Tripartite states Bell-nonlocality sudden death in a quantum-critical environment

doi:10.1088/1674-1056/19/10/100305

Abstract We demonstrate that multipartite Bell-inequalities violations can be fully destroyed in finite time in three-qubit states under a quantum-critical environment, which is an Ising model in a transverse field. We use the Mermin–Ardehali–Belinksii–Klyshko (MABK) inequality to detect the degree of nonlocality as measured by the extent of their violations. The effects of system-environment couplings, the size of degrees of freedom of environment and the strength of transverse field on the Bell-inequality violations are given for two different initial states, namely, the W class and GHZ class states. The results indicate that the Bell-inequality violations of the tripartite states will be completely destroyed by the decoherence under certain conditions.

Keywords: Bell-type inequality Bell-nonlocality sudden death quantum-critical environment

Received: 30 January 2010
Revised: 17 March 2010
Accepted manuscript online:

PACS:	03.65.Ud	(Entanglement and quantum nonlocality)
	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	03.67.Lx	(Quantum computation architectures and implementations)
	05.50.+q	(Lattice theory and statistics)

Fund: Project supported by the Key Scientific Research Fund of the Education Department of Hunan Province of China (Grant No. 09A013).

Cite this article:

Zhang Deng-Yu(张登玉), Xie Li-Jun(谢利军), Tang Shi-Qing(唐世清), Zhan Xiao-Gui(詹孝贵), Chen Yin-Hua(陈银花), and Gao Feng(高峰) Tripartite states Bell-nonlocality sudden death in a quantum-critical environment 2010 Chin. Phys. B 19 100305

[1]	Yu T and Eberly J H 2004 Phys. Rev. Lett. 93 140404
[2]	Yu T and Eberly J H 2006 Phys. Rev. Lett. 97 140303
[3]	Yu T and Eberly J H 2006 Opt. Commun. 264 393
[4]	Eberly J H and Yu T 2007 Science 316 555
[5]	Ann K and Jaeger G 2007 Phys. Rev. A 76 044101
[6]	Ann K and Jaeger G 2008 Phys. Lett. A 372 579
[7]	Ann K and Jaeger G 2007 Phys. Rev. B 75 115307
[8]	Bennett C H, Bernstein H, Popescu S and Schumacher B 1996 Phys. Rev. A 53 2046
[9]	Bennett C H, Popescu S, Rohrlich D, Smolin J A and Thapliyal A V 2000 Phys. Rev. A 63 012307
[10]	Jaeger G and Ann K 2008 Phys. Lett. A 372 2212
[11]	Yang Q, Yang M and Cao Z L 2008 Phys. Lett. A 372 6843
[12]	Qiu L, Wang A M, Su X Q and Ma X S 2008 Opt. Commun. 281 5475
[13]	Zhang D Y, Xie L J, Tang S Q, Zhan X G and Gao F 2009 Chin. Phys. Lett. 26 080301
[14]	Lu H X 2007 Chin. Phys. 16 1878
[15]	Ma X S and Wang A M 2008 Acta Phys. Sin. 57 2026 (in Chinese)
[16]	Sun Z and Wang X G 2007 Phys. Rev. A 75 062312
[17]	Ma X S, Wang A M and Cao Y 2007 Phys. Rev. B 76 155327
[18]	Zukowski M and Brukner C 2002 Phys. Rev. Lett. 88 210401
[19]	Merin N D 1990 Phys. Rev. Lett. 65 1838
[20]	Ardehali M 1992 Phys. Rev. A 46 5375
[21]	Belinskii A V and Klyshko D N 1993 Sov. Phys. Usp. 36 653
[22]	Clauser J, Horne M, Shimony A and Holt R 1969 Phys. Rev. Lett. 23 880 endfootnotesize

[1]	Quantum nonlocality of generic family of four-qubit entangled pure states Ding Dong (丁东), He Ying-Qiu (何英秋), Yan Feng-Li (闫凤利), Gao Ting (高亭). Chin. Phys. B, 2015, 24(7): 070301.
[2]	Tripartite states Bell-nonlocality sudden death in a spin environment with multisite interaction Xie Li-Jun(谢利军), Zhang Deng-Yu(张登玉), Wang Xin-Wen(汪新文) Zhan Xiao-Gui(詹孝贵), Tang Shi-Qing(唐世清), and Gao Feng(高峰) . Chin. Phys. B, 2011, 20(8): 080301.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Tripartite states Bell-nonlocality sudden death in a quantum-critical environment

Cite this article:

Online attention