On Graph Approaches to Contextuality and their Role in Quantum Theory. 1st ed. 2018
- 種類:
- 電子ブック
- 責任表示:
- by Barbara Amaral, Marcelo Terra Cunha
- 出版情報:
- Cham : Springer International Publishing : Imprint: Springer, 2018
- 著者名:
- シリーズ名:
- SpringerBriefs in Mathematics ;
- ISBN:
- 9783319938271 [3319938274]
- 注記:
- 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. - ローカル注記:
- 学内専用E-BOOKS (local access only)
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