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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/86139
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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 |
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reponame:SEDICI (UNLP) instname:Universidad Nacional de La Plata instacron:UNLP |
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SEDICI (UNLP) |
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Universidad Nacional de La Plata |
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SEDICI (UNLP) - Universidad Nacional de La Plata |
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