Entanglement polygon inequalities for a class of mixed states

doi:10.1088/1674-1056/ad8eb0

中国物理B ›› 2024, Vol. 33 ›› Issue (11): 110308-110308.doi: 10.1088/1674-1056/ad8eb0

Entanglement polygon inequalities for a class of mixed states

Xian Shi(石现)†

College of Information Science and Technology, Beijing University of Chemical Technology, Beijing 100029, China

收稿日期:2024-08-20 修回日期:2024-09-13 接受日期:2024-11-05 出版日期:2024-11-15 发布日期:2024-11-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 12301580).

Entanglement polygon inequalities for a class of mixed states

Xian Shi(石现)†

College of Information Science and Technology, Beijing University of Chemical Technology, Beijing 100029, China

Received:2024-08-20 Revised:2024-09-13 Accepted:2024-11-05 Online:2024-11-15 Published:2024-11-15
Contact: Xian Shi E-mail:shixian01@gmail.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 12301580).

摘要/Abstract

摘要： The study on the entanglement polygon inequality of multipartite systems has attracted much attention. However, most of the results are on pure states. Here we consider the property for a class of mixed states, which are the reduced density matrices of generalized $W$-class states in multipartite higher dimensional systems. First we show the class of mixed states satisfies the entanglement polygon inequalities in terms of Tsallis-$q$ entanglement, then we propose a class of tighter inequalities for mixed states in terms of Tsallis-$q$ entanglement. At last, we get an inequality for the mixed states, which can be regarded as a relation for bipartite entanglement.

关键词: entanglement polygon, inequality, $W$-class states, Tsallis-$q$ entanglement

Abstract: The study on the entanglement polygon inequality of multipartite systems has attracted much attention. However, most of the results are on pure states. Here we consider the property for a class of mixed states, which are the reduced density matrices of generalized $W$-class states in multipartite higher dimensional systems. First we show the class of mixed states satisfies the entanglement polygon inequalities in terms of Tsallis-$q$ entanglement, then we propose a class of tighter inequalities for mixed states in terms of Tsallis-$q$ entanglement. At last, we get an inequality for the mixed states, which can be regarded as a relation for bipartite entanglement.

Key words: entanglement polygon, inequality, $W$-class states, Tsallis-$q$ entanglement

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

03.67.Mn (Entanglement measures, witnesses, and other characterizations)

Xian Shi(石现). Entanglement polygon inequalities for a class of mixed states[J]. 中国物理B, 2024, 33(11): 110308-110308.

Xian Shi(石现). Entanglement polygon inequalities for a class of mixed states[J]. Chin. Phys. B, 2024, 33(11): 110308-110308.

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Entanglement polygon inequalities for a class of mixed states

Entanglement polygon inequalities for a class of mixed states

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