Tripartite states Bell-nonlocality sudden death in a spin environment with multisite interaction

doi:10.1088/1674-1056/20/8/080301

Abstract This paper demonstrates that multipartite Bell-inequality violations can be fully destroyed in a finite time in three-qubit states coupled to a general XY spin-chain with a three-site interaction environment. The Mermin—Ardehali—Belinksii—Klyshko inequality is used 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 the environment and the strength of the three-site interaction on the Bell-inequality violations are given. The results indicate that the Bell-inequality violations of the tripartite states will be completely destroyed by decoherence under certain conditions for the GHZ state. The decoherence-free subspaces of our model are identified and the entanglement of quantum states is also discussed.

Keywords: Bell-type inequality Bell-nonlocality sudden death three-site interaction

Received: 14 December 2010
Revised: 16 March 2011
Accepted manuscript online:

PACS:	03.65.Ud	(Entanglement and quantum nonlocality)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11004050), the Scientific Research Fund of Hunan Provincial Education Department of China (Grant Nos. 09A013 and 10B013), the Science and Technology Research Foundation of Hunan Province of China (Grant No. 2010FJ4120), the Excellent Talents Program of Hengyang Normal University of China (Grant No. 2010YCJH01), and the Science Foundation of Hengyang Normal University of China (Grant Nos. 10A46 and 10B69).

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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) Tripartite states Bell-nonlocality sudden death in a spin environment with multisite interaction 2011 Chin. Phys. B 20 080301

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[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 quantum-critical environment 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). Chin. Phys. B, 2010, 19(10): 100305.

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Tripartite states Bell-nonlocality sudden death in a spin environment with multisite interaction

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