On graph approaches to contextuality and their role in quantum theory

Resource Information

The work On graph approaches to contextuality and their role in quantum theory represents a distinct intellectual or artistic creation found in University of Liverpool. This resource is a combination of several types including: Work, Language Material, Books.

Label

On graph approaches to contextuality and their role in quantum theory

Statement of responsibility

Barbara Amaral, Marcelo Terra Cunha

Creator

• Amaral, Barbara

Contributor

• Cunha, Marcelo Terra

Author

• Amaral, Barbara
• Cunha, Marcelo Terra

Subject

• Graph theory
• Quantum theory

Language

eng

Summary

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.--

Member of

• Online access with purchase: Springer
• SpringerBriefs in mathematics

Assigning source

Provided by publisher

Cataloging source

N$T

Dewey number

530.12

Index

index present

LC call number

QC174.12

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography

Series statement

SpringerBriefs in mathematics