An introductory review of the resource theory approach to thermodynamics

Abstract

I give a self-contained introduction to the resource theory approach to quantum thermodynamics. I will introduce in an elementary manner the technical machinery necessary to unpack and prove the core statements of the theory. The topics covered include the so-called `many second laws of thermodynamics', thermo-majorisation and symmetry constraints on the evolution of quantum coherence. Among the elementary applications, I explicitly work out the bounds on deterministic work extraction and formation, discuss the complete solution of the theory for a single qubit and present the irreversibility of coherence transfers. The aim is to facilitate the task of those researchers interested in engaging and contributing to this topic, presenting scope and motivation of its core assumptions and discussing the relation between the resource theory and complementary approaches.

36 pages, one column, 10 figures. New title, extended discussion of the main assumptions, updated references. To appear in Reports on Progress in Physics

References in corpus (22)

• Quantum Resource Theories
• Reference frames, superselection rules, and quantum information
• Description of quantum coherence in thermodynamic processes requires constraints beyond free energy
• Quantum coherence, time-translation symmetry and thermodynamics
• Extending Noether's theorem by quantifying the asymmetry of quantum states
• Measuring the quality of a quantum reference frame: the relative entropy of frameness
• Gibbs-Preserving Maps outperform Thermal Operations in the quantum regime
• Necessary and Sufficient Conditions for the Trumping Relation
• Catalytic Conversion Probabilities for Bipartite Pure States
• Coherence and asymmetry cannot be broadcast
• Heat-Bath Algorithmic Cooling with optimal thermalization strategies
• A no-broadcasting theorem for quantum asymmetry and coherence and a trade-off relation for approximate broadcasting
• Thermodynamic Capacity of Quantum Processes
• Correlations as a resource in quantum thermodynamics
• Smoothed generalized free energies for thermodynamics
• Coherent fluctuation relations: from the abstract to the concrete
• Avoiding irreversibility: engineering resonant conversions of quantum resources
• Collective operations can extremely reduce work fluctuations
• The reaction coordinate mapping in quantum thermodynamics
• Fluctuating work in coherent quantum systems: proposals and limitations
• Resource theory of quantum thermodynamics: Thermal operations and Second Laws
• Thermal Operations Involving a Single-mode Bosonic Bath

Cited by in corpus (137)

