On Graph Approaches to Contextuality and their Role in Quantum Theory

• Main Authors: Amaral, Barbara (Author, http://id.loc.gov/vocabulary/relators/aut), Terra Cunha, Marcelo (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: SpringerBriefs in Mathematics,
• Subjects: Quantum computers.; Graph theory.; Quantum physics.; Quantum Computing.; Graph Theory.; Quantum Physics.

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...

Table of Contents:

• 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.