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 (21)
- Quantum coherence, time-translation symmetry and thermodynamics
- The resource theory of quantum reference frames: manipulations and monotones
- Gibbs-Preserving Maps outperform Thermal Operations in the quantum regime
- Catalytic Conversion Probabilities for Bipartite Pure States
- Necessary and Sufficient Conditions for the Trumping Relation
- Catalytic quantum teleportation and beyond
- Quantum thermodynamics of correlated-catalytic state conversion at small-scale
- Catalysis of entanglement and other quantum resources
- Multiple-copy entanglement transformation and entanglement catalysis
- Correlation in Catalysts Enables Arbitrary Manipulation of Quantum Coherence
- Fundamental Limits on Correlated Catalytic State Transformations
- Asymptotic state transformations of continuous variable resources
- Correlations in typicality and an affirmative solution to the exact catalytic entropy conjecture
- Arbitrary Amplification of Quantum Coherence in Asymptotic and Catalytic Transformation
- Catalytic Transformations in Coherence Theory
- 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