中国物理B ›› 2008, Vol. 17 ›› Issue (7): 2339-2345.doi: 10.1088/1674-1056/17/7/003

• GENERAL • 上一篇    下一篇

Thermal entanglement and teleportation of a thermally mixed entangled state of a Heisenberg chain through a Werner state

黄利元, 方卯发   

  1. College of Physics and Information Science, Hunan Normal University, Changsha 410081, China
  • 收稿日期:2007-11-18 修回日期:2007-12-25 出版日期:2008-07-09 发布日期:2008-07-09
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10374025) and the Education Ministry of Hunan Province, China (Grant No 06A038).

Thermal entanglement and teleportation of a thermally mixed entangled state of a Heisenberg chain through a Werner state

Huang Li-Yuan(黄利元) and Fang Mao-Fa(方卯发)†   

  1. College of Physics and Information Science, Hunan Normal University, Changsha 410081, China
  • Received:2007-11-18 Revised:2007-12-25 Online:2008-07-09 Published:2008-07-09
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10374025) and the Education Ministry of Hunan Province, China (Grant No 06A038).

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摘要： The thermal entanglement and teleportation of a thermally mixed entangled state of a two-qubit Heisenberg $XXX$ chain under the Dzyaloshinski--Moriya (DM) anisotropic antisymmetric interaction through a noisy quantum channel given by a Werner state is investigated. The dependences of the thermal entanglement of the teleported state on the DM coupling constant, the temperature and the entanglement of the noisy quantum channel are studied in detail for both the ferromagnetic and the antiferromagnetic cases. The result shows that a minimum entanglement of the noisy quantum channel must be provided in order to realize the entanglement teleportation. The values of fidelity of the teleported state are also studied for these two cases. It is found that under certain conditions, we can transfer an initial state with a better fidelity than that for any classical communication protocol.

Abstract: The thermal entanglement and teleportation of a thermally mixed entangled state of a two-qubit Heisenberg $XXX$ chain under the Dzyaloshinski--Moriya (DM) anisotropic antisymmetric interaction through a noisy quantum channel given by a Werner state is investigated. The dependences of the thermal entanglement of the teleported state on the DM coupling constant, the temperature and the entanglement of the noisy quantum channel are studied in detail for both the ferromagnetic and the antiferromagnetic cases. The result shows that a minimum entanglement of the noisy quantum channel must be provided in order to realize the entanglement teleportation. The values of fidelity of the teleported state are also studied for these two cases. It is found that under certain conditions, we can transfer an initial state with a better fidelity than that for any classical communication protocol.

Key words: thermal entanglement, concurrence, entanglement teleportation

中图分类号:  (Entanglement and quantum nonlocality)

  • 03.65.Ud
03.67.Hk (Quantum communication) 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)