Description: 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. Introduction.- Preliminary notions.- Noncontextuality inequalities from variable elimination.- Optimal tests for state-independent contextuality.- Quantum bounds for temporal correlations.- Dimension witnesses.- Conclusions.
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EAN: 9783319241678
UPC: 9783319241678
ISBN: 9783319241678
MPN: N/A
Book Title: Temporal Quantum Correlations and Hidden Variable
Item Length: 23.4 cm
Number of Pages: 114 Pages
Publication Name: Temporal Quantum Correlations and Hidden Variable Models
Language: English
Publisher: Springer International Publishing Ag
Item Height: 235 mm
Subject: Physics
Publication Year: 2015
Type: Textbook
Item Weight: 395 g
Author: Costantino Budroni
Item Width: 155 mm
Format: Hardcover
