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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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing,
2018.
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| Edition: | 1st ed. 2018. |
| Series: | SpringerBriefs in Mathematics,
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| Subjects: | |
| ISBN: | 9783319938271 |
| ISSN: | 2191-8198 |
| Online Access: |
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| 020 | |a 9783319938271 | ||
| 024 | 7 | |a 10.1007/978-3-319-93827-1 |2 doi | |
| 035 | |a CVTIDW12282 | ||
| 040 | |a Springer-Nature |b eng |c CVTISR |e AACR2 | ||
| 041 | |a eng | ||
| 100 | 1 | |a Amaral, Barbara. |4 aut | |
| 245 | 1 | 0 | |a On Graph Approaches to Contextuality and their Role in Quantum Theory |h [electronic resource] / |c by Barbara Amaral, Marcelo Terra Cunha. |
| 250 | |a 1st ed. 2018. | ||
| 260 | 1 | |a Cham : |b Springer International Publishing, |c 2018. | |
| 300 | |a IX, 135 p. 42 illus., 25 illus. in color. |b online resource. | ||
| 490 | 1 | |a SpringerBriefs in Mathematics, |x 2191-8198 | |
| 500 | |a Mathematics and Statistics | ||
| 505 | 0 | |a 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. | |
| 516 | |a text file PDF | ||
| 520 | |a 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. | ||
| 650 | 0 | |a Quantum computers. | |
| 650 | 0 | |a Graph theory. | |
| 650 | 0 | |a Quantum physics. | |
| 856 | 4 | 0 | |u http://hanproxy.cvtisr.sk/han/cvti-ebook-springer-eisbn-978-3-319-93827-1 |y Vzdialený prístup pre registrovaných používateľov |
| 910 | |b ZE09562 | ||
| 919 | |a 978-3-319-93827-1 | ||
| 974 | |a andrea.lebedova |f Elektronické zdroje | ||
| 992 | |a SUD | ||
| 999 | |c 238304 |d 238305 | ||