EAN: 9783319938264

Bilder-Quelle: discount24.de - Sport-Freizeit

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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23.03.2025 um 23:58 Uhr

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