Temporal quantum correlations and hidden variable models
by
Costantino Budroni
→
Europe/Rome
Description
The probabilistic structure arising in quantum mechanics has been recognized to be of a rather different kind with respect to its classical counterpart and such differences have been shown to be useful to improve the efficiency of several information processing tasks.
We review the main approach to the characterization of the set of classical probabilities, known as the correlation polytope approach, for different scenarios, namely, hidden variable models discussed by Bell (local), Kochen and Specker (noncontextual), and Leggett and Garg (macrorealist).
We discuss the computational difficulties associated with the method and how to overcome them in several nontrivial cases.
For the quantum case, we provide a general method to analyze quantum correlations in the sequential measurement scenario, which allows us to compute 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 noncontextuality tests.
