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Temporal quantum correlations and hidden variable models

Author: Costantino Buni
Publisher: Cham : Springer, [2016] ©2016
Dissertation: Doctoral Universität-Gesamthochschule-Siegen 2015
Series: Springer theses.
Edition/Format:   Thesis/dissertation : Document : Thesis/dissertation : eBook   Computer File : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Printed edition:
Material Type: Document, Thesis/dissertation, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Costantino Buni
ISBN: 9783319241692 3319241699
OCLC Number: 926705651
Notes: "Doctoral thesis accepted by University of Siegen, Germany."
Description: 1 online resource (xiii, 114 pages).
Contents: Introduction --
Preliminary notions --
Noncontextuality inequalities from variable elimination --
Optimal tests for state-independent contextuality --
Quantum bounds for temporal correlations --
Dimension witnesses --
Conclusions. .
Series Title: Springer theses.
Responsibility: Costantino Budroni.

Abstract:

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.

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