Quantum thermodynamics with coherence: Covariant Gibbs-preserving operation is characterized by the free energy

[2406.06234] Quantum thermodynamics with coherence: Covariant Gibbs-preserving operation is characterized by the free energy Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Quantum Physics arXiv:2406.06234 (quant-ph) [Submitted on 10 Jun 2024 ( v1 ), last revised 10 Apr 2026 (this version, v2)] Title: Quantum thermodynamics with coherence: Covariant Gibbs-preserving operation is characterized by the free energy Authors: Naoto Shiraishi View a PDF of the paper titled Quantum thermodynamics with coherence: Covariant Gibbs-preserving operation is characterized by the free energy, by Naoto Shiraishi View PDF HTML (experimental) 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. Comments: 6 pages + 16 pages, 3 figures Subjects: Quantum Physics (quant-ph) ; Statistical Mechanics (cond-mat.stat-mech) Cite as: arXiv:2406.06234 [quant-ph] (or arXiv:2406.06234v2 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2406.06234 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Phys. Rev. Lett. 134, 160402 (2025) Related DOI : https://doi.org/10.1103/PhysRevLett.134.160402 Focus to learn more DOI(s) linking to related resources Submission history From: Naoto Shiraishi [ view email ] [v1] Mon, 10 Jun 2024 13:06:09 UTC (356 KB) [v2] Fri, 10 Apr 2026 13:03:53 UTC (1,042 KB) Full-text links: Access Paper: View a PDF of the paper titled Quantum thermodynamics with coherence: Covariant Gibbs-preserving operation is characterized by the free energy, by Naoto Shiraishi View PDF HTML (experimental) TeX Source view license Current browse context: quant-ph < prev | next > new | recent | 2024-06 Change to browse by: cond-mat cond-mat.stat-mech References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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