任意熵纠缠平方的单配性关系

doi:10.3969/j.issn.1007-5461.2021.03.014

量子电子学报 ›› 2021, Vol. 38 ›› Issue (3): 374-381.doi: 10.3969/j.issn.1007-5461.2021.03.014

任意熵纠缠平方的单配性关系

苑光明1∗, 董明慧1, 王学文1, 唐顺磊1, 白志明2

1 齐鲁理工学院基础部, 山东济南250200; 2 河北科技大学理学院, 河北石家庄050018

收稿日期:2019-10-17 修回日期:2020-04-10 出版日期:2021-05-28 发布日期:2021-05-28
通讯作者: E-mail: yuan949147646@163.com
作者简介:苑光明( 1990 - ), 山东人, 硕士, 主要从事量子光学方面的研究。E-mail: yuan949147646@163.com
基金资助:
Supported by Foundation of Qilu Institute of Technology (齐鲁理工学院项目, JG201858/QL19K033)

Monogamy relation of squared R´enyi entropy entanglement

YUAN Guangming1∗, DONG Minghui1, WANG Xuewen1, TANG Shunlei1, BAI Zhiming2

1 Department of Basic, Qilu Institute of Technology, Jinan 250200, China; 2 School of Science, Hebei University of Science and Technology, Shijiazhuang 050018, China

Received:2019-10-17 Revised:2020-04-10 Published:2021-05-28 Online:2021-05-28

摘要/Abstract

摘要： 纠缠单配性是量子纠缠中一类重要的物理性质, 意味着量子纠缠不能自由分布, 即一个量子系统与另一个量子系统的纠缠大小会限制此系统与其他量子系统的纠缠大小。采用数值分析方法研究了基于任意熵纠缠平方的单配性关系, 利用任意熵纠缠平方与并发度平方之间的函数关系式性质和并发度平方的单配性, 论证了任意熵纠缠平方的新型单配性关系。结果表明, 所提出基于任意熵纠缠平方的单配性关系比文献[4] 提出的基于任意熵纠缠的单配性关系适用范围更广, 且比文献[10] 提出的任意熵纠缠平方的单配性关系更加严格。

关键词: 量子光学, 纠缠, 任意熵纠缠, 单配性关系, 并发度

Abstract: Entanglement monogamy is an important physical property of quantum entanglement, which means that quantum entanglement cannot be distributed freely, that is, the entanglement size of one quantum system with another quantum system will limit the entanglement size of this system with other quantum systems. By means of numerical analysis, the monogamy relation of squared Rényi entropy entanglement is investigated. The function relation between the squared Rényi entropy entanglement and the squared concurrence, and the monogamy relation of squared concurrence are used to prove the new monogamy relation of squared Rényi entropy entanglement. Results show that the proposed monogamy relation of squared Rényi entropy entanglement is more applicable than that of Rényi entropy entangle- ment in reference [4], and more rigorous than that of the squared Rényi entropy entanglement in reference [10].

Key words: quantum optics, entanglement, R′enyi entropy entanglement, monogamy relation, concur- rence

中图分类号:

O431.2

苑光明∗, 董明慧, 王学文, 唐顺磊, 白志明. 任意熵纠缠平方的单配性关系[J]. 量子电子学报, 2021, 38(3): 374-381.

YUAN Guangming∗, DONG Minghui, WANG Xuewen, TANG Shunlei, BAI Zhiming. Monogamy relation of squared R´enyi entropy entanglement[J]. Chinese Journal of Quantum Electronics, 2021, 38(3): 374-381.

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任意熵纠缠平方的单配性关系

Monogamy relation of squared R´enyi entropy entanglement

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