Uniform Additivity in Classical and Quantum Information
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...
| Main Authors: | , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2017
|
| Online Access: | http://hdl.handle.net/1721.1/106946 |
| _version_ | 1811096105092382720 |
|---|---|
| author | Cross, Andrew Li, Ke Smith, Graeme |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Cross, Andrew Li, Ke Smith, Graeme |
| author_sort | Cross, Andrew |
| collection | MIT |
| description | 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. |
| first_indexed | 2024-09-23T16:38:19Z |
| format | Article |
| id | mit-1721.1/106946 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T16:38:19Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1069462022-09-29T20:30:06Z Uniform Additivity in Classical and Quantum Information Cross, Andrew Li, Ke Smith, Graeme Massachusetts Institute of Technology. Center for Theoretical Physics Li, Ke 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. National Science Foundation (U.S.) (Grants CCF-1110941 and CCF-1111382) 2017-02-15T20:39:55Z 2017-02-15T20:39:55Z 2017-01 2016-04 2017-01-27T23:00:02Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 http://hdl.handle.net/1721.1/106946 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 en http://dx.doi.org/10.1103/PhysRevLett.118.040501 Physical Review Letters 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. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Cross, Andrew Li, Ke Smith, Graeme Uniform Additivity in Classical and Quantum Information |
| title | Uniform Additivity in Classical and Quantum Information |
| title_full | Uniform Additivity in Classical and Quantum Information |
| title_fullStr | Uniform Additivity in Classical and Quantum Information |
| title_full_unstemmed | Uniform Additivity in Classical and Quantum Information |
| title_short | Uniform Additivity in Classical and Quantum Information |
| title_sort | uniform additivity in classical and quantum information |
| url | http://hdl.handle.net/1721.1/106946 |
| work_keys_str_mv | AT crossandrew uniformadditivityinclassicalandquantuminformation AT like uniformadditivityinclassicalandquantuminformation AT smithgraeme uniformadditivityinclassicalandquantuminformation |