On the Device-Independent Approach to Quantum Physics

Advances in Quantum Nonlocality and Multipartite Entanglement Detection

  • Jean-Daniel Bancal
Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Jean-Daniel Bancal
    Pages 1-9
  3. Jean-Daniel Bancal
    Pages 11-21
  4. Jean-Daniel Bancal
    Pages 39-53
  5. Jean-Daniel Bancal
    Pages 55-62
  6. Jean-Daniel Bancal
    Pages 63-72
  7. Jean-Daniel Bancal
    Pages 81-87
  8. Jean-Daniel Bancal
    Pages 89-96
  9. Jean-Daniel Bancal
    Pages 107-108
  10. Back Matter
    Pages 109-119

About this book

Introduction

Quantum physics started in the 1920's with wave mechanics and the wave-particle duality. However, the last 20 years have seen a second quantum revolution, centered around non-locality and quantum correlations between measurement outcomes. The associated key property, entanglement, is recognized today as the signature of quantumness. This second revolution opened the possibility of studying quantum correlations without any assumption on the internal functioning of the measurement apparata, the so-called Device-Independent Approach to Quantum Physics.
 
This thesis explores this new approach using the powerful geometrical tool of polytopes. Emphasis is placed on the study of non-locality in the case of three or more parties, where it is shown that a whole new variety of phenomena appear compared to the bipartite case. Genuine multiparty entanglement is also studied for the first time within the device-independent framework. Finally, these tools are used to answer a long-standing open question: could quantum non-locality be explained by influences that propagate from one party to the others faster than light, but that remain hidden so that one cannot use them to communicate faster than light? This would provide a way around Einstein's notion of action at a distance that would be compatible with relativity. However, the answer is shown to be negative, as such influences could not remain hidden.

Keywords

Bell Experiment Bell Inequalities Device-Independence Hidden Influences Local Causality Local Hidden Variables Multipartite Entanglement Multipartite Nonlocality Quantum Nonlocality Superluminal Influences

Authors and affiliations

  • Jean-Daniel Bancal
    • 1
  1. 1.Centre for Quantum TechnologiesNational University of SingaporeSingaporeSingapore

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-01183-7
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-01182-0
  • Online ISBN 978-3-319-01183-7
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061