Quantifying Resources in General Resource Theory with Catalysts

Anshu, A; Hsieh, MH; Jain, R

Quantifying Resources in General Resource Theory with Catalysts

Anshu, A Hsieh, MH

Jain, R

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Publication Type:: Journal Article
Citation:: Physical Review Letters, 2018, 121 (19)
Issue Date:: 2018-11-09

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Field	Value	Language
dc.contributor.author	Anshu, A	en_US
dc.contributor.author	Hsieh, MH https://orcid.org/0000-0002-3396-8427	en_US
dc.contributor.author	Jain, R	en_US
dc.date.issued	2018-11-09	en_US
dc.identifier.citation	Physical Review Letters, 2018, 121 (19)	en_US
dc.identifier.issn	0031-9007	en_US
dc.identifier.uri	http://hdl.handle.net/10453/131790
dc.description.abstract	© 2018 American Physical Society. A question that is commonly asked in all areas of physics is how a certain property of a physical system can be used to achieve useful tasks and how to quantify the amount of such a property in a meaningful way. We answer this question by showing that, in a general resource-theoretic framework that allows the use of free states as catalysts, the amount of "resources" contained in a given state, in the asymptotic scenario, is equal to the regularized relative entropy of a resource of that state. While we need to place a few assumptions on our resource-theoretical framework, it is still sufficiently general, and its special cases include quantum resource theories of entanglement, coherence, asymmetry, athermality, nonuniformity, and purity. As a by-product, our result also implies that the amount of noise one has to inject locally to erase all the entanglement contained in an entangled state is equal to the regularized relative entropy of entanglement.	en_US
dc.relation.ispartof	Physical Review Letters	en_US
dc.relation.isbasedon	10.1103/PhysRevLett.121.190504	en_US
dc.subject.classification	General Physics	en_US
dc.title	Quantifying Resources in General Resource Theory with Catalysts	en_US
dc.type	Journal Article
utslib.citation.volume	19	en_US
utslib.citation.volume	121	en_US
utslib.for	0203 Classical Physics	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	02 Physical Sciences	en_US
utslib.for	09 Engineering	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	19	en_US
pubs.publication-status	Published	en_US
pubs.volume	121	en_US

Abstract:

© 2018 American Physical Society. A question that is commonly asked in all areas of physics is how a certain property of a physical system can be used to achieve useful tasks and how to quantify the amount of such a property in a meaningful way. We answer this question by showing that, in a general resource-theoretic framework that allows the use of free states as catalysts, the amount of "resources" contained in a given state, in the asymptotic scenario, is equal to the regularized relative entropy of a resource of that state. While we need to place a few assumptions on our resource-theoretical framework, it is still sufficiently general, and its special cases include quantum resource theories of entanglement, coherence, asymmetry, athermality, nonuniformity, and purity. As a by-product, our result also implies that the amount of noise one has to inject locally to erase all the entanglement contained in an entangled state is equal to the regularized relative entropy of entanglement.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/131790