Local randomness in Cabello's non-locality argument from the Information Causality principle

TL;DR

This paper investigates the differences between quantum correlations and those permitted by the information causality principle, focusing on local randomness within Cabello's nonlocality argument, highlighting subtle distinctions from Hardy's approach.

Contribution

It explores the gap between quantum and information causality constraints using Cabello's nonlocality argument, emphasizing local randomness aspects.

Findings

Identifies differences in correlation gaps compared to Hardy's argument

Analyzes the role of local randomness in nonlocality

Highlights subtle distinctions in information causality constraints

Abstract

The principle of non-violation of "information causality", has been proposed as one of the foundational properties of nature\cite{nature}. The main goal of the paper is to explore the gap between quantum mechanical correlations and those allowed by "information causality" in the context of local randomness by using Cabello's nonlocality argument. This is interesting because the gap is slightly different than in the context of Hardy's similar nonlocality argument\cite{gazi}