Simple bounds for one-shot pure-state distillation in general resource theories

Vijayan, MK; Chitambar, E; Hsieh, MH

Simple bounds for one-shot pure-state distillation in general resource theories

Vijayan, MK Chitambar, E Hsieh, MH

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Publisher:: American Physical Society (APS)
Publication Type:: Journal Article
Citation:: Physical Review A, 2020, 102, (5)
Issue Date:: 2020-11-04

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Field	Value	Language
dc.contributor.author	Vijayan, MK
dc.contributor.author	Chitambar, E
dc.contributor.author	Hsieh, MH
dc.date.accessioned	2021-03-15T03:44:28Z
dc.date.available	2021-03-15T03:44:28Z
dc.date.issued	2020-11-04
dc.identifier.citation	Physical Review A, 2020, 102, (5)
dc.identifier.issn	2469-9926
dc.identifier.issn	2469-9934
dc.identifier.uri	http://hdl.handle.net/10453/147152
dc.description.abstract	© 2020 American Physical Society. We present bounds for distilling many copies of a pure state from an arbitrary initial state in a general quantum resource theory. Our bounds apply to operations that are able to generate no more than a δ amount of resource, where δ≥0 is a given parameter. To maximize applicability of our upper bound, we assume little structure on the set of free states under consideration besides a weak form of superadditivity of the function Gmin(ρ), which measures the overlap between ρ and the set of free states. Our bounds are given in terms of this function and the robustness of resource. Known results in coherence and entanglement theory are reproduced in this more general framework.
dc.language	en
dc.publisher	American Physical Society (APS)
dc.relation.ispartof	Physical Review A
dc.relation.isbasedon	https://dx.doi.org/10.1103/PhysRevA.102.052403
dc.rights	"Vijayan, M. K.; Chitambar, E.; Hsieh, M. H., Physical Review A, volume 102 (5), 10.1103/PhysRevA.102.052403 , 2020. "Copyright (2020) by the American Physical Society."
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	Hsieh, MH & Chitambar, E & Vijayan, MK, Physical Review A, 2020, 102, (5) https://dx.doi.org/10.1103/PhysRevA.102.052403 2020. Copyright 2020 by the American Physical Society.	en_US
dc.subject	01 Mathematical Sciences, 02 Physical Sciences, 03 Chemical Sciences
dc.subject.classification	General Physics
dc.title	Simple bounds for one-shot pure-state distillation in general resource theories
dc.type	Journal Article
utslib.citation.volume	102
utslib.for	01 Mathematical Sciences
utslib.for	02 Physical Sciences
utslib.for	03 Chemical Sciences
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/Faculty of Engineering and Information Technology/School of Computer Science
utslib.copyright.status	open_access	*
pubs.consider-herdc	false
dc.date.updated	2021-03-15T03:44:26Z
pubs.issue	5
pubs.publication-status	Published
pubs.volume	102
utslib.citation.issue	5

Abstract:

© 2020 American Physical Society. We present bounds for distilling many copies of a pure state from an arbitrary initial state in a general quantum resource theory. Our bounds apply to operations that are able to generate no more than a δ amount of resource, where δ≥0 is a given parameter. To maximize applicability of our upper bound, we assume little structure on the set of free states under consideration besides a weak form of superadditivity of the function Gmin(ρ), which measures the overlap between ρ and the set of free states. Our bounds are given in terms of this function and the robustness of resource. Known results in coherence and entanglement theory are reproduced in this more general framework.

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http://hdl.handle.net/10453/147152