Extreme violation of local realism in quantum hypergraph states

TL;DR

This paper investigates the nonlocal properties of quantum hypergraph states, revealing their potential for strong violations of local realism and applications in quantum information processing.

Contribution

It introduces the nonlocality proofs for hypergraph states and demonstrates their exponential violation of local realism, highlighting their usefulness in quantum technologies.

Findings

Hypergraph states exhibit strong nonlocal correlations.

Exponential violation of local realism demonstrated.

Potential applications in quantum metrology and computation.

Abstract

Hypergraph states form a family of multiparticle quantum states that generalizes the well-known concept of Greenberger-Horne-Zeilinger states, cluster states, and more broadly graph states. We study the nonlocal properties of quantum hypergraph states. We demonstrate that the correlations in hypergraph states can be used to derive various types of nonlocality proofs, including Hardy-type arguments and Bell inequalities for genuine multiparticle nonlocality. Moreover, we show that hypergraph states allow for an exponentially increasing violation of local realism which is robust against loss of particles. Our results suggest that certain classes of hypergraph states are novel resources for quantum metrology and measurement-based quantum computation.