健. 利用单个三粒子最大GHZ态或两个EPR态隐形传送任意三粒子GHZ态. , 2007, 56(4): 1888-1894. doi: 10.7498/aps.56.1888
[16]	周小清, 邬云文. 利用三粒子纠缠态建立量子隐形传态网络的探讨. , 2007, 56(4): 1881-1887. doi: 10.7498/aps.56.1881
[17]	查新未. 量子隐形传送态的正交完备基展开与算符变换. , 2007, 56(4): 1875-1880. doi: 10.7498/aps.56.1875
[18]	胡学宁, 李新奇. 量子点接触对单电子量子态的量子测量. , 2006, 55(7): 3259-3264. doi: 10.7498/aps.55.3259
[19]	郑亦庄, 戴玲玉, 郭光灿. 三粒子纠缠Ｗ态的隐形传态. , 2003, 52(11): 2678-2682. doi: 10.7498/aps.52.2678
[20]	许伯威. 二粒子共振态的质量公式. , 1965, 21(10): 1814-1816. doi: 10.7498/aps.21.1814

计量

文章访问数: 6130
PDF下载量: 483
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板