Efficient detection for quantum states containing fewer than k unentangled particles in multipartite quantum systems

被引：0

作者：

Xing, Yabin ^{[1
]}

Hong, Yan ^{[1
]}

Gao, Limin ^{[1
]}

Gao, Ting ^{[2
]}

Yan, Fengli ^{[3
]}

机构：

[1] Hebei GEO Univ, Sch Math & Sci, Shijiazhuang 050031, Peoples R China

[2] Hebei Normal Univ, Sch Math Sci, Shijiazhuang 050024, Peoples R China

[3] Hebei Normal Univ, Coll Phys, Hebei Key Lab Photophys Res & Applicat, Shijiazhuang 050024, Peoples R China

来源：

QUANTUM INFORMATION PROCESSING | 2024年 / 23卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Multipartite quantum system; Unentangled particle; Detection; SEPARABILITY CRITERION; ENTANGLEMENT;

D O I：

10.1007/s11128-023-04233-5

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we mainly investigate the detection of quantum states containing fewer than k unentangled particles in multipartite quantum systems. Based on inequalities of nonlinear operators, we derive two families of criteria for detecting N-partite quantum states containing fewer than k unentangled particles. By concrete examples, we point out that both families of criteria can identify some quantum states containing fewer than k unentangled particles that cannot be tested by known criteria. This demonstrates the effectiveness of our criteria.

引用

页数：13

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