The entanglement of several graph states

Xiao-Yu Chen (陈小余)

PDF(171 KB)
PDF(171 KB)
Front. Phys. ›› 2012, Vol. 7 ›› Issue (4) : 444-448. DOI: 10.1007/s11467-012-0249-9
RESEARCH ARTICLE
RESEARCH ARTICLE

The entanglement of several graph states

Author information +
History +

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.

Keywords

graph state / closest separable state / multipartite entanglement

Cite this article

Download citation ▾
Xiao-Yu Chen (陈小余). The entanglement of several graph states. Front. Phys., 2012, 7(4): 444‒448 https://doi.org/10.1007/s11467-012-0249-9

References

[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

RIGHTS & PERMISSIONS

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
AI Summary AI Mindmap
PDF(171 KB)

Accesses

Citations

Detail

Sections
Recommended

/