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Extensions and Restrictions of Generalized Probabilistic Theories
Engelsk
Bogcover for Extensions and Restrictions of Generalized Probabilistic Theories af Jonathan Steinberg, 9783658375805
Specifikationer
Sprog:
Engelsk
Sider:
79
ISBN-13:
9783658375805
Indbinding:
Paperback
ISBN-10:
3658375809
Udg. Dato:
17 maj 2022
Størrelse i cm:
21,0 x 14,8
Serie:
Oplagsdato:
17 maj 2022
Forfatter(e):

Extensions and Restrictions of Generalized Probabilistic Theories

Engelsk
Paperback 2022
Format:

Bog beskrivelse

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 in the algebraic approach. Afterwards he gives a complete characterization of low dimensional sections of arbitrary quantum systems using the theory of matrix pencils.

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Specifikationer
Sprog:
Engelsk
Sider:
79
ISBN-13:
9783658375805
Indbinding:
Paperback
ISBN-10:
3658375809
Udg. Dato:
17 maj 2022
Størrelse i cm:
21,0 x 14,8
Serie:
Oplagsdato:
17 maj 2022
Forfatter(e):
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