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Detecting Gaussian entanglement via local quantities
Fu, Shuangshuang1; Luo, Shunlong2,3; Zhang, Yue4,5
2021-07-01
发表期刊EPL
ISSN0295-5075
卷号135期号:2页码:7
摘要Entanglement detection and quantification usually require the knowledge of correlations and thus is a global issue. For both theoretical and practical reasons, it is desirable to characterize entanglement via local quantities. Of course, this can only be achieved in special setups with some underlying structure encoding the correlations. For the often encountered bilinear interactions such as beamsplitter experiments, we propose an operational and friendly entanglement criterion for the two-mode Gaussian output states. Specifically, we show that in order to detect and evaluate the entanglement of the output states of a bilinear interaction involving uncorrelated Gaussian input states, we do not need to know the joint covariance matrix of the whole two-mode output states. Instead, we only need the respective covariances of the reduced states of the two input modes and that of the two output modes, which are all local quantities pertaining to a single mode and can be easily measured locally without explicitly considering the correlations between the modes. This is achieved by exploiting the input-output characteristics of bilinear interactions. The result recasts the celebrated entanglement criteria of Simon (Phys. Rev. Lett., 84 (2000) 2726) and Duan et al. (Phys. Rev. Lett., 84 (2000) 2722) into a more convenient and simple form. Copyright (C) 2021 EPLA
DOI10.1209/0295-5075/135/20004
收录类别SCI
语种英语
资助项目Fundamental Research Funds for the Central Universities[FRF-TP-19-012A3] ; National Natural Science Foundation of China[11875317] ; National Natural Science Foundation of China[61833010]
WOS研究方向Physics
WOS类目Physics, Multidisciplinary
WOS记录号WOS:000731516500004
出版者IOP Publishing Ltd
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/59680
专题应用数学研究所
通讯作者Zhang, Yue
作者单位1.Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100088, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
4.Beijing Acad Quantum Informat Sci, Beijing 100193, Peoples R China
5.Peking Univ, Frontiers Sci Ctr Nanooptoelect, Sch Phys, State Key Lab Mesoscop Phys, Beijing 100871, Peoples R China
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Fu, Shuangshuang,Luo, Shunlong,Zhang, Yue. Detecting Gaussian entanglement via local quantities[J]. EPL,2021,135(2):7.
APA Fu, Shuangshuang,Luo, Shunlong,&Zhang, Yue.(2021).Detecting Gaussian entanglement via local quantities.EPL,135(2),7.
MLA Fu, Shuangshuang,et al."Detecting Gaussian entanglement via local quantities".EPL 135.2(2021):7.
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