中国物理B ›› 2010, Vol. 19 ›› Issue (10): 100305-100305.doi: 10.1088/1674-1056/19/10/100305

• GENERAL • 上一篇    下一篇

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

张登玉, 谢利军, 唐世清, 詹孝贵, 陈银花, 高峰   

  1. Department of Physics and Electronic Information Science, Hengyang Normal University, Hengyang 421008, China
  • 收稿日期:2010-01-30 修回日期:2010-03-17 出版日期:2010-10-15 发布日期:2010-10-15
  • 基金资助:
    Project supported by the Key Scientific Research Fund of the Education Department of Hunan Province of China (Grant No. 09A013).

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)   

  1. Department of Physics and Electronic Information Science, Hengyang Normal University, Hengyang 421008, China
  • Received:2010-01-30 Revised:2010-03-17 Online:2010-10-15 Published:2010-10-15
  • Supported by:
    Project supported by the Key Scientific Research Fund of the Education Department of Hunan Province of China (Grant No. 09A013).

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摘要： 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.

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.

Key words: Bell-type inequality, Bell-nonlocality sudden death, quantum-critical environment

中图分类号:  (Entanglement and quantum nonlocality)

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