Tsirelson's Bound Prohibits Communication Through a Disconnected Channel

TL;DR

This paper constructs a theoretical channel demonstrating that surpassing Tsirelson's bound would enable communication despite statistical independence, providing a fundamental reason for the bound's limit on nonlocal correlations.

Contribution

It introduces a novel channel model showing that Tsirelson's bound prevents communication through statistically independent inputs and outputs, offering a new statistical justification for the bound.

Findings

Communication is possible only if Tsirelson's bound is violated.

The constructed channel is statistically independent but allows information transfer.

Supports the fundamental nature of Tsirelson's bound in quantum correlations.

Abstract

Why does nature only allow nonlocal correlations up to Tsirelson's bound and not beyond? We construct a channel whose input is statistically independent of its output, but through which communication is nevertheless possible if and only if Tsirelson's bound is violated. This provides a statistical justification for Tsirelson's bound on nonlocal correlations in a bipartite setting.