Enhancing Quantum Metrology with High-order Fisher Information and Experiments
Summarize this article with:
Quantum Physics arXiv:2606.27633 (quant-ph) [Submitted on 26 Jun 2026] Title:Enhancing Quantum Metrology with High-order Fisher Information and Experiments Authors:Xin-Zhu Liu, Jun-Li Jiang, Yan-Han Yang, Li-Ming Zhao, Xue Yang, Shao-Ming Fei, Ming-Xing Luo View a PDF of the paper titled Enhancing Quantum Metrology with High-order Fisher Information and Experiments, by Xin-Zhu Liu and 6 other authors View PDF HTML (experimental) Abstract:Fisher information plays a central role in statistics and quantum metrology, providing the basis for the celebrated Cramér-Rao bound. In this work, we introduce a new information measure based on higher-order Fisher information and show that it naturally leads to a generalized uncertainty relation for parameter estimation, which can be regarded as an extension of the Cramér-Rao bound. As an application, we analyze the case of quantum phase estimation with a single qubit and compare our theoretical bounds with the well-known established hierarchical bounds. Finally, we experimentally validate the proposed framework using a photonic platform. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2606.27633 [quant-ph] (or arXiv:2606.27633v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2606.27633 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Mingxing Luo [view email] [v1] Fri, 26 Jun 2026 01:12:32 UTC (4,651 KB) Full-text links: Access Paper: View a PDF of the paper titled Enhancing Quantum Metrology with High-order Fisher Information and Experiments, by Xin-Zhu Liu and 6 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-06 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?) 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?)