The Cabello Nonlocal Argument is Stronger Control than the Hardy Nonlocal Argument for Detecting Post-Quantum Correlations

TL;DR

This paper compares the strength of Cabello and Hardy nonlocal arguments in detecting post-quantum correlations, finding that CNA provides stronger control than HNA under various physical principles.

Contribution

It demonstrates that the Cabello nonlocal argument is more effective than Hardy's in identifying post-quantum no-signalling correlations across multiple principles.

Findings

CNA exhibits a larger gap between quantum mechanics and the principles than HNA.

CNA is a stronger control for detecting post-quantum correlations.

The study considers all possibilities of local randomness.

Abstract

In this paper, we study the Hardy nonlocal argument (HNA) and the Cabello nonlocal argument (CNA) under the Information Causality, Macroscopic Locality and Local Orthogonality principles in the context of Local Randomness. We see that, in the context of all the possibilities of local randomness, the gap between the quantum mechanics and the above principles, in the Cabello's nonlocality argument is larger than the Hardy's case. Therefore the CNA is stronger control than the HNA for detecting post-quantum nosignalling correlations.