Projection based lower bounds of concurrence for multipartite quantum systems

被引：1

作者：

Zhao, Hui ^{[1
]}

Zhang, MeiMing ^{[1
]}

Fei, Shao-Ming ^{[2
,3
]}

Jing, Naihuan ^{[4
]}

机构：

[1] Beijing Univ Technol, Coll Appl Sci, Beijing 100124, Peoples R China

[2] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

[3] Max Planck Inst Math Sci, D-04103 Leipzig, Germany

[4] North Carolina State Univ, Dept Math, Raleigh, NC 27695 USA

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2020年 / 59卷 / 06期

基金：

北京市自然科学基金; 中国国家自然科学基金;

关键词：

Concurrence; Entanglement; Monogamy inequality; ENTANGLEMENT;

D O I：

10.1007/s10773-020-04436-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the concurrence of arbitrary-dimensional multipartite quantum states. Analytical lower bounds of concurrence for tripartite quantum states are derived by projecting high-dimensional states to 2 circle times 2 circle times 2 substates. The results are then generalized to arbitrary multipartite quantum systems. Furthermore, the scheme enables us obtain lower bounds of concurrence for arbitrary four-partite quantum states by projecting high-dimensional states to arbitrary given lower dimensional substates. By detailed examples we show that our results improve the existing lower bounds of concurrence.

引用

页码：1688 / 1698

页数：11

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