On Graph Approaches to Contextuality and their Role in Quantum Theory / / by Barbara Amaral, Marcelo Terra Cunha
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| Autore: |
Amaral Barbara
|
| Titolo: |
On Graph Approaches to Contextuality and their Role in Quantum Theory / / by Barbara Amaral, Marcelo Terra Cunha
|
| Pubblicazione: | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2018 |
| Edizione: | 1st ed. 2018. |
| Descrizione fisica: | 1 online resource (IX, 135 p. 42 illus., 25 illus. in color.) |
| Disciplina: | 004.1 |
| Soggetto topico: | Quantum computers |
| Graph theory | |
| Quantum physics | |
| Quantum Computing | |
| Graph Theory | |
| Quantum Physics | |
| Persona (resp. second.): | Terra CunhaMarcelo |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | 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. |
| Sommario/riassunto: | 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. |
| Titolo autorizzato: | On Graph Approaches to Contextuality and their Role in Quantum Theory |
| ISBN: | 3-319-93827-4 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910300123203321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
SpringerBriefs in Mathematics, . 2191-8198