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Uniform Additivity in Classical and Quantum Information

Cross, Andrew and Li, Ke and Smith, Graeme (2017) Uniform Additivity in Classical and Quantum Information. Physical Review Letters, 118 (4). Art. No. 040501. ISSN 0031-9007. http://resolver.caltech.edu/CaltechAUTHORS:20170127-122253747

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Abstract

Information theory quantifies the optimal rates of resource interconversions, usually in terms of entropies. However, nonadditivity often makes evaluating entropic formulas intractable. In a few auspicious cases, additivity allows a full characterization of optimal rates. We study uniform additivity of formulas, which is easily evaluated and captures all known additive quantum formulas. Our complete characterization of uniform additivity exposes an intriguing new additive quantity and identifies a remarkable coincidence—the classical and quantum uniformly additive functions with one auxiliary variable are identical.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevLett.118.040501DOIArticle
http://journals.aps.org/prl/abstract/10.1103/PhysRevLett.118.040501PublisherArticle
https://arxiv.org/abs/1601.05434arXivDiscussion Paper
http://journals.aps.org/prl/supplemental/10.1103/PhysRevLett.118.040501/AIQI-Short-Supp.pdfPublisherSupplemental Material
Additional Information:© 2017 American Physical Society. (Received 15 April 2016; published 27 January 2017) K. L. acknowledges NSF Grants No. CCF-1110941 and No. CCF-1111382 and G. S. acknowledges NSF Grant No. CCF-1110941.
Group:Institute for Quantum Information and Matter, IQIM
Funders:
Funding AgencyGrant Number
NSFCCF-1110941
NSFCCF-1111382
Record Number:CaltechAUTHORS:20170127-122253747
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170127-122253747
Official Citation:Uniform Additivity in Classical and Quantum Information Andrew Cross, Ke Li, and Graeme Smith Phys. Rev. Lett. 118, 040501
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:73778
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:27 Jan 2017 21:06
Last Modified:27 Mar 2019 22:20

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