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
收藏
页数：13
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