On genuine entanglement for tripartite systems

被引：3

作者：

Zhao, Hui ^{[1
]}

Liu, Lin ^{[1
]}

Wang, Zhi-Xi ^{[2
]}

Jing, Naihuan ^{[3
]}

Li, Jing ^{[4
]}

机构：

[1] Beijing Univ Technol, Fac Sci, Sch Math, Beijing 100124, Peoples R China

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

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

[4] Beijing Univ Technol, Fac Sci, Interdisciplinary Res Inst, Beijing 100124, Peoples R China

来源：

INTERNATIONAL JOURNAL OF QUANTUM INFORMATION | 2022年 / 20卷 / 02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：

Genuine entanglement; partial transposition; correlation tensor; Frobenius norm; SEPARABILITY CRITERION; BLOCH REPRESENTATION; QUANTUM;

D O I：

10.1142/S0219749921500386

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we investigate the genuine entanglement in tripartite systems based on partial transposition and the norm of correlation tensors of the density matrices. We first derive an analytical sufficient criterion to detect genuine entanglement of tripartite qubit states combining with the partial transposition of the density matrices. Then, we use the norm of correlation tensors to study genuine entanglement for tripartite qudit quantum states and obtain a genuine entanglement criterion by constructing certain matrices. With detailed examples, our results are seen to be able to detect more genuine tripartite entangled states than previous studies.

引用

页数：12

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