On Graph Approaches to Contextuality and their Role in Quantum Theory
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 non...
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| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cham :
Springer International Publishing,
2018.
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| Ausgabe: | 1st ed. 2018. |
| Schriftenreihe: | SpringerBriefs in Mathematics,
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| Schlagworte: | |
| ISBN: | 9783319938271 |
| ISSN: | 2191-8198 |
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| 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 contextuality. |
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| Beschreibung: | Mathematics and Statistics |
| Beschreibung: | IX, 135 p. 42 illus., 25 illus. in color. online resource. |
| ISBN: | 9783319938271 |
| ISSN: | 2191-8198 |