Quantum thermodynamics with coherence: Covariant Gibbs-preserving operation is characterized by the free energy
arXiv:2406.06234 · doi:10.1103/PhysRevLett.134.160402
Abstract
The resource theory with covariant Gibbs-preserving operations, also called enhanced thermal operations, is investigated. We prove that with the help of a correlated catalyst, the state convertibility for any coherent state is fully characterized by the free energy defined with the quantum relative entropy. We can extend this result to general resource theories in the form that imposing the covariant condition to a general resource theory does not change the state convertibility as long as the initial state is coherent and distillable. This means that the additional constraint from the law of energy conservation is irrelevant in the correlated-catalytic framework.
6 pages + 16 pages, 3 figures
References in corpus (48)
- Fundamental limitations for quantum and nano thermodynamics
- The second laws of quantum thermodynamics
- The Resource Theory of Quantum States Out of Thermal Equilibrium
- The Physics and Mathematics of the Second Law of Thermodynamics
- Catalytic Coherence
- Quantum coherence, time-translation symmetry and thermodynamics
- Quantum majorization and a complete set of entropic conditions for quantum thermodynamics
- The resource theory of quantum reference frames: manipulations and monotones
- Work extraction and thermodynamics for individual quantum systems
- The resource theory of informational nonequilibrium in thermodynamics
- How to quantify coherence: Distinguishing speakable and unspeakable notions
- The extraction of work from quantum coherence
- Low-temperature thermodynamics with quantum coherence
- Towards fully quantum second laws of thermodynamics: limitations on the evolution of quantum coherences
- The theory of manipulations of pure state asymmetry: basic tools and equivalence classes of states under symmetric operations
- An introductory review of the resource theory approach to thermodynamics
- Modes of asymmetry: the application of harmonic analysis to symmetric quantum dynamics and quantum reference frames
- 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
- Correlating thermal machines and the second law at the nanoscale
- Stochastic independence as a resource in small-scale thermodynamics
- Catalytic quantum teleportation and beyond
- Quantifying resource in catalytic resource theory
- Quantum thermodynamics of correlated-catalytic state conversion at small-scale
- Coherence and asymmetry cannot be broadcast
- A no-broadcasting theorem for quantum asymmetry and coherence and a trade-off relation for approximate broadcasting
- Thermodynamic Capacity of Quantum Processes
- Catalysis of entanglement and other quantum resources
- Fundamental work cost of quantum processes
- Multiple-copy entanglement transformation and entanglement catalysis
- Correlation in Catalysts Enables Arbitrary Manipulation of Quantum Coherence
- Catalytic majorization and norms
- Fundamental Limits on Correlated Catalytic State Transformations
- The maximum efficiency of nano heat engines depends on more than temperature
- Asymptotic state transformations of continuous variable resources
- Quantum thermodynamics with missing reference frames: Decompositions of free energy into non-increasing components
- Correlations in typicality and an affirmative solution to the exact catalytic entropy conjecture
- Macroscopic Thermodynamic Reversibility in Quantum Many-Body Systems
- Arbitrary Amplification of Quantum Coherence in Asymptotic and Catalytic Transformation
- Catalytic Transformations in Coherence Theory
- Two constructive proofs on d-majorization and thermo-majorization
- Exploring the gap between thermal operations and enhanced thermal operations
- Coherence manipulation in asymmetry and thermodynamics
- Catalysis always degrades external quantum correlations
- Catalytic and asymptotic equivalence for quantum entanglement
- A hierarchy of thermal processes collapses under catalysis
- Black Box Work Extraction and Composite Hypothesis Testing