A First-Principles Thermodynamic Uncertainty Relation for Shortcuts to Adiabaticity
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Quantum Physics arXiv:2603.11236 (quant-ph) [Submitted on 11 Mar 2026] Title:A First-Principles Thermodynamic Uncertainty Relation for Shortcuts to Adiabaticity Authors:Guillermo Perna, Federico Centrone, Esteban Calzetta View a PDF of the paper titled A First-Principles Thermodynamic Uncertainty Relation for Shortcuts to Adiabaticity, by Guillermo Perna and 1 other authors View PDF HTML (experimental) Abstract:We study the fundamental limitations of implementing time-dependent Hamiltonian protocols when ''time'' is provided by a quantum clock rather than an external classical parameter. For a parametric harmonic oscillator controlled through a shortcut-to-adiabaticity (STA) schedule and coupled to a minimal clock degree of freedom, tracing out the clock yields an effective reduced dynamics that is a mixture of unitary Gaussian trajectories. Within a noise-dominated regime, we compute the energetic deviation from the target STA outcome and its fluctuations, together with the fidelity to the target evolution and the purity loss of the reduced state, for vacuum and coherent initial states. Combining these observables produces a thermodynamic-uncertainty-type tradeoff that links achievable precision to an irreducible loss of purity set by the clock precision and the protocol sensitivity. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2603.11236 [quant-ph] (or arXiv:2603.11236v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2603.11236 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Guillermo Ezequiel Perna MSc [view email] [v1] Wed, 11 Mar 2026 19:01:27 UTC (385 KB) Full-text links: Access Paper: View a PDF of the paper titled A First-Principles Thermodynamic Uncertainty Relation for Shortcuts to Adiabaticity, by Guillermo Perna and 1 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-03 References & Citations INSPIRE HEP NASA ADSGoogle 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?) Links to Code Toggle Papers with Code (What is Papers with Code?) 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?)