Shannon's information is not entropy

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dc.contributor.authorSchiffer, Marcelo
dc.contributor.institutionInstituto de Física Teórica
dc.date.accessioned2022-04-29T08:43:40Z
dc.date.available2022-04-29T08:43:40Z
dc.date.issued1991-04-15
dc.description.abstractContrary 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.en
dc.description.affiliationInstituto de Física Teórica, R. Pamplona 145, São Paulo, SP 01405
dc.format.extent361-365
dc.identifierhttp://dx.doi.org/10.1016/0375-9601(91)90033-5
dc.identifier.citationPhysics Letters A, v. 154, n. 7-8, p. 361-365, 1991.
dc.identifier.doi10.1016/0375-9601(91)90033-5
dc.identifier.issn0375-9601
dc.identifier.scopus2-s2.0-44949279211
dc.identifier.urihttp://hdl.handle.net/11449/231101
dc.language.isoeng
dc.relation.ispartofPhysics Letters A
dc.sourceScopus
dc.titleShannon's information is not entropyen
dc.typeArtigo

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