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E-grāmata: Bell Nonlocality

(Principle Investigator and Professor, National University of Singapore)
  • Formāts: 256 pages
  • Sērija : Oxford Graduate Texts
  • Izdošanas datums: 13-Aug-2019
  • Izdevniecība: Oxford University Press
  • Valoda: eng
  • ISBN-13: 9780191092640
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Bell NonlocalityPalielināt
  • Formāts: 256 pages
  • Sērija : Oxford Graduate Texts
  • Izdošanas datums: 13-Aug-2019
  • Izdevniecība: Oxford University Press
  • Valoda: eng
  • ISBN-13: 9780191092640
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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.

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.

Recenzijas

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. * Artur Ekert, University of Oxford and Centre for Quantum Technologies, Singapore * Bell nonlocality is the phenomenon in which quantum physics more radically departs from our classical intuition. It is not only relevant for our understanding of quantum theory, but has also acquired the status of a resource, as it is the key ingredient for device-independent certification of quantum resources. In this book, Scarani, expert in the study of Bell nonlocality, describes these ideas, providing a unified view of Bell nonlocality both as a fundamental and a practical concept. * Antonio Acķn, ICFOThe Institute of Photonic Sciences, Barcelona, Spain *

I Classical Bell Nonlocality1. First Encounter with Bell Nonlocality2. Formalising Bell Nonlocality3. Bell Nonlocality in Quantum Theory4. Review of Birpartite Bell Scenarios5. Multipartite Bell NonlocalityII Nonlocality as a Tool for Certification6. The Set of Quantum Behaviours7. Device-Independent Self-Testing8. Certifying RandomnessIII Foundational Insights from Nonlocality9. Nonlocality in the No-Signaling Framework10. The Quest for Device-Independent Quantum Principles11. Signaling and Measurement Dependence12. EpilogueAppendix A. History MuseumAppendix B. Experimental Platforms: A Reading GuideAppendix C. Notions of Quantum Theory Used in This BookAppendix D. LV Models for Single SystemsAppendix E. Basic Notions of Convex OptimisationAppendix F. Device-Independent Certification: History and ReviewAppendix 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.
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