Redundantly amplified information suppresses quantum correlations in many-body systems

Abstract

We quantify how much information about a quantum system can be simultaneously recorded in different parts of its environment, by establishing quantitative bounds on bipartite quantum correlations in many-body systems. Tight limits on quantum discord dictate that independent observers who monitor environmental fragments can eavesdrop only on amplified and redundantly disseminated - hence, effectively classical - information about the system, i.e., information about its unique pointer observable. We also show how the emergence of classical objectivity is signalled by a distinctive scaling of the conditional mutual information, bypassing hard numerical optimizations. Our results validate the core idea of Quantum Darwinism: objective classical reality need not be postulated and is not accidental, but rather a compelling, emergent feature of a quantum world.