Numerical detection of Gaussian entanglement and its application to the identification of bound entangled Gaussian states

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成果类型：

期刊论文

作者：

Ma, Shan;Xue, Shibei;Guo, Yu;Shu, Chuan-Cun*

通讯作者：

Shu, Chuan-Cun

作者机构：

[Ma, Shan] Cent South Univ, Sch Automat, Changsha 410083, Peoples R China.

[Ma, Shan] Peng Cheng Lab, Shenzhen 518000, Peoples R China.

[Xue, Shibei] Shanghai Jiao Tong Univ, Dept Automat, Shanghai 200240, Peoples R China.

[Xue, Shibei] Minist Educ China, Key Lab Syst Control & Informat Proc, Shanghai 200240, Peoples R China.

[Guo, Yu] Changsha Univ Sci & Technol, Sch Phys & Elect Sci, Hunan Prov Key Lab Flexible Elect Mat Genome Engn, Changsha 410114, Peoples R China.

通讯机构：

[Shu, Chuan-Cun] C

Cent South Univ, Hunan Key Lab Super Microstruct & Ultrafast Proc, Sch Phys & Elect, Changsha 410083, Peoples R China.

语种：

英文

关键词：

Entanglement;Separability;Gaussian states;Bound entanglement;Continuous variable

期刊：

QUANTUM INFORMATION PROCESSING

ISSN：

1570-0755

年：

2020

卷：

期：

页码：

1-14

DOI：

10.1007/s11128-020-02726-1

基金类别：

National Natural Science Foundation of China (NSFC)National Natural Science Foundation of China (NSFC) [61803389, 61873162, 61973317]; Shanghai Pujiang ProgramShanghai Pujiang Program [18PJ1405500]; Hunan Provincial Natural Science Foundation of ChinaNatural Science Foundation of Hunan Province [2017JJ2272]

机构署名：

本校为其他机构

院系归属：

物理与电子科学学院

摘要：

We present a numerical method for solving the separability problem of Gaussian quantum states in continuous-variable quantum systems. We show that the separability problem can be cast as an equivalent problem of determining the feasibility of a set of linear matrix inequalities. Thus, it can be efficiently solved using existent numerical solvers. We apply this method to the identification of bound entangled Gaussian states. We show that the proposed method can be used to identify bound entangled Gaussian states tha...

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Numerical detection of Gaussian entanglement and its application to the identification of bound entangled Gaussian states

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