Nonadditivity of Rains' bound for distillable entanglement

Wang, X; Duan, R

Nonadditivity of Rains' bound for distillable entanglement

Wang, X

Duan, R

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Publication Type:: Journal Article
Citation:: Physical Review A, 2017, 95 (6)
Issue Date:: 2017-06-14

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Field	Value	Language
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	2017-06-14	en_US
dc.identifier.citation	Physical Review A, 2017, 95 (6)	en_US
dc.identifier.issn	2469-9926	en_US
dc.identifier.uri	http://hdl.handle.net/10453/109117
dc.description.abstract	© 2017 American Physical Society. Rains' bound is arguably the best known upper bound of the distillable entanglement by operations completely preserving positivity of partial transpose (PPT) and was conjectured to be additive and coincide with the asymptotic relative entropy of entanglement. We disprove both conjectures by explicitly constructing a special class of mixed two-qubit states. We then introduce an additive semidefinite programming lower bound (EM) for the asymptotic Rains' bound, and it immediately becomes a computable lower bound for entanglement cost of bipartite states. Furthermore, EM is also proved to be the best known upper bound of the PPT-assisted deterministic distillable entanglement and gives the asymptotic rates for all pure states and some class of genuinely mixed states.	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.95.062322	en_US
dc.subject.classification	General Physics	en_US
dc.title	Nonadditivity of Rains' bound for distillable entanglement	en_US
dc.type	Journal Article
utslib.citation.volume	6	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/Strength - QSI - Centre for Quantum Software and Information
pubs.organisational-group	/University of Technology Sydney/Students
utslib.copyright.status	open_access
pubs.issue	6	en_US
pubs.publication-status	Published	en_US
pubs.volume	95	en_US

Abstract:

© 2017 American Physical Society. Rains' bound is arguably the best known upper bound of the distillable entanglement by operations completely preserving positivity of partial transpose (PPT) and was conjectured to be additive and coincide with the asymptotic relative entropy of entanglement. We disprove both conjectures by explicitly constructing a special class of mixed two-qubit states. We then introduce an additive semidefinite programming lower bound (EM) for the asymptotic Rains' bound, and it immediately becomes a computable lower bound for entanglement cost of bipartite states. Furthermore, EM is also proved to be the best known upper bound of the PPT-assisted deterministic distillable entanglement and gives the asymptotic rates for all pure states and some class of genuinely mixed states.

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http://hdl.handle.net/10453/109117