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The entanglement of several graph states |
Xiao-Yu Chen (陈小余, ) |
College of Information and Electronic Engineering, Zhejiang Gongshang University, Hangzhou 310018, China |
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Abstract We exactly evaluate the entanglement of a six vertex and a nine vertex graph states which correspond to non “two-colorable” graphs. The upper bound of entanglement for five vertex ring graph state is improved to 2.9275, less than the upper bound determined by local operations and classical communication. An upper bound of entanglement is proposed based on the definition of graph state.
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Keywords
graph state
closest separable state
multipartite entanglement
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Corresponding Author(s):
Xiao-Yu Chen (陈小余),Email:xychen@zjgsu.edu.cn
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Issue Date: 01 August 2012
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1 |
V. Vedral, M. B. Plenio, M. A. Rippin, and P. L. Knight, Phys. Rev. Lett. , 1997, 78(12): 2275 doi: 10.1103/PhysRevLett.78.2275
|
2 |
V. Vedral and M. B. Plenio, Phys. Rev. A , 1998, 57(3): 1619 doi: 10.1103/PhysRevA.57.1619
|
3 |
C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A , 1996, 54(5): 3824 doi: 10.1103/PhysRevA.54.3824
|
4 |
W. Dür, G. Vidal, and J. I. Cirac, Phys. Rev. A , 2000, 62(6): 062314 doi: 10.1103/PhysRevA.62.062314
|
5 |
A. Miyake, Phys. Rev. A , 2003, 67(1): 012108 doi: 10.1103/PhysRevA.67.012108
|
6 |
G. Vidal and R. Tarrach, Phys. Rev. A , 1999, 59(1): 141 doi: 10.1103/PhysRevA.59.141
|
7 |
T. C. Wei and P. M. Goldbart, Phys. Rev. A , 2003, 68(4): 042307 doi: 10.1103/PhysRevA.68.042307
|
8 |
T. C. Wei, M. Ericsson, P. M. Goldbart, and W. J. Munro, Quant. Inform. Comp. , 2004, 4: 252
|
9 |
M. Hayashi, D. Markham, M. Murao, M. Owari, and S. Virmani, Phys. Rev. Lett. , 2006, 96(4): 040501 doi: 10.1103/PhysRevLett.96.040501
|
10 |
T. C. Wei, Phys. Rev. A , 2008, 78(1): 012327 doi: 10.1103/PhysRevA.78.012327
|
11 |
M. Hayashi, D. Markham, M. Murao, M. Owari, and S. Virmani, Phys. Rev. A , 2008, 77(1): 012104 doi: 10.1103/PhysRevA.77.012104
|
12 |
D. Markham, A.Miyake, and S. Virmani, New J. Phys. , 2007, 9(6): 194 doi: 10.1088/1367-2630/9/6/194
|
13 |
M. Hein, W. Dür, J. Eisert, R. Raussendorf, M. Van den Nest, and H. J. Briegel, in: G. Casati, D. L. Shepelyansky, P. Zoller, and G. Benenti(Eds.), Quantum Computers, Algorithms and Chaos, 162, Amsterdam: IOS Press, 2006
|
14 |
O. Gühne, B. Jungnitsch, T. Moroder, and Y. S. Weinstein, Phys. Rev. A , 2011, 84(5): 052319 doi: 10.1103/PhysRevA.84.052319
|
15 |
B. Jungnitsch, T. Moroder, and O. Gühne, Phys. Rev. A , 2011, 84(3): 03231 doi: 10.1103/PhysRevA.84.032310
|
16 |
X. Y. Chen and L. Z. Jiang, Phys. Rev. A , 2011, 83(5): 052316 doi: 10.1103/PhysRevA.83.052316
|
17 |
M. Hein, J. Eisert, and H. J. Briegel, Phys. Rev. A , 2004, 69(6): 062311 doi: 10.1103/PhysRevA.69.062311
|
18 |
D. Schlingemann and R. F. Werner, Phys. Rev. A , 2002, 65(1): 012308 doi: 10.1103/PhysRevA.65.012308
|
19 |
R. Raussendorf and H. J. Briegel, Phys. Rev. Lett. , 2001, 86(22): 5188 doi: 10.1103/PhysRevLett.86.5188
|
20 |
P. Walther, K. J. Resch, T. Rudolph, E. Schenck, H. Weinfurter, V. Vedral, M. Aspelmeyer, and A. Zeilinger, Nature , 2005, 434(7030): 169 doi: 10.1038/nature03347
|
21 |
C. Y. Lu, X. Q. Zhou, O. Gühne, W. B. Gao, J. Zhang, Z. S. Yuan, A. Goebel, T. Yang, and J. W. Pan, Nat. Phys. , 2007, 3(2): 91 doi: 10.1038/nphys507
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