Asymptotic state discrimination and a strict hierarchy in distinguishability norms

Chitambar, E; Hsieh, MH

Asymptotic state discrimination and a strict hierarchy in distinguishability norms

Chitambar, E Hsieh, MH

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Publication Type:: Journal Article
Citation:: Journal of Mathematical Physics, 2014, 55 (11)
Issue Date:: 2014-11-24

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Field	Value	Language
dc.contributor.author	Chitambar, E	en_US
dc.contributor.author	Hsieh, MH https://orcid.org/0000-0002-3396-8427	en_US
dc.date.issued	2014-11-24	en_US
dc.identifier.citation	Journal of Mathematical Physics, 2014, 55 (11)	en_US
dc.identifier.issn	0022-2488	en_US
dc.identifier.uri	http://hdl.handle.net/10453/35370
dc.description.abstract	© 2014 AIP Publishing LLC. In this paper, we consider the problem of discriminating quantum states by local operations and classical communication (LOCC) when an arbitrarily small amount of error is permitted. This paradigm is known as asymptotic state discrimination, and we derive necessary conditions for when two multipartite states of any size can be discriminated perfectly by asymptotic LOCC. We use this new criterion to prove a gap in the LOCC and separable distinguishability norms. We then turn to the operational advantage of using two-way classical communication over one-way communication in LOCC processing. With a simple two-qubit product state ensemble, we demonstrate a strict majorization of the two-way LOCC norm over the one-way norm.	en_US
dc.relation.ispartof	Journal of Mathematical Physics	en_US
dc.relation.isbasedon	10.1063/1.4902027	en_US
dc.subject.classification	Mathematical Physics	en_US
dc.title	Asymptotic state discrimination and a strict hierarchy in distinguishability norms	en_US
dc.type	Journal Article
utslib.citation.volume	11	en_US
utslib.citation.volume	55	en_US
utslib.for	080203 Computational Logic and Formal Languages	en_US
utslib.for	0206 Quantum Physics	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	closed_access
pubs.issue	11	en_US
pubs.publication-status	Published	en_US
pubs.volume	55	en_US

Abstract:

© 2014 AIP Publishing LLC. In this paper, we consider the problem of discriminating quantum states by local operations and classical communication (LOCC) when an arbitrarily small amount of error is permitted. This paradigm is known as asymptotic state discrimination, and we derive necessary conditions for when two multipartite states of any size can be discriminated perfectly by asymptotic LOCC. We use this new criterion to prove a gap in the LOCC and separable distinguishability norms. We then turn to the operational advantage of using two-way classical communication over one-way communication in LOCC processing. With a simple two-qubit product state ensemble, we demonstrate a strict majorization of the two-way LOCC norm over the one-way norm.

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http://hdl.handle.net/10453/35370