A resource theory of quantum measurements

Guff, T; McMahon, NA; Sanders, YR; Gilchrist, A

A resource theory of quantum measurements

Guff, T McMahon, NA Sanders, YR Gilchrist, A

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Publisher:: IOP Publishing Ltd
Publication Type:: Journal Article
Citation:: Journal of Physics A: Mathematical and Theoretical, 2021, 54, (22)
Issue Date:: 2021-06-01

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Field	Value	Language
dc.contributor.author	Guff, T
dc.contributor.author	McMahon, NA
dc.contributor.author	Sanders, YR
dc.contributor.author	Gilchrist, A
dc.date.accessioned	2022-02-28T03:54:36Z
dc.date.available	2022-02-28T03:54:36Z
dc.date.issued	2021-06-01
dc.identifier.citation	Journal of Physics A: Mathematical and Theoretical, 2021, 54, (22)
dc.identifier.issn	1751-8113
dc.identifier.issn	1751-8121
dc.identifier.uri	http://hdl.handle.net/10453/154918
dc.description.abstract	Resource theories are broad frameworks that capture how useful objects are in performing specific tasks. In this paperwe devise a formal resource theory quantum measurements, focusing on the ability of a measurement to acquire information. The objects of the theory are equivalence classes of positive operatorvalued measures, and the free transformations are changes to a measurement device that can only deteriorate its ability to report information about a physical system. We show that catalysis and purification, protocols that are possible in other resource theories, are impossible in our resource theory for quantum measurements. Standard measures of information gain are shown to be resource monotones, and the resource theory is applied to the task of quantum state discrimination.
dc.language	English
dc.publisher	IOP Publishing Ltd
dc.relation.ispartof	Journal of Physics A: Mathematical and Theoretical
dc.relation.isbasedon	10.1088/1751-8121/abed67
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	01 Mathematical Sciences, 02 Physical Sciences
dc.subject.classification	Mathematical Physics
dc.title	A resource theory of quantum measurements
dc.type	Journal Article
utslib.citation.volume	54
utslib.for	01 Mathematical Sciences
utslib.for	02 Physical Sciences
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
utslib.copyright.status	closed_access	*
dc.date.updated	2022-02-28T03:54:35Z
pubs.issue	22
pubs.publication-status	Published
pubs.volume	54
utslib.citation.issue	22

Abstract:

Resource theories are broad frameworks that capture how useful objects are in performing specific tasks. In this paperwe devise a formal resource theory quantum measurements, focusing on the ability of a measurement to acquire information. The objects of the theory are equivalence classes of positive operatorvalued measures, and the free transformations are changes to a measurement device that can only deteriorate its ability to report information about a physical system. We show that catalysis and purification, protocols that are possible in other resource theories, are impossible in our resource theory for quantum measurements. Standard measures of information gain are shown to be resource monotones, and the resource theory is applied to the task of quantum state discrimination.

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http://hdl.handle.net/10453/154918