Quantum information as a non-kolmogorovian generalization of Shannon's theory

Autores
Holik, Federico Hernán; Bosyk, Gustavo Martín; Bellomo, Guido
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this article, we discuss the formal structure of a generalized information theory based on the extension of the probability calculus of Kolmogorov to a (possibly) non-commutative setting. By studying this framework, we argue that quantum information can be considered as a particular case of a huge family of non-commutative extensions of its classical counterpart. In any conceivable information theory, the possibility of dealing with different kinds of information measures plays a key role. Here, we generalize a notion of state spectrum, allowing us to introduce a majorization relation and a new family of generalized entropic measures.
Facultad de Ciencias Exactas
Instituto de Física La Plata
Materia
Ciencias Exactas
Física
Generalized majorization
Information theory
Quantum information
Quantum probability
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/86139

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network_name_str SEDICI (UNLP)
spelling Quantum information as a non-kolmogorovian generalization of Shannon's theoryHolik, Federico HernánBosyk, Gustavo MartínBellomo, GuidoCiencias ExactasFísicaGeneralized majorizationInformation theoryQuantum informationQuantum probabilityIn this article, we discuss the formal structure of a generalized information theory based on the extension of the probability calculus of Kolmogorov to a (possibly) non-commutative setting. By studying this framework, we argue that quantum information can be considered as a particular case of a huge family of non-commutative extensions of its classical counterpart. In any conceivable information theory, the possibility of dealing with different kinds of information measures plays a key role. Here, we generalize a notion of state spectrum, allowing us to introduce a majorization relation and a new family of generalized entropic measures.Facultad de Ciencias ExactasInstituto de Física La Plata2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf7349-7373http://sedici.unlp.edu.ar/handle/10915/86139enginfo:eu-repo/semantics/altIdentifier/issn/1099-4300info:eu-repo/semantics/altIdentifier/doi/10.3390/e17117349info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:16:59Zoai:sedici.unlp.edu.ar:10915/86139Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:16:59.403SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Quantum information as a non-kolmogorovian generalization of Shannon's theory
title Quantum information as a non-kolmogorovian generalization of Shannon's theory
spellingShingle Quantum information as a non-kolmogorovian generalization of Shannon's theory
Holik, Federico Hernán
Ciencias Exactas
Física
Generalized majorization
Information theory
Quantum information
Quantum probability
title_short Quantum information as a non-kolmogorovian generalization of Shannon's theory
title_full Quantum information as a non-kolmogorovian generalization of Shannon's theory
title_fullStr Quantum information as a non-kolmogorovian generalization of Shannon's theory
title_full_unstemmed Quantum information as a non-kolmogorovian generalization of Shannon's theory
title_sort Quantum information as a non-kolmogorovian generalization of Shannon's theory
dc.creator.none.fl_str_mv Holik, Federico Hernán
Bosyk, Gustavo Martín
Bellomo, Guido
author Holik, Federico Hernán
author_facet Holik, Federico Hernán
Bosyk, Gustavo Martín
Bellomo, Guido
author_role author
author2 Bosyk, Gustavo Martín
Bellomo, Guido
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
Generalized majorization
Information theory
Quantum information
Quantum probability
topic Ciencias Exactas
Física
Generalized majorization
Information theory
Quantum information
Quantum probability
dc.description.none.fl_txt_mv In this article, we discuss the formal structure of a generalized information theory based on the extension of the probability calculus of Kolmogorov to a (possibly) non-commutative setting. By studying this framework, we argue that quantum information can be considered as a particular case of a huge family of non-commutative extensions of its classical counterpart. In any conceivable information theory, the possibility of dealing with different kinds of information measures plays a key role. Here, we generalize a notion of state spectrum, allowing us to introduce a majorization relation and a new family of generalized entropic measures.
Facultad de Ciencias Exactas
Instituto de Física La Plata
description In this article, we discuss the formal structure of a generalized information theory based on the extension of the probability calculus of Kolmogorov to a (possibly) non-commutative setting. By studying this framework, we argue that quantum information can be considered as a particular case of a huge family of non-commutative extensions of its classical counterpart. In any conceivable information theory, the possibility of dealing with different kinds of information measures plays a key role. Here, we generalize a notion of state spectrum, allowing us to introduce a majorization relation and a new family of generalized entropic measures.
publishDate 2015
dc.date.none.fl_str_mv 2015
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/86139
url http://sedici.unlp.edu.ar/handle/10915/86139
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1099-4300
info:eu-repo/semantics/altIdentifier/doi/10.3390/e17117349
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
Creative Commons Attribution 4.0 International (CC BY 4.0)
dc.format.none.fl_str_mv application/pdf
7349-7373
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
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reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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