Berta, Mario and Fawzi, Omar and Tomamichel, Marco (2016) Exploiting variational formulas for quantum relative entropy. In: 2016 IEEE International Symposium on Information Theory (ISIT). IEEE , Piscataway, NJ, pp. 2844-2848. ISBN 978-1-5090-1807-9. https://resolver.caltech.edu/CaltechAUTHORS:20160824-093212627
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Abstract
The relative entropy is the basic concept underlying various information measures like entropy, conditional entropy and mutual information. Here, we discuss how to make use of variational formulas for measured relative entropy and quantum relative entropy for understanding the additivity properties of various entropic quantities that appear in quantum information theory. In particular, we show that certain lower bounds on quantum conditional mutual information are superadditive.
| Item Type: | Book Section | |||||||||
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| Additional Information: | © 2016 IEEE. We acknowledge discussions with Fernando Brandão, Douglas Farenick and Hamza Fawzi. Most of this work was done while OF was also with the Department of Computing and Mathematical Sciences at CalTech. MT would like to thank the IQIM at CalTech and John Preskill for his hospitality during the time this project was conceived. | |||||||||
| Group: | Institute for Quantum Information and Matter | |||||||||
| DOI: | 10.1109/ISIT.2016.7541818 | |||||||||
| Record Number: | CaltechAUTHORS:20160824-093212627 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20160824-093212627 | |||||||||
| Official Citation: | M. Berta, O. Fawzi and M. Tomamichel, "Exploiting variational formulas for quantum relative entropy," 2016 IEEE International Symposium on Information Theory (ISIT), Barcelona, Spain, 2016, pp. 2844-2848. doi: 10.1109/ISIT.2016.7541818 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=7541818&isnumber=7541040 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 69890 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 24 Aug 2016 22:16 | |||||||||
| Last Modified: | 11 Nov 2021 04:21 |
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