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

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

中国物理B ›› 2011, Vol. 20 ›› Issue (8): 80301-080301.doi: 10.1088/1674-1056/20/8/080301

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

谢利军, 张登玉, 汪新文, 詹孝贵, 唐世清, 高峰

Department of Physics and Electronic Information Science, Hengyang Normal University, Hengyang 421008, China

收稿日期:2010-12-14 修回日期:2011-03-16 出版日期:2011-08-15 发布日期:2011-08-15
基金资助:
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).

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)

Department of Physics and Electronic Information Science, Hengyang Normal University, Hengyang 421008, China

Received:2010-12-14 Revised:2011-03-16 Online:2011-08-15 Published:2011-08-15
Supported by:
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).

摘要/Abstract

摘要： 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.

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.

Key words: Bell-type inequality, Bell-nonlocality sudden death, three-site interaction

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

03.67.Mn (Entanglement measures, witnesses, and other characterizations)

谢利军, 张登玉, 汪新文, 詹孝贵, 唐世清, 高峰. Tripartite states Bell-nonlocality sudden death in a spin environment with multisite interaction[J]. 中国物理B, 2011, 20(8): 80301-080301.

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[J]. Chin. Phys. B, 2011, 20(8): 80301-080301.

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

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

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