On Graph Approaches to Contextuality and their Role in Quantum Theory

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Éditeur :

Springer


Paru le : 2018-07-28

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Description
This book explores two of the most striking features of quantum theory – contextuality and nonlocality – using a formulation based on graph theory. Quantum theory provides a set of rules to predict probabilities of different outcomes in different experimental settings, and both contextuality and nonlocality play a fundamental role in interpreting the outcomes. In this work, the authors highlight how the graph approach can lead to a better understanding of this theory and its applications. After presenting basic definitions and explaining the non-contextuality hypothesis, the book describes contextuality scenarios using compatibility hypergraphs. It then introduces the exclusivity graph approach, which relates a number of important graph-theoretical concepts to contextuality. It also presents open problems such as the so-called Exclusivity Principle, as well as a selection of important topics, like sheaf-theoretical approach, hypergraph approach, and alternative proofs of contextuality.





Pages
135 pages
Collection
n.c
Parution
2018-07-28
Marque
Springer
EAN papier
9783319938264
EAN PDF
9783319938271

Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
13
Taille du fichier
2826 Ko
Prix
63,29 €
EAN EPUB
9783319938271

Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
13
Taille du fichier
9605 Ko
Prix
63,29 €

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