| 书目名称 | On Graph Approaches to Contextuality and their Role in Quantum Theory |
| 编辑 | Barbara Amaral,Marcelo‘Terra Cunha |
| 视频video | |
| 概述 | Gathers together results that were previously only available in papers.Explores the graph approach as a way to better understand probability measurement in a quantum framework.Presents the fundamental |
| 丛书名称 | SpringerBriefs in Mathematics |
| 图书封面 |  |
| 描述 | 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.. |
| 出版日期 | Book 2018 |
| 关键词 | contextuality; invariants; quantum correlations; quantum theory; graph-theoretical invariants; graph theo |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-93827-1 |
| isbn_softcover | 978-3-319-93826-4 |
| isbn_ebook | 978-3-319-93827-1Series ISSN 2191-8198 Series E-ISSN 2191-8201 |
| issn_series | 2191-8198 |
| copyright | The Author(s), under exclusive licence to Springer Nature Switzerland AG 2018 |
发表于 2025-3-21 19:08:08
