CTC assisted PR box type correlation can lead to signaling

TL;DR

This paper explores how super quantum correlations, like PR boxes, can lead to signaling when combined with closed time-like curves, challenging the no-signaling principle.

Contribution

It demonstrates that PR box correlations can enable signaling in the presence of closed time-like curves, revealing potential limitations of non-local correlations.

Findings

Super quantum correlations can lead to signaling with closed time-like curves.

PR boxes violate no-signaling when combined with certain spacetime structures.

The study extends understanding of non-local correlations in relativistic contexts.

Abstract

It is known that there exist non-local correlations that respect no-signaling criterion, but violate Bell-type inequalities more than quantum-mechanical correlations. Such super quantum correlations were introduced as the Popescu-Rohrlich (PR) box. We consider such non-local boxes with two/three inputs and two/three outputs. We show that these super quantum correlations can lead to signaling when at least one of the input bit has access to a word line along a closed time-like curve.