Uniform Additivity in Classical and Quantum Information
Name
PhysRevLett.118.040501.pdf
Size
241.28 KB
Format
Adobe PDF
Checksum (MD5)
eb10d8a0c66ec2243be164745d5c4cd8
Author(s)
Cross, Andrew
Li, Ke
Smith, Graeme
Date Issued
January 2017
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Cross, Andrew, Ke Li, and Graeme Smith. “Uniform Additivity in Classical and Quantum Information.” Physical Review Letters 118.4 (2017): n. pag. © 2017 American Physical Society
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevLett.118.040501
