High-efficient quantum state sharing via non-maximally five-qubit cluster state

Sun Xin-Mei; Zha Xin-Wei; Qi Jian-Xia; Lan Qian

doi:10.7498/aps.62.230302

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:

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).

References

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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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[6]	Deng F G, Li C Y, Li Y S, Zhou H Y, Wang Y 2005 Phys. Rev. A 72 022338
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[8]	Zhou P, Li X H, Deng F G, Zhou H Y 2007 J. Phys. A: Math. Theor. 40 13121
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[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
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[31]	Wang C, Deng F G, Long G L 2005 Opt. Commun. 253 15
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[33]	Guo F Z, Qin S J, Wen Q Y, Zhu F C 2010 Chin. Phys. Lett. 27 090307
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[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
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[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

Cited By

[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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Vol. 62, Issue 23 - 2013-12-05

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