The Cabello Nonlocality Argument is Stronger Control than the Hardy Nonlocality Argument for Detecting Post-Quantum Correlations in the Bipartite Systems

Abstract

In this paper, we study the Hardy nonlocality argument (HNA) and the Cabello nonlocality argument (CNA) under the Information Causality (IC), Macroscopic Locality (ML) and Local Orthogonality (LO) principles with respected to Local Randomness. We show that, in the context of all possibilities of local randomness, the gap between the quantum mechanics and the above principles, in the CNA is larger than the HNA. Therefore, the CNA is stronger control than the HNA for detecting post-quantum nosignalling correlations in the bipartite systems.