Branching States as The Emergent Structure of a Quantum Universe

Abstract

Quantum Darwinism builds on decoherence theory to explain the emergence of classical behavior in a fundamentally quantum universe. Within this framework we prove two crucial insights about the emergence of classical phenomenology, centered around quantum discord as the measure of quantumness of correlations. First, we show that the so-called branching structure of the joint state of the system and environment is the only one compatible with zero discord. Second, we prove that for small but nonzero discord and for good but not perfect decoherence, the structure of the globally pure state must be arbitrarily close to the branching form, with each branch exhibiting low entanglement. Our results significantly improve on previous bounds and reinforce the existing evidence that this class of branching states is the only one compatible with the emergence of classical phenomenology, as described by Quantum Darwinism.

14 pages, 3 figures

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• Coherence-induced deep thermalization transition in random permutation quantum dynamics
• Metrological approach to the emergence of classical objectivity
• Toy Model Challenging Prevailing Definitions of Classicality
• Thermodynamic Constraints on the Emergence of Intersubjectivity in Quantum Systems
• Information Processing in Quantum Thermodynamic Systems: an Autonomous Hamiltonian Approach