Quantum-to-classical rate distortion coding

Datta, N; Hsieh, MH; Wilde, MM; Winter, A

Quantum-to-classical rate distortion coding

Datta, N Hsieh, MH

Wilde, MM Winter, A

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Publication Type:: Journal Article
Citation:: Journal of Mathematical Physics, 2013, 54 (4)
Issue Date:: 2013-04-02

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Field	Value	Language
dc.contributor.author	Datta, N	en_US
dc.contributor.author	Hsieh, MH https://orcid.org/0000-0002-3396-8427	en_US
dc.contributor.author	Wilde, MM	en_US
dc.contributor.author	Winter, A https://orcid.org/0000-0001-6344-4870	en_US
dc.date.issued	2013-04-02	en_US
dc.identifier.citation	Journal of Mathematical Physics, 2013, 54 (4)	en_US
dc.identifier.issn	0022-2488	en_US
dc.identifier.uri	http://hdl.handle.net/10453/22774
dc.description.abstract	We establish a theory of quantum-to-classical rate distortion coding. In this setting, a sender Alice has many copies of a quantum information source. Her goal is to transmit a classical description of the source, obtained by performing a measurement on it, to a receiver Bob, up to some specified level of distortion. We derive a single-letter formula for the minimum rate of classical communication needed for this task. We also evaluate this rate in the case in which Bob has some quantum side information about the source. Our results imply that, in general, Alice's best strategy is a non-classical one, in which she performs a collective measurement on successive outputs of the source. © 2013 American Institute of Physics.	en_US
dc.relation.ispartof	Journal of Mathematical Physics	en_US
dc.relation.isbasedon	10.1063/1.4798396	en_US
dc.subject.classification	Mathematical Physics	en_US
dc.title	Quantum-to-classical rate distortion coding	en_US
dc.type	Journal Article
utslib.citation.volume	4	en_US
utslib.citation.volume	54	en_US
utslib.for	0102 Applied Mathematics	en_US
utslib.for	01 Mathematical Sciences	en_US
utslib.for	02 Physical 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
utslib.copyright.status	open_access
pubs.issue	4	en_US
pubs.publication-status	Published	en_US
pubs.volume	54	en_US

Abstract:

We establish a theory of quantum-to-classical rate distortion coding. In this setting, a sender Alice has many copies of a quantum information source. Her goal is to transmit a classical description of the source, obtained by performing a measurement on it, to a receiver Bob, up to some specified level of distortion. We derive a single-letter formula for the minimum rate of classical communication needed for this task. We also evaluate this rate in the case in which Bob has some quantum side information about the source. Our results imply that, in general, Alice's best strategy is a non-classical one, in which she performs a collective measurement on successive outputs of the source. © 2013 American Institute of Physics.

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http://hdl.handle.net/10453/22774