Entropy Production from Maximum Entropy Principle: a Unifying Approach

Abstract

Entropy production is the crucial quantity characterizing irreversible phenomena and the second law of thermodynamics. Yet, a ubiquitous definition eludes consensus. Given that entropy production arises from incomplete access to information, in this Letter we use Jaynes' maximum entropy principle to establish a framework that brings together prominent and apparently conflicting definitions. More generally our definition of entropy production addresses any tomographically incomplete quantum measurement and/or the action of a quantum channel on a system.

References in corpus (41)

• A nonequilibrium equality for free energy differences
• Quantifying Coherence
• Quantum Coherence as a Resource
• Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems
• Colloquium. Quantum Fluctuation Relations: Foundations and Applications
• Thermodynamic uncertainty relation for biomolecular processes
• Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
• The second laws of quantum thermodynamics
• From Classical to Quantum Shannon Theory
• Entropy production as correlation between system and reservoir
• Irreversible entropy production, from quantum to classical
• Towards fully quantum second laws of thermodynamics: limitations on the evolution of quantum coherences
• The physics of forgetting: Landauer's erasure principle and information theory
• The role of quantum measurement in stochastic thermodynamics
• Extracting work from quantum measurement in Maxwell demon engines
• Microscopic diagonal entropy and its connection to basic thermodynamic relations
• The role of quantum coherence in non-equilibrium entropy production
• Emergent thermodynamics in a quenched quantum many-body system
• Thermodynamics of Micro- and Nano-Systems Driven by Periodic Temperature Variations
• The role of coherence in the non-equilibrium thermodynamics of quantum systems
• First and Second Law of Quantum Thermodynamics: A Consistent Derivation Based on a Microscopic Definition of Entropy
• Work fluctuations in slow processes: quantum signatures and optimal control
• Canonical thermalization
• Quantum work statistics close to equilibrium
• Quantum coarse-grained entropy and thermodynamics
• Total correlations of the diagonal ensemble herald the many-body localization transition
• Work and Quantum Phase Transitions: Is there Quantum Latency?
• Quantum jumps and entropy production
• Work Output and Efficiency at Maximum Power of Linear Irreversible Heat Engines Operating with a Finite-Sized Heat Source
• Landauer's principle at zero temperature
• Clausius Inequality for Finite Baths Reveals Universal Efficiency Improvements
• Extending the laws of thermodynamics for arbitrary autonomous quantum systems
• Quantum coherence and criticality in irreversible work
• Emerging dynamics arising from coarse-grained quantum systems
• Observational entropy, coarse quantum states, and Petz recovery: information-theoretic properties and bounds
• Contributions from populations and coherences in non-equilibrium entropy production
• Macro-to-micro quantum mapping and the emergence of nonlinearity
• Spin-entanglement wave in a coarse-grained optical lattice
• Entropy production dynamics in quench protocols of a driven-dissipative critical system
• Ensemble dependence of information-theoretic contributions to the entropy production
• Quantum quench thermodynamics at high temperatures