On Graph Approaches to Contextuality and their Role in Quantum Theory
Produktnummer:
1892801d4a641c4f1db40aaf6aa9e3e1af
| Autor: | Amaral, Barbara Terra Cunha, Marcelo |
|---|---|
| Themengebiete: | contextuality graph-theoretical invariants graph theory invariants quantum computing quantum correlations quantum theory |
| Veröffentlichungsdatum: | 08.08.2018 |
| EAN: | 9783319938264 |
| Sprache: | Englisch |
| Seitenzahl: | 135 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer International Publishing |
Produktinformationen "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 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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