On graph approaches to contextuality and their role in quantum theory / Barbara Amaral, Marcelo Terra Cunha

Von:

Amaral, Barbara [VerfasserIn]

Mitwirkende(r):

Terra Cunha, Marcelo, 1973- [VerfasserIn]

Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Reihen: SpringerBriefs in Mathematics | SpringerLink BücherVerlag: Cham : Springer Nature, [2018]Copyright-Datum: © 2018Beschreibung: Online-RessourceISBN:

9783319938271

Schlagwörter:

Andere physische Formen: 9783319938264 | Erscheint auch als: 978-3-319-93826-4 Druck-Ausgabe | Printed edition: 9783319938264 | Erscheint auch als: On graph approaches to contextuality and their role in quantum theory. Druck-Ausgabe Cham : Springer Nature, 2018. ix, 135 SeitenDDC-Klassifikation:

004.1

MSC: MSC: *81-02 | 81P13 | 81P15 | 81P40 | 05C69LOC-Klassifikation:

QA76.889

DOI: DOI: 10.1007/978-3-319-93827-1Online-Ressourcen:

Zusammenfassung: 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 contextualityZusammenfassung: 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 TheoremPPN: PPN: 1028035020Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS

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