Téléchargez le livre : Extensions and Restrictions of Generalized Probabilistic Theories

Extensions and Restrictions of Generalized Probabilistic Theories

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Éditeur :

Springer Spektrum


Collection :

BestMasters

Paru le : 2022-05-16

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Description

Generalized probabilistic theories (GPTs) allow us to write quantum theory in a purely operational language and enable us to formulate other, vastly different theories. As it turns out, there is no canonical way to integrate the notion of subsystems within the framework of convex operational theories. Sections can be seen as generalization of subsystems and describe situations where not all possible observables can be implemented. Jonathan Steinberg discusses the mathematical foundations of GPTs using the language of Archimedean order unit spaces and investigates the algebraic nature of sections. This includes an analysis of the category theoretic structure and the transformation properties of the state space. Since the Hilbert space formulation of quantum mechanics uses tensor products to describe subsystems, he shows how one can interpret the tensor product as a special type of a section. In addition he applies this concept to quantum theory and compares it with the formulation inthe algebraic approach. Afterwards he gives a complete characterization of low dimensional sections of arbitrary quantum systems using the theory of matrix pencils.
Pages
79 pages
Collection
BestMasters
Parution
2022-05-16
Marque
Springer Spektrum
EAN papier
9783658375805
EAN PDF
9783658375812
Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
7
Taille du fichier
1772 Ko
Prix
63,29 €
EAN EPUB
9783658375812
Informations sur l'ebook
Nombre pages copiables
0
Nombre pages imprimables
7
Taille du fichier
6308 Ko
Prix
63,29 €

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