On The Complete Description Of Entangled Systems Part I: Hidden Variables And The Context Communication Cost of Simulating Quantum Correlations

TL;DR

This paper explores classical simulation methods for quantum correlations, demonstrating that with minimal communication, such simulations can violate classical bounds and mimic quantum entanglement.

Contribution

It introduces a framework for simulating quantum correlations using hidden variables and minimal communication, surpassing traditional classical limits.

Findings

Classical simulations can violate Bell inequalities with minimal communication.

A single bit of communication suffices to reproduce quantum correlations.

Simulations can exceed Tsirelson's bound under certain conditions.

Abstract

Some forms of classical simulations of quantum type probabilities and correlations are capable of violating Boole's conditions of possible experience, such as the Clauser-Horne-Shimony-Holt inequality, even beyond the Tsirelson bound. This can be achieved by communicating a single bit encoding the measurement context.