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
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/86139
Ver los metadatos del registro completo
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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:UNLP2025-10-22T16:57:47Zoai: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:13292025-10-22 16:57:47.327SEDICI (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 |
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2015 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
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http://sedici.unlp.edu.ar/handle/10915/86139 |
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eng |
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eng |
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info:eu-repo/semantics/altIdentifier/issn/1099-4300 info:eu-repo/semantics/altIdentifier/doi/10.3390/e17117349 |
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openAccess |
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