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

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.

4 pages, 4 figures

References in corpus (10)

• Bell inequality violation with two remote atomic qubits
• Experimental joint weak measurement on a photon pair as a probe of Hardy's Paradox
• Direct observation of Hardy's paradox by joint weak measurement with an entangled photon pair
• Semi-device-independent bounds on entanglement
• Proofs of nonlocality without inequalities revisited
• Testing Hardy nonlocality proof with genuine energy-time entanglement
• Nonlocality of $W$ and Dicke states subject to losses
• Hardy's Test versus the CHSH Test of Quantum Non-Locality: Fundamental and Practical Aspects
• A unified view on Hardy's paradox and the CHSH inequality
• Experimenting quantum phenomena on NISQ computers using high level quantum programming

Cited by in corpus (1)

• Trade-off relation between integrated metrological gain and local dissipation in magnetic-field sensing by quantum spin ensemble