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

作　　者：唐诗生 艾合买提·阿不力孜[1] TANG Shisheng;AHMAT Abiz(School of Physics and Electronic Engineering,Xinjiang Normal University,Urumqi 830054,Xinjiang;Jiangsu Haitou Senior High School,Lianyungang 222111,Jiangsu)

机构地区：[1]新疆师范大学物理与电子工程学院,新疆乌鲁木齐830054 [2]江苏省海头高级中学,江苏连云港222111

出　　处：《四川师范大学学报（自然科学版）》2023年第6期766-773,共8页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(11864042)。

摘　　要：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.

关 键 词：非马尔科夫量子态扩散方法 量子隐形传态 平均保真度 量子光学 

分 类 号：O431.2[机械工程—光学工程]