Chain rules for quantum channels

Berta, M; Tomamichel, M

Chain rules for quantum channels

Berta, M Tomamichel, M

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Publisher:: Institute of Electrical and Electronics Engineers (IEEE)
Publication Type:: Conference Proceeding
Citation:: IEEE International Symposium on Information Theory - Proceedings, 2022, 2022-June, pp. 2427-2432
Issue Date:: 2022-01-01

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Field	Value	Language
dc.contributor.author	Berta, M
dc.contributor.author	Tomamichel, M https://orcid.org/0000-0001-5410-3329
dc.date	2022-06-26
dc.date.accessioned	2023-04-13T01:36:15Z
dc.date.available	2023-04-13T01:36:15Z
dc.date.issued	2022-01-01
dc.identifier.citation	IEEE International Symposium on Information Theory - Proceedings, 2022, 2022-June, pp. 2427-2432
dc.identifier.isbn	9781665421591
dc.identifier.issn	2157-8095
dc.identifier.uri	http://hdl.handle.net/10453/169719
dc.description.abstract	Divergence chain rules for channels relate the divergence of a pair of channel inputs to the divergence of the corresponding channel outputs. An important special case of such a rule is the data-processing inequality, which tells us that if the same channel is applied to both inputs then the divergence cannot increase. Based on direct matrix analysis methods, we derive several Rényi divergence chain rules for channels in the quantum setting. Our results simplify and in some cases generalise previous derivations in the literature.
dc.language	en
dc.publisher	Institute of Electrical and Electronics Engineers (IEEE)
dc.relation.ispartof	IEEE International Symposium on Information Theory - Proceedings
dc.relation.ispartof	2022 IEEE International Symposium on Information Theory (ISIT)
dc.relation.isbasedon	10.1109/ISIT50566.2022.9834391
dc.rights	info:eu-repo/semantics/closedAccess
dc.title	Chain rules for quantum channels
dc.type	Conference Proceeding
utslib.citation.volume	2022-June
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
utslib.copyright.status	closed_access	*
dc.date.updated	2023-04-13T01:36:14Z
pubs.finish-date	2022-07-01
pubs.publication-status	Published
pubs.start-date	2022-06-26
pubs.volume	2022-June

Abstract:

Divergence chain rules for channels relate the divergence of a pair of channel inputs to the divergence of the corresponding channel outputs. An important special case of such a rule is the data-processing inequality, which tells us that if the same channel is applied to both inputs then the divergence cannot increase. Based on direct matrix analysis methods, we derive several Rényi divergence chain rules for channels in the quantum setting. Our results simplify and in some cases generalise previous derivations in the literature.

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http://hdl.handle.net/10453/169719