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Chain rules for quantum channels

Berta, Mario and Tomamichel, Marco (2022) Chain rules for quantum channels. In: 2022 IEEE International Symposium on Information Theory (ISIT). IEEE , Piscataway, NJ, pp. 2427-2432. ISBN 978-1-6654-2159-1. https://resolver.caltech.edu/CaltechAUTHORS:20220804-765729000

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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.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/ISIT50566.2022.9834391DOIArticle
https://arxiv.org/abs/2204.11153arXivDiscussion Paper
ORCID:
AuthorORCID
Berta, Mario0000-0002-0428-3429
Tomamichel, Marco0000-0001-5410-3329
Additional Information:© 2022 IEEE. This work was completed prior to MB joining the AWS Center for Quantum Computing. This research is supported by the National Research Foundation, Prime Minister’s Office, Singapore and the Ministry of Education, Singapore under the Research Centres of Excellence programme. MT is also supported in part by NUS startup grants (R-263-000-E32-133 and R-263-000-E32-731). We thank David Sutter for discussions.
Group:AWS Center for Quantum Computing
Funders:
Funding AgencyGrant Number
National Research Foundation (Singapore)UNSPECIFIED
Ministry of Education (Singapore)UNSPECIFIED
National University of SingaporeR-263-000-E32-133
National University of SingaporeR-263-000-E32-731
Subject Keywords:Quantum information measures, quantum Renyi divergences, quantum entropy inequalities, quantum statistics, quantum channel discrimination
DOI:10.1109/isit50566.2022.9834391
Record Number:CaltechAUTHORS:20220804-765729000
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20220804-765729000
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:116092
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:04 Aug 2022 22:59
Last Modified:04 Aug 2022 23:00

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