Indistinguishability of bipartite states by positive-partial-transpose operations in the many-copy scenario

Li, Y; Wang, X; Duan, R

Indistinguishability of bipartite states by positive-partial-transpose operations in the many-copy scenario

Li, Y Wang, X

Duan, R

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Publication Type:: Journal Article
Citation:: Physical Review A, 2017, 95 (5)
Issue Date:: 2017-05-30

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Field	Value	Language
dc.contributor.author	Li, Y	en_US
dc.contributor.author	Wang, X https://orcid.org/0000-0002-0641-3186	en_US
dc.contributor.author	Duan, R https://orcid.org/0000-0002-4388-7487	en_US
dc.date.issued	2017-05-30	en_US
dc.identifier.citation	Physical Review A, 2017, 95 (5)	en_US
dc.identifier.issn	2469-9926	en_US
dc.identifier.uri	http://hdl.handle.net/10453/109116
dc.description.abstract	© 2017 American Physical Society. A bipartite subspace S is called strongly positive-partial-transpose (PPT) unextendible if for every positive integer k, there is no PPT operator supporting on the orthogonal complement of S - k. We show that a subspace is strongly PPT unextendible if it contains a PPT-definite operator (a positive semidefinite operator whose partial transpose is positive definite). Based on these, we are able to propose a simple criterion for verifying whether a set of bipartite orthogonal quantum states is indistinguishable by PPT operations in the many-copy scenario. Utilizing this criterion, we further point out that any entangled pure state and its orthogonal complement cannot be distinguished by PPT operations in the many-copy scenario. On the other hand, we investigate that the minimum dimension of strongly PPT-unextendible subspaces in an m - n system is m+n-1, which involves a generalization of the result that non-positive-partial-transpose subspaces can be as large as any entangled subspace [N. Johnston, Phys. Rev. A 87, 064302 (2013)PLRAAN1050-294710.1103/PhysRevA.87.064302].	en_US
dc.relation	http://purl.org/au-research/grants/arc/DP120103776
dc.relation	http://purl.org/au-research/grants/arc/FT120100449
dc.relation.ispartof	Physical Review A	en_US
dc.relation.isbasedon	10.1103/PhysRevA.95.052346	en_US
dc.subject.classification	General Physics	en_US
dc.title	Indistinguishability of bipartite states by positive-partial-transpose operations in the many-copy scenario	en_US
dc.type	Journal Article
utslib.citation.volume	5	en_US
utslib.citation.volume	95	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	02 Physical Sciences	en_US
utslib.for	03 Chemical Sciences	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/Faculty of Engineering and Information Technology/School of Computer Science
pubs.organisational-group	/University of Technology Sydney/Strength - QSI - Centre for Quantum Software and Information
pubs.organisational-group	/University of Technology Sydney/Students
utslib.copyright.status	open_access
pubs.issue	5	en_US
pubs.publication-status	Published	en_US
pubs.volume	95	en_US

Abstract:

© 2017 American Physical Society. A bipartite subspace S is called strongly positive-partial-transpose (PPT) unextendible if for every positive integer k, there is no PPT operator supporting on the orthogonal complement of S - k. We show that a subspace is strongly PPT unextendible if it contains a PPT-definite operator (a positive semidefinite operator whose partial transpose is positive definite). Based on these, we are able to propose a simple criterion for verifying whether a set of bipartite orthogonal quantum states is indistinguishable by PPT operations in the many-copy scenario. Utilizing this criterion, we further point out that any entangled pure state and its orthogonal complement cannot be distinguished by PPT operations in the many-copy scenario. On the other hand, we investigate that the minimum dimension of strongly PPT-unextendible subspaces in an m - n system is m+n-1, which involves a generalization of the result that non-positive-partial-transpose subspaces can be as large as any entangled subspace [N. Johnston, Phys. Rev. A 87, 064302 (2013)PLRAAN1050-294710.1103/PhysRevA.87.064302].

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http://hdl.handle.net/10453/109116