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

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 hug...

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Autores principales: Holik, Federico Hernán, Bosyk, Gustavo Martín, Bellomo, Guido
Formato: Articulo
Lenguaje:Inglés
Publicado: 2015
Materias:
Ciencias Exactas
Física
Generalized majorization
Information theory
Quantum information
Quantum probability
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/86139
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-86139
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Generalized majorization
Information theory
Quantum information
Quantum probability
spellingShingle Ciencias Exactas
Física
Generalized majorization
Information theory
Quantum information
Quantum probability
Holik, Federico Hernán
Bosyk, Gustavo Martín
Bellomo, Guido
Quantum information as a non-kolmogorovian generalization of Shannon's theory
topic_facet Ciencias Exactas
Física
Generalized majorization
Information theory
Quantum information
Quantum probability
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.
format Articulo
Articulo
author Holik, Federico Hernán
Bosyk, Gustavo Martín
Bellomo, Guido
author_facet Holik, Federico Hernán
Bosyk, Gustavo Martín
Bellomo, Guido
author_sort Holik, Federico Hernán
title Quantum information as a non-kolmogorovian generalization of Shannon's theory
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
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/86139
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AT bosykgustavomartin quantuminformationasanonkolmogoroviangeneralizationofshannonstheory
AT bellomoguido quantuminformationasanonkolmogoroviangeneralizationofshannonstheory
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