中国物理B ›› 2009, Vol. 18 ›› Issue (8): 3203-3209.doi: 10.1088/1674-1056/18/8/018

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Thermal entanglement and teleportation in a three-qubit Heisenberg XXZ model with Dzyaloshinski--Moriya anisotropic antisymmetric interaction

张登玉1, 詹孝贵1, 高峰1, 谢利军2, 唐世清2   

  1. (1)Department of Physics and Electronic Information Science, Hengyang Normal University, Hengyang 421008, China; (2)Faculty of Material and Photoelectronic Physics, Xiangtan University, Xiangtan 411005, China;Department of Physics and Electronic Information Science, Hengyang Normal University, Hengyang 421008, China
  • 收稿日期:2008-10-27 修回日期:2008-12-23 出版日期:2009-08-20 发布日期:2009-08-20
  • 基金资助:
    Project supported by the Natural Science Foundation of Hunan Province (Grant No 06JJ50118), the National Natural Science Foundation of China (Grant Nos 10604053 and 10874013).

Thermal entanglement and teleportation in a three-qubit Heisenberg XXZ model with Dzyaloshinski--Moriya anisotropic antisymmetric interaction

Xie Li-Jun(谢利军)a)b)†, Zhang Deng-Yu(张登玉)b), Tang Shi-Qing(唐世清)a)b), Zhan Xiao-Gui(詹孝贵)b), and Gao Feng(高峰)b)   

  1. a Faculty of Material and Photoelectronic Physics, Xiangtan University, Xiangtan 411005, China; b Department of Physics and Electronic Information Science, Hengyang Normal University, Hengyang 421008, China
  • Received:2008-10-27 Revised:2008-12-23 Online:2009-08-20 Published:2009-08-20
  • Supported by:
    Project supported by the Natural Science Foundation of Hunan Province (Grant No 06JJ50118), the National Natural Science Foundation of China (Grant Nos 10604053 and 10874013).

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摘要： This paper investigates the thermal pairwise entanglement of a three-qubit Heisenberg XXZ chain in the presence of the Dzyaloshinski--Moriya (DM) anisotropic antisymmetric interaction and quantum teleportation when using the Heisenberg chain as a channel. The entanglement dependences on the DM interaction and temperature are given in detail. It obtains the relation between the concurrence and average fidelity, and shows that the same concurrence can lead different average fidelities. Moreover, it finds the thermally entangled states which do not violate the Bell inequalities, and can still be used for quantum teleportation.

Abstract: This paper investigates the thermal pairwise entanglement of a three-qubit Heisenberg XXZ chain in the presence of the Dzyaloshinski--Moriya (DM) anisotropic antisymmetric interaction and quantum teleportation when using the Heisenberg chain as a channel. The entanglement dependences on the DM interaction and temperature are given in detail. It obtains the relation between the concurrence and average fidelity, and shows that the same concurrence can lead different average fidelities. Moreover, it finds the thermally entangled states which do not violate the Bell inequalities, and can still be used for quantum teleportation.

Key words: quantum teleportation, concurrence, fidelity, Bell inequality violation

中图分类号:  (Entanglement and quantum nonlocality)

  • 03.65.Ud
03.67.Lx (Quantum computation architectures and implementations) 03.67.Mn (Entanglement measures, witnesses, and other characterizations) 75.10.Jm (Quantized spin models, including quantum spin frustration)