Published June 26, 2022
| Accepted Version
Book Section - Chapter
Open
Chain rules for quantum channels
- Creators
-
Berta, Mario
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Tomamichel, Marco
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.
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.Attached Files
Accepted Version - 2204.11153.pdf
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Additional details
- Eprint ID
- 116092
- Resolver ID
- CaltechAUTHORS:20220804-765729000
- National Research Foundation (Singapore)
- Ministry of Education (Singapore)
- R-263-000-E32-133
- National University of Singapore
- R-263-000-E32-731
- National University of Singapore
- Created
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2022-08-04Created from EPrint's datestamp field
- Updated
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2022-08-04Created from EPrint's last_modified field
- Caltech groups
- AWS Center for Quantum Computing