Simulating Bell inequalities with Qibo

TL;DR

This paper introduces educational modules and software tools in Qibo for simulating Bell inequality violations, aiding understanding of quantum entanglement and non-locality in classroom settings.

Contribution

It provides a structured, multi-level educational resource with open-source simulation tools for Bell inequalities in quantum computing.

Findings

Simulations demonstrate Bell inequality violations with current quantum hardware.

Educational modules facilitate understanding of quantum entanglement and non-locality.

The software supports noise modeling and statistical analysis in quantum experiments.

Abstract

We present educational material about Bell inequalities in the context of quantum computing. In particular, we provide software tools to simulate their violation, together with a guide for the classroom discussion. The material is organized in three modules of increasing difficulty, and the relative implementation has been written in Qibo, an open-source software suite to simulate quantum circuits with the ability to interface with quantum hardware. The topic of inequalities allows not only to introduce undergraduate or graduate students to crucial theoretical issues in quantum mechanics -- like entanglement, correlations, hidden variables, non-locality --, but also to practically put hands on tools to implement a real simulation, where statistical aspects and noise coming from current quantum chips also come into play.