量子电子学报 ›› 2022, Vol. 39 ›› Issue (5): 761-767.doi: 10.3969/j.issn.1007-5461.2022.05.009

• 量子光学 • 上一篇    下一篇

基于纠缠源的非线性贝尔不等式研究

戴 攀, 庞志广, 李 剑, 王 琴∗   

  1. ( 南京邮电大学通信与信息工程学院, 江苏 南京 210003 ) 
  • 收稿日期:2021-02-19 修回日期:2021-04-19 出版日期:2022-09-28 发布日期:2022-09-28
  • 通讯作者: E-mail: qinw@njupt.edu.cn E-mail:E-mail: qinw@njupt.edu.cn
  • 作者简介:戴 攀 ( 1995 - ), 江苏南京人, 研究生, 从事量子光学方面的研究。 E-mail: 895621604@qq.com
  • 基金资助:
    Supported by the Leading-edge Technology Program of Jiangsu Natural Science Foundation (江苏省自然科学基金前沿引领技术基础研究专项, BK20192001)

Nonlinear Bell inequality based on entanglement sources

DAI Pan, PANG Zhiguang, LI Jian, WANG Qin ∗   

  1. ( School of Communication and Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210003, China )
  • Received:2021-02-19 Revised:2021-04-19 Published:2022-09-28 Online:2022-09-28

摘要: 相较于线性贝尔 (Bell) 不等式, 非线性 Bell 不等式作为一种判据提供了一种新的判别量子关联的方法, 利用非线性 Bell 不等式来研究纠缠态的性质具有重要的现实意义。考虑带有噪声参数的纠缠态可以模拟实际 的量子通信过程, 通过 Matlab 进行数值优化找到相应态的最优测量算符, 研究了噪声参数对非线性 Bell 不等式 违背的影响。研究结果表明带有噪声的纠缠态在特定情况下也可以违背非线性 Bell 不等式, 而且测量数量越多, 对纠缠态的要求越苛刻, 这对于实际实验中态的选取与制备具有重要的借鉴和参考意义。

关键词: 量子光学, 非局域性, 贝尔型不等式, 非线性, 最大量子违背

Abstract: Compared with linear Bell inequality, nonlinear Bell inequality provides a new method of verifying quantum correlations as a new type of criterion. It is practically important to study the properties of entanglement states by using nonlinear Bell inequality. Considering that the entanglement state with noise can simulate the actual quantum communication process, the optimal measurement operator of the corresponding state is found through numerical optimization based on Matlab, and the influence of noise parameters on the violation of nonlinear Bell inequality is studied. The results show that the entanglement state with noise can also violate the nonlinear Bell inequality in specific circumstances, and the more the number of measurements are, the more stringent the requirement of entanglement state will be. The results are important for the selection and preparation of states in actual experiments.

Key words: quantum optics, non-locality, Bell-like inequality, non-linearity, maximum quantum violation

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