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.
| ISBN: | 9783319241678 |
| Publication date: | 4th November 2015 |
| Author: | Costantino Budroni |
| Publisher: | Springer an imprint of Springer International Publishing |
| Format: | Hardback |
| Pagination: | 114 pages |
| Series: | Springer Theses |
| Genres: |
Quantum physics (quantum mechanics and quantum field theory) Condensed matter physics (liquid state and solid state physics) Materials science |
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.
Temporal Quantum Correlations and Hidden Variable Models features in the following genres: Quantum physics (quantum mechanics and quantum field theory), Condensed matter physics (liquid state and solid state physics), Materials science
Temporal Quantum Correlations and Hidden Variable Models is available in Hardback
Temporal Quantum Correlations and Hidden Variable Models was written by Costantino Budroni and published by Springer an imprint of Springer International Publishing
Temporal Quantum Correlations and Hidden Variable Models has 114 pages
Yes it is part of Springer Theses series