Shannon's information is not entropy
Autor(a) principal: | |
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Data de Publicação: | 1991 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/0375-9601(91)90033-5 http://hdl.handle.net/11449/231101 |
Resumo: | Contrary to the widespread belief, Shannon's information and entropy are not in general equivalent. The purpose of this Letter is to discuss their conceptual difference and to pinpoint to mathematical reason for this. This fact is further illustrated through a toy model consisting of a harmonic oscillator in a coherent state, showing explicitly the dependence of Shannon's information on the class of quantum states the system is in. The interrelation between Shannon's information and entropy is reestablished after a theorem telling which class of states maximizes the (missing) information is proved. We shall conclude that entropy is the maximum amount of missing information. © 1991. |
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Shannon's information is not entropyContrary to the widespread belief, Shannon's information and entropy are not in general equivalent. The purpose of this Letter is to discuss their conceptual difference and to pinpoint to mathematical reason for this. This fact is further illustrated through a toy model consisting of a harmonic oscillator in a coherent state, showing explicitly the dependence of Shannon's information on the class of quantum states the system is in. The interrelation between Shannon's information and entropy is reestablished after a theorem telling which class of states maximizes the (missing) information is proved. We shall conclude that entropy is the maximum amount of missing information. © 1991.Instituto de Física Teórica, R. Pamplona 145, São Paulo, SP 01405Instituto de Física TeóricaSchiffer, Marcelo2022-04-29T08:43:40Z2022-04-29T08:43:40Z1991-04-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article361-365http://dx.doi.org/10.1016/0375-9601(91)90033-5Physics Letters A, v. 154, n. 7-8, p. 361-365, 1991.0375-9601http://hdl.handle.net/11449/23110110.1016/0375-9601(91)90033-52-s2.0-44949279211Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysics Letters Ainfo:eu-repo/semantics/openAccess2022-04-29T08:43:41Zoai:repositorio.unesp.br:11449/231101Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:56:00.730195Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Shannon's information is not entropy |
title |
Shannon's information is not entropy |
spellingShingle |
Shannon's information is not entropy Schiffer, Marcelo |
title_short |
Shannon's information is not entropy |
title_full |
Shannon's information is not entropy |
title_fullStr |
Shannon's information is not entropy |
title_full_unstemmed |
Shannon's information is not entropy |
title_sort |
Shannon's information is not entropy |
author |
Schiffer, Marcelo |
author_facet |
Schiffer, Marcelo |
author_role |
author |
dc.contributor.none.fl_str_mv |
Instituto de Física Teórica |
dc.contributor.author.fl_str_mv |
Schiffer, Marcelo |
description |
Contrary to the widespread belief, Shannon's information and entropy are not in general equivalent. The purpose of this Letter is to discuss their conceptual difference and to pinpoint to mathematical reason for this. This fact is further illustrated through a toy model consisting of a harmonic oscillator in a coherent state, showing explicitly the dependence of Shannon's information on the class of quantum states the system is in. The interrelation between Shannon's information and entropy is reestablished after a theorem telling which class of states maximizes the (missing) information is proved. We shall conclude that entropy is the maximum amount of missing information. © 1991. |
publishDate |
1991 |
dc.date.none.fl_str_mv |
1991-04-15 2022-04-29T08:43:40Z 2022-04-29T08:43:40Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1016/0375-9601(91)90033-5 Physics Letters A, v. 154, n. 7-8, p. 361-365, 1991. 0375-9601 http://hdl.handle.net/11449/231101 10.1016/0375-9601(91)90033-5 2-s2.0-44949279211 |
url |
http://dx.doi.org/10.1016/0375-9601(91)90033-5 http://hdl.handle.net/11449/231101 |
identifier_str_mv |
Physics Letters A, v. 154, n. 7-8, p. 361-365, 1991. 0375-9601 10.1016/0375-9601(91)90033-5 2-s2.0-44949279211 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physics Letters A |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
361-365 |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
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1808128438082469888 |