I_{3322}不等式的量子违背研究

量子电子学报 ›› 2021, Vol. 38 ›› Issue (1): 50-56.

I_{3322}不等式的量子违背研究

郭梦琪1,2, 巩龙延1∗

1 南京邮电大学理学院, 江苏省新能源技术工程实验室, 江苏南京210003; 2 南京邮电大学信号处理与传输研究院, 江苏南京210003

收稿日期:2020-05-28 修回日期:2020-07-28 出版日期:2021-01-28 发布日期:2021-02-01
通讯作者: E-mail: LYGONG@njupt.edu.cn E-mail:lygong@njupt.edu.cn
作者简介:郭梦琪( 1997 - ), 女, 江苏盐城人, 研究生, 从事量子光学方面的研究。E-mail: sss−heavenguo@163.com
基金资助:
Supported by National Natural Science Foundation of China (国家自然科学基金, 61271238, 61475075)

Quantum violation of I_{3322} inequality

GUO Mengqi1,2, GONG Longyan1∗

1 College of Science and New Energy Technology Engineering of Jiangsu Province, Nanjing University of Posts and Telecommunications, Nanjing 210003, China; 2 Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunications, Nanjing 210003, China

Received:2020-05-28 Revised:2020-07-28 Published:2021-01-28 Online:2021-02-01

摘要/Abstract

摘要： 量子非定域性是量子信息处理的重要资源。最近, I3322 不等式作为判别量子非定域性的标准引起了广泛关注。考虑实际检验过程中的非理想因素, 利用MATLAB 数值仿真方法, 详细研究了单一纠缠态、混合纠缠态以及噪声信道等对该不等式量子违背的影响。研究发现对单一纠缠态, 当纠缠度大到一定程度, 不等式才能被违背; 对混合纠缠态, 在较大参数范围内, 不等式也能被违背; 得到两Kraus 算子表示的信道影响下不等式违背与不违背在噪声参数空间的相图。这些结果对基于I3322 不等式的量子信息处理技术的应用有一定理论意义。

关键词: 量子信息, 非定域性, Bell 型不等式, 最大量子违背, 量子噪声信道

Abstract: Quantum non-locality is a necessary resource for quantum information processing. Recently, I3322 inequality, used as a powerful tool for judging non-locality, has attracted much attention. Considering the non-ideal factors in judging non-locality, MATLAB is used to simulate the quantum violation of inequality influenced by an entanglement state, mixed entanglement states, and noise channels. Results show that for an entanglement state, quantum violation is found when the degree of entanglement is larger than a threshold value. For mixed entanglement states, quantum violation is found in larger parameter regions. Under two-Kraus-operator channels, phase diagram relating to quantum violation is found in the noise parameter space. The results are useful to quantum information processing based on I3322 inequality.

Key words: quantum information, non-locality, Bell-like inequality, maximum quantum violation; quantum noise channel

中图分类号:

O431.2

郭梦琪, 巩龙延∗. I_{3322}不等式的量子违背研究[J]. 量子电子学报, 2021, 38(1): 50-56.

GUO Mengqi, GONG Longyan∗. Quantum violation of I_{3322} inequality[J]. Chinese Journal of Quantum Electronics, 2021, 38(1): 50-56.

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