On Graph Approaches to Contextuality and their Role in Quantum Theory (Paperback, 1st ed. 2018)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	SpringerBriefs in Mathematics
Release date:	August 2018
First published:	2018
Authors:	Barbara Amaral • Marcelo Terra Cunha
Dimensions:	235 x 155mm (L x W)
Format:	Paperback
Pages:	135
Edition:	1st ed. 2018
ISBN-13:	978-3-319-93826-4
Categories:	Books > Science & Mathematics > Mathematics > Combinatorics & graph theory Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
LSN:	3-319-93826-6
Barcode:	9783319938264

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