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＜E-Book＞
On Graph Approaches to Contextuality and their Role in Quantum Theory / by Barbara Amaral, Marcelo Terra Cunha
(SpringerBriefs in Mathematics. ISSN:21918201)

Edition	1st ed. 2018.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2018
Language	English
Size	IX, 135 p. 42 illus., 25 illus. in color : online resource
Authors	*Amaral, Barbara author Terra Cunha, Marcelo author SpringerLink (Online service)
Subjects	LCSH:Quantum computers LCSH:Graph theory LCSH:Quantum physics FREE:Quantum Computing FREE:Graph Theory FREE:Quantum Physics
Notes	Chapter 01- Introduction -- Chapter 02- Contextuality: the Compatibility-Hypergraph Approach -- Chapter 03- Contextuality: the Exclusivity-Graph Approach -- Chapter 04- The Exclusivity Principle and Its Consequences -- Appendix A- State-independent proofs of the Bell-Kochen-Specker Theorem 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 HTTP:URL=https://doi.org/10.1007/978-3-319-93827-1

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