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Temporal Quantum Correlations and Hidden Variable Models

  • Book
  • © 2016

Overview

Authors:
  1. Costantino Budroni

    1. University of Siegen, Siegen, Germany

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  • Selected for the 2015 Dissertation-Prize Symposium of the German Physical Society
  • Nominated as an outstanding PhD Thesis by the University of Siegen
  • Accessible pedagogical presentation for newcomers to quantum foundations
  • Contains a concise and self-contained review of the most recent advances on the hidden variable problem and foundations of quantum mechanics
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Introduction

    • Costantino Budroni
    Pages 1-33

  3. Noncontextuality Inequalities from Variable Elimination

    • Costantino Budroni
    Pages 35-45

  4. Optimal Tests for State-Independent Contextuality

    • Costantino Budroni
    Pages 47-56

  5. Quantum Bounds for Temporal Correlations

    • Costantino Budroni
    Pages 57-72

  6. Dimension Witnesses

    • Costantino Budroni
    Pages 73-106

  7. Conclusions

    • Costantino Budroni
    Pages 107-109

  8. Back Matter

    Pages 111-114
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Keywords

About this book

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.

Authors and Affiliations

  • University of Siegen, Siegen, Germany

    Costantino Budroni

Bibliographic Information

  • Book Title: Temporal Quantum Correlations and Hidden Variable Models

  • Authors: Costantino Budroni

  • Series Title: Springer Theses

  • DOI: https://doi.org/10.1007/978-3-319-24169-2

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer International Publishing Switzerland 2016

  • Hardcover ISBN: 978-3-319-24167-8Published: 04 November 2015

  • Softcover ISBN: 978-3-319-37417-8Published: 23 August 2016

  • eBook ISBN: 978-3-319-24169-2Published: 22 October 2015

  • Series ISSN: 2190-5053

  • Series E-ISSN: 2190-5061

  • Edition Number: 1

  • Number of Pages: XIII, 114

  • Topics: Quantum Physics, Quantum Information Technology, Spintronics

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