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

量子电子学报 ›› 2020, Vol. 37 ›› Issue (6): 704-710.

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

迪丽达尔· 海依提江, 阿拉帕提· 阿不力米提, 白慧婷, 阿依尼沙· 牙生, 艾则孜古丽· 阿不都克热木, 艾合买提· 阿不力孜∗

新疆师范大学物理与电子工程学院, 新疆乌鲁木齐830054

收稿日期:2019-10-28 修回日期:2020-01-12 出版日期:2020-11-28 发布日期:2020-11-28
通讯作者: E-mail: aahmad@126.com E-mail:aahmad@126.com
作者简介:迪丽达尔· 海依提江( 1994 - ), 女, 新疆伊犁人, 研究生, 主要从事量子光学与量子信息方面的研究。E-mail: 1369877463@qq.com
基金资助:
Supported by Fund for Less Developed Regions of National Natural Science Foundation of China (国家自然科学基金地区科学基金, 11864042), Tianshan Outstanding Talents of Xinjiang Uyghur Autonomous Region (The Second Level Training Candidates) (自治区天山英才工程第二层次培养人选项目)

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

Dildar Hitjan, Arapat Ablimit, BAI Huiting, Aynisa Yasen, Aziza Abdukerem, Ahmad Abliz ∗

School of Physics and Electronic Engineering, Xinjiang Normal University, Urumchi 830054, China

Received:2019-10-28 Revised:2020-01-12 Published:2020-11-28 Online:2020-11-28

摘要/Abstract

摘要： 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。

关键词: 量子光学, 非马尔科夫环境, 量子态扩散方法, 量子隐形传态

Abstract: 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.

Key words: quantum optics, non-Markovian environment, quantum state diffusion method, quantum teleportation

中图分类号:

O431.2

迪丽达尔· 海依提江, 阿拉帕提· 阿不力米提, 白慧婷, 阿依尼沙· 牙生, 艾则孜古丽· 阿不都克热木, 艾合买提· 阿不力孜∗. 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[J]. 量子电子学报, 2020, 37(6): 704-710.

Dildar Hitjan, Arapat Ablimit, BAI Huiting, Aynisa Yasen, Aziza Abdukerem, Ahmad Abliz ∗. Effect of non-Markovian environment on quantum teleportation via a two-qubit Heisenberg XXZ spin chain[J]. Chinese Journal of Quantum Electronics, 2020, 37(6): 704-710.

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