Temporal Quantum Correlations and Hidden Variable Models

  • Costantino┬áBudroni

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Costantino Budroni
    Pages 1-33
  3. Costantino Budroni
    Pages 47-56
  4. Costantino Budroni
    Pages 57-72
  5. Costantino Budroni
    Pages 73-106
  6. Costantino Budroni
    Pages 107-109
  7. Back Matter
    Pages 111-114

About this book

Introduction

In this thesis, the main approach to the characterization of the set of classical probabilities, the correlation polytope approach, is reviewed for different scenarios, namely, hidden variable models discussed by Bell (local), Kochen and Specker (non-contextual), and Leggett and Garg (macrorealist). Computational difficulties associated with the method are described and a method to overcome them in several nontrivial cases is presented. For the quantum case, a general method to analyze quantum correlations in the sequential measurement scenario is provided, which allows computation of the maximal correlations.

Such a method has a direct application for computation of maximal quantum violations of Leggett-Garg inequalities and it is relevant in the analysis of non-contextuality tests. Finally, possible applications of the results for quantum information tasks are discussed.

Keywords

Classical versus quantum probabilities Contextuality in Quantum Physics Kochen-Specker theorem Leggett-Garg inequalities Quantum correlations Quantum nonlocality Sequential measurements of quantum system

Authors and affiliations

  • Costantino┬áBudroni
    • 1
  1. 1.University of SiegenSiegenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-24169-2
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-24167-8
  • Online ISBN 978-3-319-24169-2
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • About this book
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