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Title:
Detecting consistency of overlapping quantum marginals by separability
Author: Chen, JX ; Ji, ZF ; Yu, NK ; Zeng, B
Source: PHYSICAL REVIEW A
Issued Date: 2016
Volume: 93, Issue:3
Indexed Type: SCI
Department: Univ Maryland, Joint Ctr Quantum Informat & Comp Sci, College Pk, MD 20742 USA. Univ Waterloo, Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada. Chinese Acad Sci, Inst Software, State Key Lab Comp Sci, Beijing, Peoples R China. Univ Guelph, Dept Math & Stat, Guelph, ON N1G 2W1, Canada. Canadian Inst Adv Res, Toronto, ON, Canada.
Abstract: The quantum marginal problem asks whether a set of given density matrices are consistent, i.e., whether they can be the reduced density matrices of a global quantum state. Not many nontrivial analytic necessary (or sufficient) conditions are known for the problem in general. We propose a method to detect consistency of overlapping quantum marginals by considering the separability of some derived states. Our method works well for the k-symmetric extension problem in general and for the general overlapping marginal problems in some cases. Our work is, in some sense, the converse to the well-known k-symmetric extension criterion for separability.
English Abstract: The quantum marginal problem asks whether a set of given density matrices are consistent, i.e., whether they can be the reduced density matrices of a global quantum state. Not many nontrivial analytic necessary (or sufficient) conditions are known for the problem in general. We propose a method to detect consistency of overlapping quantum marginals by considering the separability of some derived states. Our method works well for the k-symmetric extension problem in general and for the general overlapping marginal problems in some cases. Our work is, in some sense, the converse to the well-known k-symmetric extension criterion for separability.
Language: 英语
WOS ID: WOS:000371390900001
Citation statistics:
Content Type: 期刊论文
URI: http://ir.iscas.ac.cn/handle/311060/17342
Appears in Collections:软件所图书馆_期刊论文

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Recommended Citation:
Chen, JX,Ji, ZF,Yu, NK,et al. Detecting consistency of overlapping quantum marginals by separability[J]. PHYSICAL REVIEW A,2016-01-01,93(3).
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