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arXiv quant-ph/0703019quant-ph
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具有Dzyaloshinski-Moriya各向异性反对称相互作用的两量子比特Heisenberg链的热纠缠和量子隐形传态

Thermal entanglement and teleportation in a two-qubit Heisenberg chain with Dzyaloshinski-Moriya anisotropic antisymmetric interaction

Guo-Feng Zhang

摘要:

研究了在Dzyaloshinski-Moriya(DM)各向异性反对称相互作用下两量子比特Heisenberg链的热纠缠以及利用两个独立的Heisenberg链作为量子信道时的纠缠隐形传态.结果表明,DM相互作用可以激发量子纠缠和隐形传态保真度。输出纠缠度随输入纠缠度的增加而线性增加,详细给出了输出纠缠度随温度、DM相互作用和自旋耦合常数的变化关系。当DM相互作用关闭且温度较低时,通过反铁磁自旋链可以更好地实现纠缠隐形传态。然而,DM相互作用的引入可以使铁磁自旋链成为一个更好的量子信道用于隐形传态。无论是反铁磁自旋链还是铁磁自旋链,都需要模型中热态的最小纠缠来实现纠缠隐形传态。

英文摘要:

Thermal entanglement of a two-qubit Heisenberg chain in presence of the Dzyaloshinski-Moriya (DM) anisotropic antisymmetric interaction and entanglement teleportation when using two independent Heisenberg chains as quantum channel are investigated. It is found that the DM interaction can excite the entanglement and teleportation fidelity. The output entanglement increases linearly with increasing value of input one, its dependences on the temperature, DM interaction and spin coupling constant are given in detail. Entanglement teleportation will be better realized via antiferromagnetic spin chain when the DM interaction is turned off and the temperature is low. However, the introduction of DM interaction can cause the ferromagnetic spin chain to be a better quantum channel for teleportation. A minimal entanglement of the thermal state in the model is needed to realize the entanglement teleportation regardless of antiferromagnetic or ferromagnetic spin chains.

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