# Strength and typicality of nonlocality in multisetting and multipartite Bell scenarios

## TL;DR

This paper studies the likelihood and robustness of nonlocal quantum correlations in multisetting and multipartite Bell scenarios, revealing that nonlocality becomes almost certain with more qubits and analyzing the distribution of violations under random measurements.

## Contribution

It introduces the concept of typicality of quantum correlations and provides statistical analysis of nonlocality probability in complex multipartite systems with random measurements.

## Key findings

- Nonlocality probability exceeds 5.3% in CHSH scenario.
- Nonlocality probability surpasses 99.99% with more qubits.
- Distribution of violation strengths is characterized for various states.

## Abstract

In this work we investigate the probability of violation of local realism under random measurements in parallel with the strength of these violations as described by resistance to white noise admixture. We address multisetting Bell scenarios involving up to 7 qubits. As a result, in the first part of this manuscript we report statistical distributions of a quantity reciprocal to the critical visibility for various multipartite quantum states subjected to random measurements. The statistical relevance of different classes of multipartite tight Bell inequalities violated with random measurements is investigated. We also introduce the concept of typicality of quantum correlations for pure states as the probability to generate a nonlocal behaviour with both random state and measurement. Although this typicality is slightly above 5.3\% for the CHSH scenario, for a modest increase in the number of involved qubits it quickly surpasses 99.99\%.