Redundant Records of the Past: Unifying Quantum Darwinism and Decoherent Histories

arXiv:2610.09845 · quant-ph, cond-mat.stat-mech, gr-qc · Submitted 2026-10-07 · Read on arXiv

quant-ph, cond-mat.stat-mech, gr-qc

Submitted: 2026-10-07

Updated: 2026-10-07

Comments: I do not permit the use of this work for AI training without my explicit consent. 21 pages in total incl. 10 figures, 99 references, and 2.5 pages appendix. Comments are welcome!

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Redundancy — 115× in this paper · explained in 2 episodes
• Entanglement — 9× in this paper · explained in 4 episodes
• Trace — 6× in this paper · explained in 2 episodes
• Fidelity — 5× in this paper · explained in 2 episodes
• Generalization — 4× in this paper · explained in 13 episodes
• Hilbert Space — 3× in this paper · explained in 2 episodes
• Consistency — 2× in this paper · explained in 3 episodes
• Entanglement Entropy — 2× in this paper · explained in 2 episodes
• Gibbs State — 2× in this paper · explained in 2 episodes
• Non-Markovianity — 2× in this paper · explained in 3 episodes
• Abundance — 1× in this paper · explained in 1 episode
• Conservation Laws — 1× in this paper · explained in 3 episodes
• Core — 1× in this paper · explained in 2 episodes
• Multipartite Entanglement — 1× in this paper · explained in 3 episodes
• Robustness — 1× in this paper · explained in 5 episodes
• Spectral Gap — 1× in this paper · explained in 5 episodes
• Trace Distance — 1× in this paper · explained in 3 episodes
• Unitary Dynamics — 1× in this paper · explained in 2 episodes

Sources

• Redundancy from Subsystem Thermalization
• On the emergence of preferred structures in quantum theory
• Modelling quantum measurement dynamics: from decoherence to redundancy with site-hopping indistinguishable particles
• Trajectory of Probabilities, Probability on Trajectories, and the Stochastic-Quantum Correspondence
• Approximate Decoherence, Recoherence and Records in Isolated Quantum Systems
• Higher-Order Quantum Operations
• Quantum Linear Systems Theory

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