The entanglement of several graph states
Xiao-Yu Chen (陈小余)
The entanglement of several graph states
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.
graph state / closest separable state / multipartite entanglement
[1] |
V. Vedral, M. B. Plenio, M. A. Rippin, and P. L. Knight, Phys. Rev. Lett., 1997, 78(12): 2275
CrossRef
ADS
Google scholar
|
[2] |
V. Vedral and M. B. Plenio, Phys. Rev. A, 1998, 57(3): 1619
CrossRef
ADS
Google scholar
|
[3] |
C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A, 1996, 54(5): 3824
CrossRef
ADS
Google scholar
|
[4] |
W. Dür, G. Vidal, and J. I. Cirac, Phys. Rev. A, 2000, 62(6): 062314
CrossRef
ADS
Google scholar
|
[5] |
A. Miyake, Phys. Rev. A, 2003, 67(1): 012108
CrossRef
ADS
Google scholar
|
[6] |
G. Vidal and R. Tarrach, Phys. Rev. A, 1999, 59(1): 141
CrossRef
ADS
Google scholar
|
[7] |
T. C. Wei and P. M. Goldbart, Phys. Rev. A, 2003, 68(4): 042307
CrossRef
ADS
Google scholar
|
[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
CrossRef
ADS
Google scholar
|
[10] |
T. C. Wei, Phys. Rev. A, 2008, 78(1): 012327
CrossRef
ADS
Google scholar
|
[11] |
M. Hayashi, D. Markham, M. Murao, M. Owari, and S. Virmani, Phys. Rev. A, 2008, 77(1): 012104
CrossRef
ADS
Google scholar
|
[12] |
D. Markham, A.Miyake, and S. Virmani, New J. Phys., 2007, 9(6): 194
CrossRef
ADS
Google scholar
|
[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
CrossRef
ADS
Google scholar
|
[15] |
B. Jungnitsch, T. Moroder, and O. Gühne, Phys. Rev. A, 2011, 84(3): 03231
CrossRef
ADS
Google scholar
|
[16] |
X. Y. Chen and L. Z. Jiang, Phys. Rev. A, 2011, 83(5): 052316
CrossRef
ADS
Google scholar
|
[17] |
M. Hein, J. Eisert, and H. J. Briegel, Phys. Rev. A, 2004, 69(6): 062311
CrossRef
ADS
Google scholar
|
[18] |
D. Schlingemann and R. F. Werner, Phys. Rev. A, 2002, 65(1): 012308
CrossRef
ADS
Google scholar
|
[19] |
R. Raussendorf and H. J. Briegel, Phys. Rev. Lett., 2001, 86(22): 5188
CrossRef
ADS
Google scholar
|
[20] |
P. Walther, K. J. Resch, T. Rudolph, E. Schenck, H. Weinfurter, V. Vedral, M. Aspelmeyer, and A. Zeilinger, Nature, 2005, 434(7030): 169
CrossRef
ADS
Google scholar
|
[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
CrossRef
ADS
Google scholar
|
/
〈 | 〉 |