Increased success probability in Hardy's nonlocality: Theory and demonstration

TL;DR

This paper presents a new quantum nonlocality scheme for n-particle systems, combining theoretical analysis and quantum circuit simulations, demonstrating increased success probability and experimental validation on real quantum computers.

Contribution

It introduces a novel n-particle nonlocality scheme with analytical and simulation approaches, showing improved success probabilities over previous results.

Findings

Success probability asymptotes at 15.6% for large n

Quantum circuit simulations match analytical results

Reasonable experimental results obtained on real quantum computers

Abstract

Depending on the way one measures, quantum nonlocality might manifest more visibly. Using basis transformations and interactions on a particle pair, Hardy logically argued that any local hidden variable theory leads to a paradox. Extended from the original work, we introduce a quantum nonlocal scheme for n-particle systems using two distinct approaches. First, a theoretical model is derived with analytical results for Hardy's nonlocality conditions and probability. Second, a quantum simulation using quantum circuits is constructed that matches very well to the analytical theory. When demonstrated on real quantum computers for n=3, we obtain reasonable results compared to theory. Even at macroscopic scales as n grows, the success probability asymptotes 15.6%, which is stronger than previous results.