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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) |
Department of Physics and Electronic Information Science, Hengyang Normal University, Hengyang 421008, China |
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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.
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Received: 30 January 2010
Revised: 17 March 2010
Accepted manuscript online:
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PACS:
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03.65.Ud
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(Entanglement and quantum nonlocality)
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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03.67.Lx
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(Quantum computation architectures and implementations)
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05.50.+q
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(Lattice theory and statistics)
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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
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