非马尔科夫环境中海森堡XYZ自旋链的隐形传态

Teleportation of Heisenberg XYZ Spin Chains in Non-Markov Environments

利用量子隐形传态方案研究两比特各向异性海森堡XYZ模型隐形传态保真度随时间的演化过程.以最大纠缠态| ψ _(AB) 〉= 1 /√2 (|11〉+|00〉)作为信道,通过量子态扩散方法求解非马尔科夫主方程,从而获得系统的约化密度矩阵;再通过标准的隐形传态方案计算海森堡XYZ自旋链的平均保真度.经过研究发现:当环境关联系数γ较小时,平均保真度明显地呈现出上升的趋势,这表明非马尔科夫环境能够增加平均保真度;同时较大的自旋耦合系数J和余弦磁场强度B也能够增加平均保真度.

In this paper, we study the evolution of the two-bits anisotropic Heisenberg XYZ model over time using the quantum teleportation scheme proposed. Using the maximum entangled state| ψ _(AB) 〉= 1 /√2 (|11〉+|00〉)as a channel, the non-Markovian master equation is solved by the quantum state diffusion method to obtain the approximate density matrix of the system. The average fidelity of the Heisenberg XYZ spin chain was successfully calculated using a standard teleportation scheme. It was found that when the environmental correlation coefficient γ is small, the average fidelity obviously shows an upward trend, indicating that the non-Markovian environment can increase the mean fidelity. Also the larger spin coupling coefficient J and cosine magnetic field strength B are able to increase the mean fidelity.