Leggett-Garg-like Inequalities from a Correlation Matrix Construction

Autor:	Porath, Dana Ben, Cohen, Eliahu
Rok vydání:	2023
Předmět:	Quantum Physics
Druh dokumentu:	Working Paper
Popis:	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. Comment: 8 pages and 3 subfigures. The article was accepted for publication in Quantum Reports
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.09107 Zobrazit plný text záznamu View this record from Arxiv