Heidelberg 2015 – wissenschaftliches Programm
SYAD 1.1: Hauptvortrag
Dienstag, 24. März 2015, 11:00–11:30, C/HSW
Temporal quantum correlations and hidden variable models — •Costantino Budroni — Universität Siegen, Walter-Flex-Straße 3, 57068, Siegen, Germany
In classical physics, randomness can be explained by hidden, or simply impossible to control, variables, which determine the dynamics of a system. In the quantum case, several types of hidden variable models have been shown to be in contradiction with theoretical predictions and experiments.
In my talk, I first 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). Then, I discuss the computational difficulties associated with the method and how to overcome them in several nontrivial cases. For the quantum case, I provide a general method to analyze quantum correlations in the sequential measurement scenario, which allows one 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. Finally, I discuss possible applications of the results for quantum information tasks and a possible experimental implementation of Leggett-Garg and noncontextuality tests on cold atoms and nanomechanical oscillators.