Bound entanglement and teleportation for arbitrary bipartite systems

doi:10.1088/1674-1056/22/10/100309

中国物理B ›› 2013, Vol. 22 ›› Issue (10): 100309-100309.doi: 10.1088/1674-1056/22/10/100309

Bound entanglement and teleportation for arbitrary bipartite systems

范姣, 赵慧

College of Applied Science, Beijing University of Technology, Beijing 100124, China

收稿日期:2012-12-11 修回日期:2013-04-24 出版日期:2013-08-30 发布日期:2013-08-30
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11101017 and 11275131) and Beijing Natural Science Foundation and Scientific Research Key Program of Beijing Municipal Commission of Education (Grant No. KZ201210028032).

Bound entanglement and teleportation for arbitrary bipartite systems

Fan Jiao (范姣), Zhao Hui (赵慧)

College of Applied Science, Beijing University of Technology, Beijing 100124, China

Received:2012-12-11 Revised:2013-04-24 Online:2013-08-30 Published:2013-08-30
Contact: Zhao Hui E-mail:zhaohui@bjut.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11101017 and 11275131) and Beijing Natural Science Foundation and Scientific Research Key Program of Beijing Municipal Commission of Education (Grant No. KZ201210028032).

摘要/Abstract

摘要： We construct bound entangled states that are entangled but from which no entanglement can be distilled if all parties are allowed only by performing local operations and classical communications. Moreover, as applications, a detailed example is presented. This example can illuminate that the fidelity of transmission using a bound entangled state is not bigger than a classical scheme.

关键词: bound entanglement, teleportation, partial transpose

Abstract: We construct bound entangled states that are entangled but from which no entanglement can be distilled if all parties are allowed only by performing local operations and classical communications. Moreover, as applications, a detailed example is presented. This example can illuminate that the fidelity of transmission using a bound entangled state is not bigger than a classical scheme.

Key words: bound entanglement, teleportation, partial transpose

中图分类号: (Entanglement measures, witnesses, and other characterizations)

03.67.Mn

03.65.Ud (Entanglement and quantum nonlocality)

范姣, 赵慧. Bound entanglement and teleportation for arbitrary bipartite systems[J]. 中国物理B, 2013, 22(10): 100309-100309.

Fan Jiao (范姣), Zhao Hui (赵慧). Bound entanglement and teleportation for arbitrary bipartite systems[J]. Chin. Phys. B, 2013, 22(10): 100309-100309.

参考文献 25

[1]	Einstein A, Podolsky B and Rosen N 1935 Phys. Rev. 47 777
[2]	Bell J S 1964 Physics 1 195
[3]	Peres A 1996 Phys. Rev. Lett. 77 1413
[4]	Horodecki M and Horodecki P 1999 Phys. Rev. A 59 4206
[5]	Horodecki P 1997 Phys. Lett. A 232 333
[6]	Chen K and Wu L A 2003 Quantum Inf. Comput. 3 193
[7]	Zhang M, Dong G H, Dai H Y and Hu D W 2006 Chin. Phys. Lett. 23 1072
[8]	Tang Y L, Liu X, Zhang X W and Tang X F 2008 Acta Phys. Sin. 57 7447 (in Chinese)
[9]	Xia Y J, Wang G H and Du S J 2007 Acta Phys. Sin. 56 4331 (in Chinese)
[10]	Ye L and Guo G C 2002 Chin. Phys. 11 996
[11]	Guo G C, Yao C M and Ye L 2001 Chin. Phys. 10 1001
[12]	Cai X H 2003 Chin. Phys. 12 1066
[13]	Bennett C H, DiVincenzo D, Mor T, Shor P, Smolin J and Terhal B 1999 Phys. Rev. Lett. 82 5385
[14]	Breuer H P 2006 Phys. Rev. Lett. 97 080501
[15]	Derkach L and Jakubczyk L 2007 Phys. Rev. A 76 042304
[16]	Augusiak R, Stasinska J and Horodecki P 2008 Phys. Rev. A 77 012333
[17]	Nathanson M and Ruskai M B 2007 Mathematical Systems Theory 40 8171
[18]	Cavalcanti D, Ferraro A, Garcia-Saez A and Acin A 2008 Phys. Rev. A 78 012335
[19]	Horodecki M, Horodecki P and Horodecki R 1996 Phys. Lett. A 223 1
[20]	Horodecki M, Horodecki P and Horodecki R 1998 Phys. Rev. Lett. 80 5239
[21]	Horodecki M, Horodecki P and Horodecki R 1999 Phys. Rev. A 60 1888
[22]	Linden N and Popescu S 1999 Phys. Rev. A 59 137
[23]	Horodecki P, Horodecki M and Horodecki R 1999 Phys. Rev. Lett. 82 1056
[24]	Smolin J A 2001 Phys. Rev. A 63 032306
[25]	Yeo Y, An J H and Oh C H 2010 Phys. Rev. A 82 032340

Bound entanglement and teleportation for arbitrary bipartite systems

Bound entanglement and teleportation for arbitrary bipartite systems

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