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Measures of genuine multipartite entanglement for graph states |
| Guo Qun-Qun (郭群群), Chen Xiao-Yu (陈小余), Wang Yun-Yun (王赟赟) |
| College of Information and Electronic Engineering, Zhejiang Gongshang University, Hangzhou 310018, China |
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Abstract Graph states are special multipartite entangled states that have been proven useful in a variety of quantum information tasks. We address the issue of characterizing and quantifying the genuine multipartite entanglement of graph states up to eight qubits. The entanglement measures used are the geometric measure, the relative entropy of entanglement, and the logarithmic robustness, have been proved to be equal for the genuine entanglement of a graph state. We provide upper and lower bounds as well as an iterative algorithm to determine the genuine multipartite entanglement.
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Received: 25 June 2013
Revised: 09 October 2013
Accepted manuscript online:
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PACS:
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03.67.Mn
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(Entanglement measures, witnesses, and other characterizations)
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03.65.Ud
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(Entanglement and quantum nonlocality)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 60972071 and 11375152). |
Corresponding Authors:
Chen Xiao-Yu
E-mail: xychen@zjgsu.edu.cn
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| About author: 03.67.Mn; 03.65.Ud |
Cite this article:
Guo Qun-Qun (郭群群), Chen Xiao-Yu (陈小余), Wang Yun-Yun (王赟赟) Measures of genuine multipartite entanglement for graph states 2014 Chin. Phys. B 23 050309
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| [1] |
Ye T Y and Jiang L Z 2013 Chin. Phys. B 22 050309
|
| [2] |
Ye T Y and Jiang L Z 2013 Chin. Phys. B 22 040305
|
| [3] |
Xu J, Chen X Y and Li H T 2012 Acta Phys. Sin. 61 220304 (in Chinese)
|
| [4] |
Zhan Y and Chen X Y 2013 Chin. Phys. B 22 010308
|
| [5] |
Seevinck M and Uffink J 2008 Phys. Rev. A 78 032101
|
| [6] |
Dur W and Cirac J I 2000 Phys. Rev. A 61 042314
|
| [7] |
Guhne O and Seevinck M 2010 New J. Phys. 12 053002
|
| [8] |
Acin A, Brub D, Lewenstein M and Sanpera A 2001 Phys. Rev. Lett. 87 040401
|
| [9] |
Duan L M 2011 Phys. Rev. Lett. 107 180502
|
| [10] |
Chen X Y 2012 Front. Phys. 7 444
|
| [11] |
Vidal G and Tarrach R 1999 Phys. Rev. A 59 141
|
| [12] |
Wei T C and Goldbart P M 2003 Phys. Rev. A 68 042307
|
| [13] |
Vedral V and Plenio M B 1998 Phys. Rev. A 57 1619
|
| [14] |
Chen X Y, Yu P, Jiang L Z and Tian M 2013 Phys. Rev. A 87 012322
|
| [15] |
Markham D, Miyake A and VIrmani S 2007 New J. Phys. 9 194
|
| [16] |
Cabello A, Danielsen L E, Lopez-Tarrida A J and Portillo J R 2011 Phys. Rev. A 83 042314
|
| [17] |
Hajdusek M and Murao M 2013 New J. Phys. 15 013039
|
| [18] |
Chen X Y 2010 J. Phys. B 43 085507
|
| [19] |
Hein M, Eisert J and Briegel H J 2004 Phys. Rev. A 69 062311
|
| [20] |
Hayashi M, Markham D, Murao M, Owari M and Virmani S 2006 Phys. Rev. Lett. 96 040501
|
| [21] |
Hayashi M, Markham D, Murao M, Owari M and Virmani S 2008 Phys. Rev. A 77 012104
|
| [22] |
Wei T C, Das D, Mukhopadyay S, Vishveshwara S and Goldbart P M 2005 Phys. Rev. A 71 060305
|
| [23] |
Yu C S, Song H S and Cui H T 2008 Chin. Phys. B 17 2795
|
| [24] |
Yu C S, Zhou L and Song H S 2008 Phys. Rev. A 77 022313
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