Role of Mutual Information in Entropy Production under Information Exchanges

Abstract

We relate the information exchange between two stochastic systems to the nonequilibrium entropy production in the whole system. By deriving a general formula that decomposes the total entropy production into the thermodynamic and informational parts, we obtain nonequilibrium equalities such as the fluctuation theorem in the presence of information processing. Our results apply not only to situations under measurement and feedback control, but also to those under multiple information exchanges between two systems, giving the fundamental energy cost for information processing and elucidating the thermodynamic and informational roles of a memory in information processing. We clarify a dual relationship between measurement and feedback.

Submitted to New Journal of Physics for the Focus Issue on "Nonequilibrium Fluctuation Relations: From Classical to Quantum"

References in corpus (24)

• Dissipation: The phase-space perspective
• Second Law of Thermodynamics with Discrete Quantum Feedback Control
• The thermodynamic meaning of negative entropy
• Fluctuation Theorem for Arbitrary Open Quantum Systems
• Work and information processing in a solvable model of Maxwell's demon
• The thermodynamics of prediction
• Thermodynamics of a physical model implementing a Maxwell demon
• Quantum Szilard Engine
• Nonequilibrium Detailed Fluctuation Theorem for Repeated Discrete Feedback
• Information processing and the second law of thermodynamics: an inclusive, Hamiltonian approach
• Extracting work from a single heat bath through feedback
• Thermodynamics of feedback controlled systems
• Information Thermodynamics on Causal Networks
• Maxwell's Refrigerator: An Exactly Solvable Model
• Feedback control in a collective flashing ratchet
• Realization of a feedback controlled flashing ratchet
• Stochastic thermodynamics for "Maxwell demon" feedbacks
• Efficiency of a Brownian information machine
• Information and entropy in quantum Brownian motion: Thermodynamic entropy versus von Neumann entropy
• Information and flux in a feedback controlled Brownian ratchet
• Relations between Entropies Produced in Nondeterministic Thermodynamic Processes
• Open Problems on Information and Feedback Controlled Systems
• Dissipationless Information Erasure and Landauer's Principle
• Unified Jarzynski and Sagawa-Ueda relations for Maxwell's demon

Cited by in corpus (52)

• Experimental study of mutual information in a Maxwell Demon
• Thermodynamics with continuous information flow
• Thermodynamic costs of information processing in sensory adaption
• Fluctuation Theorem for Partially-masked Nonequilibrium Dynamics
• Second-law-like inequalities with information and their interpretations
• Thermodynamic and Logical Reversibilities Revisited
• Quantum fluctuation theorems for arbitrary environments: adiabatic and non-adiabatic entropy production
• Thermodynamic uncertainty relations including measurement and feedback
• Thermodynamics of Quantum Information Flows
• Stochastic thermodynamics with information reservoirs
• Multipartite information flow for multiple Maxwell demons
• Autonomous conversion of information to work in quantum dots
• Role of measurement-feedback separation in autonomous Maxwell's demons
• Thermodynamic limits to information harvesting by sensory systems
• Detailed Fluctuation Relation for Arbitrary Measurement and Feedback Schemes
• Experimental assessment of entropy production in a continuously measured mechanical resonator
• Energy and information flows in autonomous systems
• Quantum effects improve the energy efficiency of feedback control
• Information flow, Gating, and Energetics in dimeric molecular motors
• Informational steady-states and conditional entropy production in continuously monitored systems
• Thermodynamics of information exchange between two coupled quantum dots
• By-passing fluctuation theorems
• Enhancement of mobility in an interacting colloidal system under feedback control
• Energetic cost of feedback control
• The Bayesian Second Law of Thermodynamics
• Information Fluctuation Theorem for an Open Quantum Bipartite System
• Information thermodynamics for a multi-feedback process with time delay
• Universal validity of the second law of information thermodynamics
• Information Arbitrage in Bipartite Heat Engines
• Extracting work from the magnetic field coupled Brownian particles
• Informational steady-states and conditional entropy production in continuously monitored systems: the case of Gaussian systems
• The role of the total entropy production in dynamics of open quantum systems in detection of non-Markovianity
• A universal lower bound on the free energy cost of molecular measurements
• Information in feedback ratchets
• Nonequilibrium thermodynamics of uncertain stochastic processes
• Relations Between Work and Entropy Production for General Information-Driven, Finite-State Engines
• Thermodynamics of Encoding and Encoders
• Thermodynamics of memory erasure via a spin reservoir
• Mutual information change in feedback processes driven by measurement
• The influence of measurement error on Maxwell's demon
• Transfer Entropy and Flow of Information in Two-Skyrmion System
• Quantum Fluctuation Theorem for Arbitrary Measurement and Feedback Schemes
• Unravelling the Flow of Information in a Nonequilibrium Process in the Presence of Hydrodynamic Interactions
• Work as a Memory Record
• Entropic balance with feedback control: information equalities and tight inequalities
• Noninvasive and nonadiabatic quantum Maxwell demon
• Information based approach to stochastic control problems
• Information form of the second law of thermodynamics
• Global-Local Duality of Energetic Control Cost in Multipartite Quantum Correlated Systems
• Memory Uncertainty Relation and Harmonic Memory in Random Recurrent Networks
• New Fluctuation Theorem on Maxwell's Demon
• Thermodynamic Limits of Physical Intelligence