Quantum Speed Limits Based on the Sharma-Mittal Entropy
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Quantum Physics arXiv:2512.24070 (quant-ph) [Submitted on 30 Dec 2025] Title:Quantum Speed Limits Based on the Sharma-Mittal Entropy Authors:Dong-Ping Xuan, Zhi-Xi Wang, Shao-Ming Fei View a PDF of the paper titled Quantum Speed Limits Based on the Sharma-Mittal Entropy, by Dong-Ping Xuan and 2 other authors View PDF HTML (experimental) Abstract:Quantum speed limits (QSLs) establish intrinsic bounds on the minimum time required for the evolution of quantum systems. We present a class of QSLs formulated in terms of the two-parameter Sharma-Mittal entropy (SME), applicable to finite-dimensional systems evolving under general nonunitary dynamics. In the single-qubit case, the QSLs for both quantum channels and non-Hermitian dynamics are analyzed in detail. For many-body systems, we explore the role of SME-based bounds in characterizing the reduced dynamics and apply the results to the XXZ spin chain model. These entropy-based QSLs characterize fundamental limits on quantum evolution speeds and may be employed in contexts including entropic uncertainty relations, quantum metrology, coherent control and quantum sensing. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2512.24070 [quant-ph] (or arXiv:2512.24070v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2512.24070 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Journal reference: Annalen der Physik, 2026; 538:e00383 Related DOI: https://doi.org/10.1002/andp.202500383 Focus to learn more DOI(s) linking to related resources Submission history From: Zhi-Xi Wang [view email] [v1] Tue, 30 Dec 2025 08:27:22 UTC (14,611 KB) Full-text links: Access Paper: View a PDF of the paper titled Quantum Speed Limits Based on the Sharma-Mittal Entropy, by Dong-Ping Xuan and 2 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-12 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?)