Quantum-imaginarity-based quantum speed limit

Quantum Physics arXiv:2511.05957 (quant-ph) [Submitted on 8 Nov 2025] Title:Quantum-imaginarity-based quantum speed limit Authors:Dong-Ping Xuan, Zhong-Xi Shen, Wen Zhou, Shao-Ming Fei, Zhi-Xi Wang View a PDF of the paper titled Quantum-imaginarity-based quantum speed limit, by Dong-Ping Xuan and 4 other authors View PDF HTML (experimental) Abstract:The quantum speed limit sets a fundamental restriction on the evolution time of quantum systems. We explore the relationship between quantum imaginarity and the quantum speed limit by utilizing measures such as relative entropy, trace distance, and geometric imaginarity. These speed limits define the fundamental constraints on the minimum time necessary for quantum systems to evolve under various dynamical processes. As applications the dephasing dynamics and dissipative dynamics are analyzed in detail. The quantum speed limit in stochastic-approximate transformations is also investigated. Our quantum speed limits provide lower bounds on how fast a physical system evolves to attain or lose certain imaginarity, with potential applications in efficient quantum computation designs, quantum control and quantum sensing. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2511.05957 [quant-ph] (or arXiv:2511.05957v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2511.05957 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Journal reference: Phys. Rev. A 112, 052202(2025) Related DOI: https://doi.org/10.1103/s7kr-8rrn Focus to learn more DOI(s) linking to related resources Submission history From: Zhi-Xi Wang [view email] [v1] Sat, 8 Nov 2025 10:17:31 UTC (324 KB) Full-text links: Access Paper: View a PDF of the paper titled Quantum-imaginarity-based quantum speed limit, by Dong-Ping Xuan and 4 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-11 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?)