Moderate deviation analysis for classical-quantum channels and quantum hypothesis testing

Cheng, HC; Hsieh, MH

Moderate deviation analysis for classical-quantum channels and quantum hypothesis testing

Cheng, HC

Hsieh, MH

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Publication Type:: Journal Article
Citation:: IEEE Transactions on Information Theory, 2018, 64 (2), pp. 1385 - 1403
Issue Date:: 2018-02-01

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Field	Value	Language
dc.contributor.author	Cheng, HC https://orcid.org/0000-0003-4499-4679	en_US
dc.contributor.author	Hsieh, MH https://orcid.org/0000-0002-3396-8427	en_US
dc.date.available	2020-05-25T19:04:44Z
dc.date.issued	2018-02-01	en_US
dc.identifier.citation	IEEE Transactions on Information Theory, 2018, 64 (2), pp. 1385 - 1403	en_US
dc.identifier.issn	0018-9448	en_US
dc.identifier.uri	http://hdl.handle.net/10453/131792
dc.description.abstract	© 1963-2012 IEEE. In this paper, we study the tradeoffs between the error probabilities of classical-quantum channels and the blocklength n when the transmission rates approach the channel capacity at a rate lower than 1 {n} , a research topic known as moderate deviation analysis. We show that the optimal error probability vanishes under this rate convergence. Our main technical contributions are a tight quantum sphere-packing bound, obtained via Chaganty and Sethuraman's concentration inequality in strong large deviation theory, and asymptotic expansions of error-exponent functions. Moderate deviation analysis for quantum hypothesis testing is also established. The converse directly follows from our channel coding result, while the achievability relies on a martingale inequality.	en_US
dc.relation	http://purl.org/au-research/grants/arc/FT140100574
dc.relation.ispartof	IEEE Transactions on Information Theory	en_US
dc.relation.isbasedon	10.1109/TIT.2017.2781254	en_US
dc.subject.classification	Networking & Telecommunications	en_US
dc.title	Moderate deviation analysis for classical-quantum channels and quantum hypothesis testing	en_US
dc.type	Journal Article
utslib.citation.volume	2	en_US
utslib.citation.volume	64	en_US
utslib.for	0801 Artificial Intelligence and Image Processing	en_US
utslib.for	0802 Computation Theory and Mathematics	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
utslib.for	1005 Communications Technologies	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
pubs.organisational-group	/University of Technology Sydney/Students
utslib.copyright.status	open_access
pubs.issue	2	en_US
pubs.publication-status	Published	en_US
pubs.volume	64	en_US

Abstract:

© 1963-2012 IEEE. In this paper, we study the tradeoffs between the error probabilities of classical-quantum channels and the blocklength n when the transmission rates approach the channel capacity at a rate lower than 1 {n} , a research topic known as moderate deviation analysis. We show that the optimal error probability vanishes under this rate convergence. Our main technical contributions are a tight quantum sphere-packing bound, obtained via Chaganty and Sethuraman's concentration inequality in strong large deviation theory, and asymptotic expansions of error-exponent functions. Moderate deviation analysis for quantum hypothesis testing is also established. The converse directly follows from our channel coding result, while the achievability relies on a martingale inequality.

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http://hdl.handle.net/10453/131792