• Using dark states to charge and stabilise open quantum batteries
• Operational Resource Theory of Imaginarity
• Thermodynamic Unification of Optimal Transport: Thermodynamic Uncertainty Relation, Minimum Dissipation, and Thermodynamic Speed Limits
• First and Second Law of Quantum Thermodynamics: A Consistent Derivation Based on a Microscopic Definition of Entropy
• Resource theory of imaginarity: Quantification and state conversion
• Landauer vs. Nernst: What is the True Cost of Cooling a Quantum System?
• Ergotropy from coherences in an open quantum system
• Quantum Engines and Refrigerators
• Quantum work statistics close to equilibrium
• Quantum thermodynamics of correlated-catalytic state conversion at small-scale
• Dynamical Entanglement
• Unravelling the role of coherence in the first law of quantum thermodynamics
• Noncommuting conserved charges in quantum thermodynamics and beyond
• Correlation in Catalysts Enables Arbitrary Manipulation of Quantum Coherence
• Entropy and reversible catalysis
• Real quantum operations and state transformations
• Gaussian Thermal Operations and the Limits of Algorithmic Cooling
• Non-Markovian thermal operations boosting the performance of quantum heat engines
• Operational definition of the temperature of a quantum state
• Vacuum enhanced charging of a quantum battery
• Quantum advantage in simulating stochastic processes
• Roadmap on Quantum Thermodynamics
• Open system dynamics from thermodynamic compatibility
• Resource Preservability
• Capacity of non-Markovianity to boost the efficiency of molecular switches
• All states are universal catalysts in quantum thermodynamics
• Enhanced steady-state coherence via repeated system-bath interactions
• Genuine quantum advantage in non-linear bosonic quantum batteries
• The Passivity Deformation Approach for the Thermodynamics of Isolated Quantum Setups
• Imaginarity of Gaussian states
• Quantitative wave-particle duality relations from the density matrix properties
• Continuous thermomajorization and a complete set of laws for Markovian thermal processes
• Is there a finite complete set of monotones in any quantum resource theory?
• Energy-Consumption Advantage of Quantum Computation
• Exponential improvement for quantum cooling through finite-memory effects
• Unification of the first law of quantum thermodynamics
• Resource theory of causal connection
• Quantum Thermodynamics and Quantum Coherence Engines
• Constraints on magic state protocols from the statistical mechanics of Wigner negativity
• Communication, Dynamical Resource Theory, and Thermodynamics
• Amplifying asymmetry with correlated catalysts
• The $d$-Majorization Polytope
• Key Issues Review: Useful autonomous quantum machines
• Heat as a witness of quantum properties
• Nonequilibrium thermodynamics of quantum coherence beyond linear response
• Non-Markovian dynamics under time-translation symmetry
• Quantifying quantum coherence in a metal-silicate framework
• Thermal Efficiency of Quantum Memory Compression
• Fluctuation-dissipation relations for thermodynamic distillation processes
• The Science of $\Theta {\Delta }^{cs}$
• Characterizing symmetry-protected thermal equilibrium by work extraction
• Second law of thermodynamics for batteries with vacuum state
• Experimental Control of the Degree of Non-Classicality via Quantum Coherence
• Exploring the gap between thermal operations and enhanced thermal operations
• The Dynamical Resource Theory of Informational Non-Equilibrium
• Coherence manipulation in asymmetry and thermodynamics
• Which Bath-Hamiltonians Matter for Thermal Operations?
• Quantum Foundations of Classical Reversible Computing
• Impossibility of Cloning of Quantum Coherence
• Maxwell's two-demon engine under pure dephasing noise
• Quantum scattering as a work source
• Exploring the Limits of Controlled Markovian Quantum Dynamics with Thermal Resources
• Dicke superradiant enhancement of the heat current in circuit QED
• Pseudomode treatment of strong-coupling quantum thermodynamics
• Thermodynamically free quantum measurements
• An exactly solvable relativistic quantum Otto engine
• Thermodynamic Approach to Quantifying Incompatible Instruments
• Monitored non-adiabatic and coherent-controlled quantum unital Otto heat engines: First four cumulants
• Resource Marginal Problems
• A hierarchy of thermal processes collapses under catalysis
• Entanglement generation from athermality
• Contextuality in anomalous heat flow
• Role of Dilations in Reversing Physical Processes: Tabletop Reversibility and Generalized Thermal Operations
• Quantum processes as thermodynamic resources: the role of non-Markovianity
• Detecting heat leaks with trapped ion qubits
• Quantum unital Otto heat engines: using Kirkwood-Dirac quasi-probability for the engine's coherence to stay alive
• Catalytic transformations for thermal operations
• Beyond i.i.d. in the Resource Theory of Asymmetry: An Information-Spectrum Approach for Quantum Fisher Information
• Boosting Biomolecular Switch Efficiency With Quantum Coherence
• Gibbs-preserving operations requiring infinite amount of quantum coherence
• Two-point measurement energy statistics from particle scattering
• Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe
• Hierarchy of continuous-variable quantum resource theories
• A resource theoretical unification of Mpemba effects: classical and quantum
• Dynamical Landauer principle: Thermodynamic criteria of transmitting classical information
• Entanglement dynamics of a dc SQUID interacting with a single-mode radiation field
• A Compendious Review of Majorization-Based Resource Theories: Quantum Information and Quantum Thermodynamics
• Black Box Work Extraction and Composite Hypothesis Testing
• Quantum non-Markovianity, quantum coherence and extractable work in a general quantum process
• Optimal performance of a three stroke heat engine in the microscopic regime
• Quantum resource-theoretical analysis of the role of vibrational structure in photoisomerization
• Covariant influences for finite discrete dynamical systems
• Quantum-Dynamical Semigroups and the Church of the Larger Hilbert Space
• Quantum dichotomies and coherent thermodynamics beyond first-order asymptotics
• Aspects of quantum states asymmetry for the magnetic dipolar interaction dynamics
• Quantum Coding with Finite Thermodynamic Resources
• A thermodynamic approach to optimization in complex quantum systems
• Thermodynamic optimization of quantum algorithms: On-the-go erasure of qubit registers
• Quantum thermodynamics with coherence: Covariant Gibbs-preserving operation is characterized by the free energy
• The Thermomajorization Polytope and Its Degeneracies
• Choi-Defined Resource Theories
• Informational non-equilibrium concentration
• Catalytic transformations with finite-size environments: applications to cooling and thermometry
• Revising the quantum work fluctuation framework to encompass energy conservation
• Resource theories with completely passive states and passive states as free states
• Thermodynamic state convertibility is determined by qubit cooling and heating
• Resource theory of dephasing estimation in multiqubit systems
• Conditional quantum thermometry -- enhancing precision by measuring less
• Correlated dynamics as a resource in molecular switches
• Thermalization of finite complexity and its application to heat bath algorithmic cooling
• Single-shot entanglement manipulation of states and channels revisited
• Extending Resource Monotones using Kan Extensions
• General entropic constraints on CSS codes within magic distillation protocols
• Experimental Catalytic Amplification of Asymmetry
• Cooling and work extraction under memory-assisted Markovian thermal processes
• Majorization requires infinitely many second laws
• Probing Kirkwood-Dirac nonpositivity and its operational implications via moments
• Complete characterisation of state conversions by work extraction
• Quantum fluctuation theorem for initial near-equilibrium system
• Projection hypothesis in the setting for the quantum Jarzynski equality
• Gaussian work extraction from random Gaussian states is nearly impossible
• Classical Invasive Description of Informationally-Complete Quantum Processes
• On the energetic analysis of autonomous quantum systems
• Characterising transformations between quantum objects, 'completeness' of quantum properties, and transformations without a fixed causal order
• Strong symmetries in collision models and physical dilations of covariant quantum maps
• Detecting quantum resources in a semi-device independent framework
• A finite sufficient set of conditions for catalytic majorization
• Thermodynamic Constraints on Information Transmission in Quantum Ensembles
• Advantage of flexible catalysis for entanglement and quantum thermodynamics
• Universality and classification of elementary thermal operations
• Universal work extraction in quantum thermodynamics
• Quantum Effects in Ion Transport: A Thermodynamic Resource Theory Approach
• Locally controlled arrested thermalization
• Thermodynamic Constraints on the Emergence of Intersubjectivity in Quantum Systems
• Quantum thermodynamics under continuous monitoring: a general framework
• Thermal operations from informational equilibrium
• Work and heat exchanged during sudden quenches of strongly coupled quantum systems