Asymptotic Scaling of Precision Limits in Continuous Gaussian Quantum Metrology

[2601.13554] Asymptotic Scaling of Precision Limits in Continuous Gaussian Quantum Metrology Skip to main content Search Submit Donate Log in Quantum Physics arXiv:2601.13554 (quant-ph) [Submitted on 20 Jan 2026 ( v1 ), last revised 27 Aug 2026 (this version, v2)] Title: Asymptotic Scaling of Precision Limits in Continuous Gaussian Quantum Metrology Authors: Kazuki Yokomizo , Aashish A. Clerk , Yuto Ashida View PDF HTML (experimental) Abstract: Continuous quantum metrology holds promise for realizing high-precision sensing by harnessing information progressively carried away by the radiation quanta emitted into the environment. Despite recent progress, a comprehensive understanding of the precision limits of continuous metrology with bosonic systems is currently lacking. We develop a general theoretical framework for quantum metrology with multimode free bosons under continuous Gaussian measurements. We derive analytical expressions for the asymptotic growth rates of the global quantum Fisher information (QFI) and the environmental QFI, which quantify the total information encoded in the joint system-environment state and the information accessible from the emitted radiation, respectively. We show that the asymptotic growth rates of the global and environmental QFIs coincide in a class of continuous sensing protocols with dissipative system-environment couplings, while they are in general qualitatively distinct when a system-environment coupling exhibits no damping. We further derive bounds on these quantities, showing that while a quadratic scaling with the number of modes is attainable, the precision scales at most linearly with time and a meaningful energy resource. To illustrate our findings, we analyze several concrete setups, including coupled cavity arrays and trapped particle arrays. While a local setup yields a linear scaling with resources, a globally coupled setup can achieve a quadratic scaling in terms of the mode number. