Hardy's non-locality and generalized non-local theory

TL;DR

This paper investigates Hardy's non-locality theorem within a generalized nonlocal framework, revealing higher nonlocal probabilities than quantum mechanics and finding equal maximum success probabilities in both theories for three two-level systems.

Contribution

It extends Hardy's non-locality theorem to a generalized nonlocal theory, showing higher nonlocal probabilities and identical maximum success rates with quantum mechanics.

Findings

Nonlocal but non-signaling probabilities exceed quantum limits.

Maximum success probability for Hardy's argument is the same in quantum and generalized theories.

Higher nonlocal probabilities are demonstrated in the generalized theory.

Abstract

Hardy's non-locality theorem for multiple two-level systems is explored in the context of generalized nonlocal theory. We find nonlocal but non-signaling probabilities, providing Hardy's nonlocal argument, which are higher than those in Quantum Mechanics. Maximum probability of success of Hardy's argument is obtained for three two-level systems in quantum as well as in a more generalized theory. Interestingly, the maximum in the nonlocal generalized theory for both the cases turns out to be same.