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Published January 27, 2017 | Supplemental Material + Published
Journal Article Open

Uniform Additivity in Classical and Quantum Information

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.

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.

Attached Files

Published - PhysRevLett.118.040501.pdf

Supplemental Material - AIQI-Short-Supp.pdf

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August 19, 2023
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