Bound on Hardy's non-locality from the principle of Information Causality

TL;DR

This paper derives an upper bound on Hardy's nonlocality success probability using the principle of information causality, showing it exceeds quantum limits but remains below no-signaling bounds.

Contribution

It introduces a bound on Hardy's nonlocality within a generalized probability framework constrained by information causality, extending to Cabello's nonlocality argument.

Findings

Bound exceeds quantum mechanical limits

Bound remains below no-signaling constraints

Analysis of Cabello's nonlocality argument included

Abstract

Recently,the principle of nonviolation of information causality [Nature 461,1101 (2009)], has been proposed as one of the foundational properties of nature. We explore the Hardy's nonlocality theorem for two qubit systems, in the context of generalised probability theory, restricted by the principle of nonviolation of information causality. Applying, a sufficient condition for information causality violation, we derive an upper bound on the maximum success probability of Hardy's nonlocality argument. We find that the bound achieved here is higher than that allowed by quantum mechanics,but still much less than what the nosignaling condition permits. We also study the Cabello type nonlocality argument (a generalization of Hardy's argument) in this context.