The apex of the family tree of protocols: Optimal rates and resource inequalities

Datta, N; Hsieh, MH

The apex of the family tree of protocols: Optimal rates and resource inequalities

Datta, N Hsieh, MH

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Publication Type:: Journal Article
Citation:: New Journal of Physics, 2011, 13
Issue Date:: 2011-09-01

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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.date.issued	2011-09-01	en_US
dc.identifier.citation	New Journal of Physics, 2011, 13	en_US
dc.identifier.issn	1367-2630	en_US
dc.identifier.uri	http://hdl.handle.net/10453/115449
dc.description.abstract	We establish bounds on the maximum entanglement gain and minimum quantum communication cost of the fully quantum Slepian-Wolf (FQSW) protocol in the one-shot regime, which is considered to be at the apex of the existing family tree in quantum information theory. These quantities, which are expressed in terms of smooth min- and max-entropies, reduce to the known rates of quantum communication cost and entanglement gain in the asymptotic independent and identically distributed scenario. We also provide an explicit proof of the optimality of these asymptotic rates.We introduce a resource inequality for the one-shot FQSW protocol, which in conjunction with our results yields achievable one-shot rates of its children protocols. In particular, it yields bounds on the one-shot quantum capacity of a noisy channel in terms of a single entropic quantity, unlike previous bounds. We also obtain an explicit expression for the achievable rate for one-shot state redistribution.© IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.	en_US
dc.relation.ispartof	New Journal of Physics	en_US
dc.relation.isbasedon	10.1088/1367-2630/13/9/093042	en_US
dc.subject.classification	Fluids & Plasmas	en_US
dc.title	The apex of the family tree of protocols: Optimal rates and resource inequalities	en_US
dc.type	Journal Article
utslib.citation.volume	13	en_US
utslib.for	080203 Computational Logic and Formal Languages	en_US
utslib.for	0206 Quantum Physics	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.publication-status	Published	en_US
pubs.volume	13	en_US

Abstract:

We establish bounds on the maximum entanglement gain and minimum quantum communication cost of the fully quantum Slepian-Wolf (FQSW) protocol in the one-shot regime, which is considered to be at the apex of the existing family tree in quantum information theory. These quantities, which are expressed in terms of smooth min- and max-entropies, reduce to the known rates of quantum communication cost and entanglement gain in the asymptotic independent and identically distributed scenario. We also provide an explicit proof of the optimality of these asymptotic rates.We introduce a resource inequality for the one-shot FQSW protocol, which in conjunction with our results yields achievable one-shot rates of its children protocols. In particular, it yields bounds on the one-shot quantum capacity of a noisy channel in terms of a single entropic quantity, unlike previous bounds. We also obtain an explicit expression for the achievable rate for one-shot state redistribution.© IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.

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http://hdl.handle.net/10453/115449