Articles liés à Extensions and Restrictions of Generalized Probabilistic...

Extensions and Restrictions of Generalized Probabilistic Theories - Couverture souple

Steinberg, Jonathan

 
9783658375805: Extensions and Restrictions of Generalized Probabilistic Theories
Couverture souple
ISBN 10 : 3658375809 ISBN 13 : 9783658375805
Editeur : Springer Spektrum, 2022

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

Jonathan Steinberg studied physics and mathematics at the university of Siegen and obtained his M. Sc. in the field of quantum foundations. Currently he investigates the relation between tensor eigenvalues and the quantification of multipartite entanglement under the tutelage of Prof. Otfried Gühne.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer Spektrum
Date d'édition
2022
Langue
anglais
ISBN 10 
3658375809
ISBN 13 
9783658375805
Reliure
Broché
Numéro d'édition
1
Nombre de pages
88
Coordonnées du fabricant
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com

Europaplatz 3
Heidelberg
69115
Allemagne