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.
Received: 18 November 2007
Revised: 25 December 2007
Accepted manuscript online:
(Quantized spin models, including quantum spin frustration)
Fund: Project
supported by the National Natural Science Foundation of China (Grant
No 10374025) and the Education Ministry of Hunan
Province, China (Grant No 06A038).
Cite this article:
Huang Li-Yuan(黄利元) and Fang Mao-Fa(方卯发) Thermal entanglement and teleportation of a thermally mixed entangled state of a Heisenberg chain through a Werner state 2008 Chin. Phys. B 17 2339
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