Thermodynamics of Quantum Information Flows

Abstract

We report two results complementing the second law of thermodynamics for Markovian open quantum systems coupled to multiple reservoirs with different temperatures and chemical potentials. First, we derive a nonequilibrium free energy inequality providing an upper bound for a maximum power output, which for systems with inhomogeneous temperature is not equivalent to the Clausius inequality. Secondly, we derive local Clausius and free energy inequalities for subsystems of a composite system. These inequalities differ from the total system one by the presence of an information-related contribution and build the ground for thermodynamics of quantum information processing. Our theory is used to study an autonomous Maxwell demon.

arXiv comment6 pages, 2 figures, with the Supplementary Material

References in corpus (48)

• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Dynamical Ensembles in Nonequilibrium Statistical Mechanics
• Entropy production along a stochastic trajectory and an integral fluctuation theorem
• A Gallavotti-Cohen Type Symmetry in the Large Deviation Functional for Stochastic Dynamics
• The role of quantum information in thermodynamics --- a topical review
• Fundamental aspects of steady-state conversion of heat to work at the nanoscale
• The Physics of Maxwell's demon and information
• Generalized Jarzynski Equality under Nonequilibrium Feedback Control
• Entropy production as correlation between system and reservoir
• Three detailed fluctuation theorems
• Second law and Landauer principle far from equilibrium
• On-chip Maxwell's demon as an information-powered refrigerator
• Work and information processing in a solvable model of Maxwell's demon
• Experimental study of mutual information in a Maxwell Demon
• Quantum and Information Thermodynamics: A Unifying Framework based on Repeated Interactions
• Thermodynamics of a physical model implementing a Maxwell demon
• Observing a quantum Maxwell demon at work
• Quantum Szilard Engine
• Theory of Transport through Quantum-Dot Spin Valves in the Weak-Coupling Regime
• Thermodynamics with continuous information flow
• Natural two-qubit gate for quantum computation using the XY interaction
• A quantum-mechanical Maxwell's demon
• Nonequilibrium Detailed Fluctuation Theorem for Repeated Discrete Feedback
• Stochastic thermodynamics of bipartite systems: transfer entropy inequalities and a Maxwell's demon interpretation
• Experimental rectification of entropy production by a Maxwell's Demon in a quantum system
• Second-law-like inequalities with information and their interpretations
• Unifying Three Perspectives on Information Processing in Stochastic Thermodynamics
• Heat engine driven by purely quantum information
• Thermodynamics of genuine non-equilibrium states under feedback control
• Microscopic analysis of Clausius-Duhem processes
• Non-additive dissipation in open quantum networks out of equilibrium
• Quantum Jarzynski-Sagawa-Ueda relations
• Role of Mutual Information in Entropy Production under Information Exchanges
• Probing level renormalization by sequential transport through double quantum dots
• A phenomenological position and energy resolving Lindblad approach to quantum kinetics
• Probing the power of an electronic Maxwell Demon
• Multipartite information flow for multiple Maxwell demons
• Transport Statistics of Interacting Double Dot Systems: Coherent and Non-Markovian Effects
• Quantum energy exchange and refrigeration: A full-counting statistics approach
• How an autonomous quantum Maxwell demon can harness correlated information
• The Second Laws for an Information driven Current through a Spin Valve
• Quantum interference between independent reservoirs in open quantum systems
• Quantum Thermodynamics with Degenerate Eigenstate Coherences
• Violations of the second law of thermodynamics by a non completely positive dynamics
• Interplay of different environments in open quantum systems: Breakdown of the additive approximation
• Autonomous quantum Maxwell's demon based on two exchange-coupled quantum dots
• Tunneling-induced renormalization in interacting quantum dots
• Work relations with measurement and feedback control on nonuniform temperature systems

Cited by in corpus (54)

• Thermodynamics of weakly coherent collisional models
• Unified Gorini-Kossakowski-Lindblad-Sudarshan quantum master equation beyond the secular approximation
• Open Quantum System Dynamics: recovering positivity of the Redfield equation via Partial-Secular Approximation
• A thermodynamically consistent Markovian master equation beyond the secular approximation
• Stochastic Thermodynamics of Non-Linear Electronic Circuits: A Realistic Framework for Computing around kT
• Thermodynamic consistency of quantum master equations
• Relaxation dynamics in a Hubbard dimer coupled to fermionic baths: phenomenological description and its microscopic foundation
• Energy and information flows in autonomous systems
• Hamiltonian of mean force in the weak-coupling and high-temperature approximations and refined quantum master equations
• Energetic footprints of irreversibility in the quantum regime
• Stochastic thermodynamics of relativistic Brownian motion
• Characterizing autonomous Maxwell demons
• Quantum Fluctuation Theorem under Continuous Measurement and Feedback
• Geometric-Arithmetic Master Equation in Large and Fast Open Quantum Systems
• Higher-order corrections to the Redfield equation with respect to the system-bath coupling based on the hierarchical equations of motion
• Thermal rectification and negative differential thermal conductivity based on a parallel-coupled double quantum-dot
• Quantum Maxwell's Demon Assisted by Non-Markovian Effects
• Effective thermodynamics of two interacting underdamped Brownian particles
• Entropy and information flow in quantum systems strongly coupled to baths
• Quantum Rayleigh problem and thermocoherent Onsager relations
• Autonomous demon exploiting heat and information at the trajectory level
• Thermodynamic analysis of quantum error correcting engines
• Invalidation of the Bloch-Redfield Equation in Sub-Ohmic Regime via a Practical Time-Convolutionless Fourth-Order Master Equation
• Interference and parity blockade in transport through a Majorana box
• Coarse-graining master equation for periodically driven systems
• Floquet analysis of a superradiant many-qutrit refrigerator
• Thermodynamics of the Coarse-Graining Master Equation
• Experimentally probing entropy reduction via iterative quantum information transfer
• Metastability and quantum coherence-assisted sensing in interacting parallel quantum dots
• Quantum Consensus Dynamics by Entangling Maxwell Demon
• Inverse currents in Coulomb-coupled quantum dots
• Experimental Verification of Demon-Involved Fluctuation Theorems
• All-thermal reversal of heat currents using qutrits
• A Compendious Review of Majorization-Based Resource Theories: Quantum Information and Quantum Thermodynamics
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Single-qubit probes for temperature estimation in the presence of collective baths
• Efficiency estimation for an equilibrium version of Maxwell refrigerator
• Nonequilibrium free energy and information flow of a double quantum-dot system with Coulomb coupling
• Control of open quantum systems: Manipulation of a qubit coupled to a thermal bath by an external driving field
• The hidden negative differential thermal conductance
• Integral Fluctuation Theorem for Microcanonical and Pure States
• Introduction to Quantum Thermodynamics (Lecture Notes)
• Numerical implementation of the partial secular approximation and unified master equation in structured open quantum systems
• Generalized Derangetropy Functionals for Modeling Cyclical Information Flow
• Photovoltaic properties evaluated by its thermodynamic evolution in a double quantum dot photocell
• Synchronized coherent charge oscillations in coupled double quantum dots
• Thermodynamic bound on quantum state discrimination
• Nonequilibrium thermal transport and photon squeezing in a quadratic qubit-resonator system
• Derangetropy in Probability Distributions and Information Dynamics
• Feedback-type thermoelectric effect in correlated solids
• Symmetry and Topology of Successive Quantum Feedback Control
• Dual effects of Lamb Shift in Quantum Thermodynamical Systems
• Information-thermodynamic bounds on precision in interacting quantum systems
• Precision of an autonomous demon exploiting nonthermal resources and information