On Graph Approaches to Contextuality and their Role in Quantum Theory Paperback / softback
by Barbara Amaral, Marcelo Terra Cunha
Part of the SpringerBriefs in Mathematics series
Paperback / softback
Description
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.
Information
-
Item not Available
- Format:Paperback / softback
- Pages:135 pages, 20 Tables, color; 25 Illustrations, color; 17 Illustrations, black and white; IX, 135 p.
- Publisher:Springer International Publishing AG
- Publication Date:08/08/2018
- Category:
- ISBN:9783319938264
Information
-
Item not Available
- Format:Paperback / softback
- Pages:135 pages, 20 Tables, color; 25 Illustrations, color; 17 Illustrations, black and white; IX, 135 p.
- Publisher:Springer International Publishing AG
- Publication Date:08/08/2018
- Category:
- ISBN:9783319938264
