Detecting Gaussian entanglement via local quantities

doi:10.1209/0295-5075/135/20004

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	Detecting Gaussian entanglement via local quantities
	Fu, Shuangshuang 5; Luo, Shunlong 1,4; Zhang, Yue 2,3
刊名	EPL
	2021-07-01
卷号	135 期号:2 页码:7
ISSN号	0295-5075
DOI	10.1209/0295-5075/135/20004
英文摘要	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
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
语种	英语
出版者	IOP Publishing Ltd
WOS记录号	WOS:000731516500004
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/59679]
专题	应用数学研究所
通讯作者	Zhang, Yue
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Peking Univ, Frontiers Sci Ctr Nanooptoelect, Sch Phys, State Key Lab Mesoscop Phys, Beijing 100871, Peoples R China 3.Beijing Acad Quantum Informat Sci, Beijing 100193, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 5.Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100088, Peoples R China
推荐引用方式 GB/T 7714	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.