Observational entropy of quantum correlations and entanglement

arXiv:2510.10058 · quant-ph · Submitted 2025-10-11 · Read on arXiv

quant-ph

Submitted: 2025-10-11

Updated: 2025-10-11

Comments: 26 pages, 3 figures

Journal ref: IEEE Transactions on Information Theory, vol. 72, no. 9, pp. 6802-6824, Sept. 2026

DOI: 10.1109/TIT.2026.3700031

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

Terminology

• Entanglement — 5× in this paper · explained in 4 episodes
• Entanglement Entropy — 1× in this paper · explained in 5 episodes

Sources

• Quantum coarse-grained entropy and thermodynamics
• Quantum coarse-grained entropy and thermalization in closed systems
• Classical dynamical coarse-grained entropy and comparison with the quantum version
• A brief introduction to observational entropy
• Proof of the Ergodic Theorem and the H-Theorem in Quantum Mechanics
• First and Second Law of Quantum Thermodynamics: A Consistent Derivation Based on a Microscopic Definition of Entropy
• Quantum systems correlated with a finite bath: nonequilibrium dynamics and thermodynamics
• Quantifying Information Extraction using Generalized Quantum Measurements
• Non-conjugate quantum subsystems
• Observational entropic study of Anderson localization
• Witnessing quantum chaos using observational entropy
• Work extraction from unknown quantum sources
• Generalized $\alpha$-Observational Entropy
• Continuity bounds on observational entropy and measured relative entropies
• Observational entropy with general quantum priors
• Classicality, Markovianity and local detailed balance from pure state dynamics
• Comparative Microscopic Study of Entropies and their Production
• On the generic increase of observational entropy in isolated systems
• Measuring energy by measuring any other observable
• Sample Complexity of Black Box Work Extraction

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