# Multipartite nonlocality and random measurements

## TL;DR

This paper conducts a comprehensive numerical study showing that multipartite quantum states almost always violate local realism with random measurements, highlighting the prevalence of nonlocality and its relation to entanglement.

## Contribution

It provides the first exhaustive numerical analysis of violation probabilities in multipartite states, revealing rapid increase with system size and establishing violation as a typical feature.

## Key findings

- Violation probability increases with number of parties and settings
- Almost all states violate local realism with random measurements
- Violation probability serves as a witness for genuine multipartite entanglement

## Abstract

We present an exhaustive numerical analysis of violations of local realism by families of multipartite quantum states. As an indicator of nonclassicality we employ the probability of violation for randomly sampled observables. Surprisingly, it rapidly increases with the number of parties or settings and even for relatively small values local realism is violated for almost all observables. We have observed this effect to be typical in the sense that it emerged for all investigated states including some with randomly drawn coefficients. We also present the probability of violation as a witness of genuine multipartite entanglement.