Inicio > Matemáticas y ciencia > Física > Física cuántica (mecánica cuántica y teoría cuántica de campos) > On Graph Approaches to Contextuality and their Role in Quantum Theory
On Graph Approaches to Contextuality and their Role in Quantum Theory

On Graph Approaches to Contextuality and their Role in Quantum Theory

Barbara Amaral / Marcelo Terra Cunha

74,31 €
IVA incluido
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Editorial:
Springer Nature B.V.
Año de edición:
2018
Materia
Física cuántica (mecánica cuántica y teoría cuántica de campos)
ISBN:
9783319938264
74,31 €
IVA incluido
Disponible

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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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