Redundantly amplified information suppresses quantum correlations in many-body systems

Abstract

We establish bounds on quantum correlations in many-body systems. They reveal what sort of information about a quantum system can be simultaneously recorded in different parts of its environment. Specifically, independent agents who monitor environment fragments can eavesdrop only on amplified and redundantly disseminated - hence, effectively classical - information about the decoherence-resistant pointer observable. We also show that the emergence of classical objectivity is signaled 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 does not need to be postulated and is not accidental, but rather a compelling emergent feature of quantum theory that otherwise - in absence of decoherence and amplification - leads to "quantum weirdness". In particular, a lack of consensus between agents that access environment fragments is bounded by the information deficit, a measure of the incompleteness of the information about the system.

LA-UR-21-29948

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Cited by in corpus (14)

• Quantum Theory of the Classical: Einselection, Envariance, Quantum Darwinism and Extantons
• Branching States as The Emergent Structure of a Quantum Universe
• Pointer states and quantum Darwinism with 2-body interactions
• Classifying two-body Hamiltonians for Quantum Darwinism
• Thermodynamics of quantum information in noisy polarizers
• Observation of Quantum Darwinism and the Origin of Classicality with Superconducting Circuits
• Compatibility of Quantum Measurements and the Emergence of Classical Objectivity
• Flow of quantum correlations in noisy two-mode squeezed microwave states
• System-environment quantum information flow
• Quantum Darwinism-encoding transitions on expanding trees
• On the relation between quantum Darwinism and approximate quantum Markovianity
• Quantitative bounds to propagation of quantum correlations in many-body systems
• Metrological approach to the emergence of classical objectivity
• Information Processing in Quantum Thermodynamic Systems: an Autonomous Hamiltonian Approach