Detecting consistency of overlapping quantum marginals by separability

Chen, J; Ji, Z; Yu, N; Zeng, B

Detecting consistency of overlapping quantum marginals by separability

Chen, J Ji, Z

Yu, N

Zeng, B

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Publication Type:: Journal Article
Citation:: Physical Review A, 2016, 93 (3)
Issue Date:: 2016-03-03

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Field	Value	Language
dc.contributor.author	Chen, J	en_US
dc.contributor.author	Ji, Z https://orcid.org/0000-0002-7659-3178	en_US
dc.contributor.author	Yu, N https://orcid.org/0000-0003-1188-3032	en_US
dc.contributor.author	Zeng, B	en_US
dc.date.issued	2016-03-03	en_US
dc.identifier.citation	Physical Review A, 2016, 93 (3)	en_US
dc.identifier.issn	2469-9926	en_US
dc.identifier.uri	http://hdl.handle.net/10453/43810
dc.description.abstract	© 2016 American Physical Society. 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.	en_US
dc.relation.ispartof	Physical Review A	en_US
dc.relation.isbasedon	10.1103/PhysRevA.93.032105	en_US
dc.title	Detecting consistency of overlapping quantum marginals by separability	en_US
dc.type	Journal Article
utslib.citation.volume	3	en_US
utslib.citation.volume	93	en_US
utslib.for	0802 Computation Theory and Mathematics	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - QSI - Centre for Quantum Software and Information
utslib.copyright.status	open_access
pubs.issue	3	en_US
pubs.publication-status	Published	en_US
pubs.volume	93	en_US

Abstract:

© 2016 American Physical Society. 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.

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http://hdl.handle.net/10453/43810