Leggett-Garg-like Inequalities from a Correlation Matrix Construction
Abstract
The Leggett-Garg Inequality (LGI) constrains, under certain fundamental assumptions, the correlations between measurements of a quantity Q at different times. Here we analyze the LGI, and propose similar but somewhat more elaborate inequalities, employing a technique that utilizes the mathematical properties of correlation matrices, which was recently proposed in the context of nonlocal correlations. We also find that this technique can be applied to inequalities that combine correlations between different times (as in LGI) and correlations between different locations (as in Bell inequalities). All the proposed bounds include additional correlations compared to the original ones and also lead to a particular form of complementarity. A possible experimental realization and some applications are briefly discussed.
Keywords
Cite
@article{arxiv.2303.09107,
title = {Leggett-Garg-like Inequalities from a Correlation Matrix Construction},
author = {Dana Ben Porath and Eliahu Cohen},
journal= {arXiv preprint arXiv:2303.09107},
year = {2023}
}
Comments
8 pages and 3 subfigures. The article was accepted for publication in Quantum Reports