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Temporal Quantum Correlations and Hidden Variable Models

Buch | Hardcover
XIII, 114 Seiten
2015 | 1st ed. 2016
Springer International Publishing (Verlag)
978-3-319-24167-8 (ISBN)

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Temporal Quantum Correlations and Hidden Variable Models - Costantino Budroni
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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.

Erscheint lt. Verlag 4.11.2015
Reihe/Serie Springer Theses
Zusatzinfo XIII, 114 p.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Themenwelt Naturwissenschaften Physik / Astronomie Festkörperphysik
Naturwissenschaften Physik / Astronomie Quantenphysik
Naturwissenschaften Physik / Astronomie Theoretische Physik
Technik Maschinenbau
Schlagworte Classical versus quantum probabilities • Contextuality in Quantum Physics • Kochen-Specker Theorem • Leggett-Garg inequalities • Physics and Astronomy • Quantum Correlations • Quantum Information Technology, Spintronics • Quantum Nonlocality • Quantum Physics • Sequential measurements of quantum system
ISBN-10 3-319-24167-2 / 3319241672
ISBN-13 978-3-319-24167-8 / 9783319241678
Zustand Neuware
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