All-versus-nothing violation of local realism from the Hardy paradox under no-signaling

TL;DR

This paper investigates Hardy's non-locality argument within the generalized no-signaling theory, revealing that the success probability increases with system dimension and follows a simple functional form, highlighting fundamental non-locality features.

Contribution

It extends Hardy's argument analysis to GNST, showing the success probability's dependence on system dimension and its simple mathematical form.

Findings

Success probability increases with system dimension in GNST.

The probability follows a simple functional form.

Hardy's non-locality argument is robust in generalized no-signaling theories.

Abstract

Hardy's is one of the simplest arguments concerning non-locality. Recently Chen et. al. have proposed a more generalized Hardy-like argument and have shown that the probability of success increases with local system's dimension. Here we study the same in a minimally constrained theory, namely the generalized no-signaling theory(GNST). We find that not only the probability of success of this argument increases with local system dimension in GNST, it also takes a very simple functional form.