非马尔科夫环境对海森堡XXZ自旋链模型中量子隐形传态的影响

Effect of non-Markovian environment on quantum teleportation via a two-qubit Heisenberg XXZ spin chain

运用量子态扩散(QSD)理论研究了两比特海森堡XXZ自旋链模型与零温玻色库强耦合时量子隐形传态平均保真度的动力学演化特性,分析和讨论了不同量子信道下环境噪声关联系数γ、两比特间耦合常数Jxy和Jz、Dzyaloshinskii-Moriya(DM)相互作用以及外加磁场等参数对量子隐形传态的影响。研究结果表明:非马尔科夫环境的记忆效应可以有效地提高平均保真度。当量子信道为最大纠缠态时,增大耦合常数Jxy、DM相互作用或外加磁场可以获得最优平均保真度。然而改变量子信道时,比特间耦合常数Jxy和Jz对平均保真度的影响恰恰相反,说明比特间耦合常数对不同量子信道下平均保真度的影响不同。

The dynamic evolution of the average fidelity of quantum teleportation is investigated using quantum-state-diffusion(QSD)theory when two interacting qubits strongly coupled to a bosonic bath.The effects of environmental memory,anisotropic coupling parameters,Dzyaloshinskii-Moriya(DM)interaction and external magnetic field on quantum teleportation are analyzed and discussed.Results show that the memory effect of the environment can effectively improve the average fidelity.When the quantum channel is maximum entangled state,the optimal average fidelity can be obtained by increasing the coupling parameters,DM interaction or the external magnetic field.However,when the quantum channel is changed,the effect of the coupling constant between qubits on average fidelity is opposite.It indicates that the combination of the non-Markovian memory effect and optimal parameter can be used to achieve ideal quantum teleportation in theory.