Moderate deviations for quantum hypothesis testing and a martingale inequality

Cheng, HC; Hsieh, MH

Moderate deviations for quantum hypothesis testing and a martingale inequality

Cheng, HC

Hsieh, MH

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Publication Type:: Conference Proceeding
Citation:: IEEE International Symposium on Information Theory - Proceedings, 2017, pp. 1978 - 1982
Issue Date:: 2017-08-09

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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.issued	2017-08-09	en_US
dc.identifier.citation	IEEE International Symposium on Information Theory - Proceedings, 2017, pp. 1978 - 1982	en_US
dc.identifier.isbn	9781509040964	en_US
dc.identifier.issn	2157-8095	en_US
dc.identifier.uri	http://hdl.handle.net/10453/127398
dc.description.abstract	© 2017 IEEE. 'To be considered for the 2017 IEEE Jack Keil Wolf ISIT Student Paper Award.' We study the asymptotic behavior of the type-I error in quantum hypothesis testing when the exponent of the type-II error approaches the quantum relative entropy sufficiently slowly. Our result shows that the moderate deviation principle holds for the testing problem if the quantum relative variance is positive. Our proof strategy employs strong large deviation theory and a martingale inequality.	en_US
dc.relation	http://purl.org/au-research/grants/arc/FT140100574
dc.relation.ispartof	IEEE International Symposium on Information Theory - Proceedings	en_US
dc.relation.isbasedon	10.1109/ISIT.2017.8006875	en_US
dc.title	Moderate deviations for quantum hypothesis testing and a martingale inequality	en_US
dc.type	Conference Proceeding
utslib.for	0805 Distributed Computing	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	closed_access
pubs.publication-status	Published	en_US

Abstract:

© 2017 IEEE. 'To be considered for the 2017 IEEE Jack Keil Wolf ISIT Student Paper Award.' We study the asymptotic behavior of the type-I error in quantum hypothesis testing when the exponent of the type-II error approaches the quantum relative entropy sufficiently slowly. Our result shows that the moderate deviation principle holds for the testing problem if the quantum relative variance is positive. Our proof strategy employs strong large deviation theory and a martingale inequality.

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http://hdl.handle.net/10453/127398