Bell Nonlocality
Series: Oxford Graduate Texts;
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Product details:
- Publisher OUP Oxford
- Date of Publication 25 January 2024
- ISBN 9780198896821
- Binding Paperback
- No. of pages240 pages
- Size 247x170x12 mm
- Weight 428 g
- Language English
- Illustrations 18 grayscale line drawings 482
Categories
Short description:
Quantum technologies have seen a tremendous upsurge in recent years. Bell nonlocality, one of the most striking discoveries triggered by quantum theory, has been instrumental in this trend. It states that in some situations measurements of physical systems do not reveal pre-existing properties, but properties are created by the measurement itself.
MoreLong description:
This is an open access title. It is made available under a Creative Commons Attribution-Non Commercial-No Derivatives 4.0 International licence. It is available to read and download as a PDF version on the Oxford Academic platform.
The development of quantum technologies has seen a tremendous upsurge in recent years, and the theory of Bell nonlocality has been key in making these technologies possible. Bell nonlocality is one of the most striking discoveries triggered by quantum theory. It states that in some situations, measurements of physical systems do not reveal pre-existing properties; rather, the property is created by the measurement itself. In 1964, John Bell demonstrated that the predictions of quantum theory are incompatible with the assumption that outcomes are predetermined. This phenomenon has been observed beyond any doubt in the last decades. It is an observation that is here to stay, even if quantum theory were to be replaced in the future. Besides having fundamental implications, nonlocality is so specific that it can be used to develop and certify reliable quantum devices.
This book is a logical, rather than historical, presentation of nonlocality and its applications. Part 1 opens with a survey of the meaning of Bell nonlocality and its interpretations, then delves into the mathematical formalisation of this phenomenon, and finally into its manifestations in quantum theory. Part 2 is devoted to the possibility of using the evidence of nonlocality for certification of devices for quantum technologies. Part 3 explores some of the extensions and consequences of nonlocality for the foundations of physics.
Valerio Scarani has produced the first comprehensive textbook on the topic. His lucid exploration
of Bell nonlocality guides the reader through some of the most puzzling features of quantum
theory and beyond, striking a nice balance between mathematical precision and accessibility.
The book is remarkably thorough and up to date, covering many interesting aspects of this rapidly
evolving field.
Table of Contents:
I Classical Bell Nonlocality
First Encounter with Bell Nonlocality
Formalising Bell Nonlocality
Bell Nonlocality in Quantum Theory
Review of Birpartite Bell Scenarios
Multipartite Bell Nonlocality
II Nonlocality as a Tool for Certification
The Set of Quantum Behaviours
Device-Independent Self-Testing
Certifying Randomness
III Foundational Insights from Nonlocality
Nonlocality in the No-Signaling Framework
The Quest for Device-Independent Quantum Principles
Signaling and Measurement Dependence
Epilogue
History Museum
Experimental Platforms: A Reading Guide
Notions of Quantum Theory Used in This Book
LV Models for Single Systems
Basic Notions of Convex Optimisation
Device-Independent Certification: History and Review
Repository of Technicalities
