Bell Nonlocality

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Prof Valerio Scarani (Principle Investigator and Professor, Principle Investigator and Professor, National University of Singapore)

Bell Nonlocality

Prof Valerio Scarani (Principle Investigator and Professor, Principle Investigator and Professor, National University of Singapore)

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English

Oxford University Press
21 August 2019

Theoretical & mathematical astronomy; Particle & high-energy physics; Quantum physics (quantum mechanics & quantum field theory)

Series: Oxford Graduate Texts

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.

By: Prof Valerio Scarani (Principle Investigator and Professor Principle Investigator and Professor National University of Singapore)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 248mm, Width: 176mm, Spine: 17mm
Weight: 633g
ISBN: 9780198788416
ISBN 10: 019878841X
Series: Oxford Graduate Texts
Pages: 240
Publication Date: 21 August 2019
Audience: College/higher education , Further / Higher Education
Format: Hardback
Publisher's Status: Active

I Classical Bell Nonlocality 1: First Encounter with Bell Nonlocality 2: Formalising Bell Nonlocality 3: Bell Nonlocality in Quantum Theory 4: Review of Bipartite Bell Scenarios 5: Multipartite Bell Nonlocality II Nonlocality as a Tool for Certification 6: The Set of Quantum Behaviors 7: Device-independent Self-Testing 8: Certifying Randomness III Foundational Insights from Nonlocality 9: Nolocality in the No-signaling Framework 10: The Quest for Device-Independent Quantum Principles 11: Signaling and Measurement Dependence 12: Epilogue Appendix A: History Museum Appendix B: Experimental Platforms: A Reading Guide Appendix C: Notions of Quantum Theory Used in This Book Appendix D: LV Models for Single Systems Appendix E: Basic Notions of Convex Optimisation Appendix F: Device-Independent Certification: History and Review Appendix G: Repository of Technicalities

Valerio Scarani was born in Milan in 1972. He graduated from Ecole Polytechnique Federale de Lausanne in 1996 and received his doctorate in physics from the same institution in 2000. He then moved to the University of Geneva, where he started working on quantum information science, notably quantum cryptography and Bell nonlocality. In 2007 he joined the National University of Singapore, as a member of the Physics Department and Principal Investigator at the Centre for Quantum Technologies.