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. doi:10.1103/PhysRevLett.118.040501. https://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.
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| 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 | |||||||||||||||
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| Issue or Number: | 4 | |||||||||||||||
| DOI: | 10.1103/PhysRevLett.118.040501 | |||||||||||||||
| Record Number: | CaltechAUTHORS:20170127-122253747 | |||||||||||||||
| Persistent URL: | https://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: | 11 Nov 2021 05:22 |
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