[DOWNLOAD] "On Graph Approaches to Contextuality and their Role in Quantum Theory" by Barbara Amaral & Marcelo Terra Cunha ~ eBook PDF Kindle ePub Free

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eBook details

• Title: On Graph Approaches to Contextuality and their Role in Quantum Theory
• Author : Barbara Amaral & Marcelo Terra Cunha
• Release Date : January 28, 2018
• Genre: Physics,Books,Science & Nature,Mathematics,
• Pages : * pages
• Size : 8776 KB

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.

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