# Violation of Mermin's version of a Bell inequality in a classical statistical model

## TL;DR

This paper demonstrates that a classical statistical model can violate Mermin's Bell inequality when measurements alter the ensemble, highlighting parallels with quantum measurement effects.

## Contribution

It shows that classical models can violate Mermin's Bell inequality through measurement-induced ensemble modifications, challenging traditional quantum-classical distinctions.

## Key findings

- Classical statistical models can violate Mermin's Bell inequality.
- Measurement processes that modify the ensemble are key to the violation.
- The violation mimics quantum measurement effects.

## Abstract

We investigate a classical statistical model and show that Mermin's version of a Bell inequality is violated. We get this violation, if the measurement modifies the ensemble, a feature, which is also characteristic for measurement processes for quantum systems.