Quantum Fisher Information With General Quantum Coherence in multi-dimensional quantum systems

Quantum Physics arXiv:2510.25457 (quant-ph) [Submitted on 29 Oct 2025] Title:Quantum Fisher Information With General Quantum Coherence in multi-dimensional quantum systems Authors:Jun-Long Zhao, Li Yu, Ming Yang, Chui-Ping Yang View a PDF of the paper titled Quantum Fisher Information With General Quantum Coherence in multi-dimensional quantum systems, by Jun-Long Zhao and 3 other authors View PDF HTML (experimental) Abstract:Quantum metrology is a science about quantum measurements and it plays a key role in precision of quantum parameter estimation. Meanwhile, quantum coherence is an important quantum feature and quantum Fisher information (QFI) is an important indicator for precision of quantum parameter estimation. In this paper, we explore the relationship between QFI and quantum coherence in multi-dimensional quantum systems. We introduce a new concept referred to as General Quantum Coherence (GQC), which characterizes the quantum coherence and the eigenenergies of the Hamiltonian in the interaction processes. GQC captures quantum nature of high-dimensional quantum states and addresses shortcomings in coherence measurement. Additionally, we observe a stringent square relationship between GQC and QFI. This finding provides a crucial guideline for improving the precision of parameter estimation. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2510.25457 [quant-ph] (or arXiv:2510.25457v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2510.25457 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Jun-Long Zhao [view email] [v1] Wed, 29 Oct 2025 12:26:23 UTC (1,821 KB) Full-text links: Access Paper: View a PDF of the paper titled Quantum Fisher Information With General Quantum Coherence in multi-dimensional quantum systems, by Jun-Long Zhao and 3 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-10 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?)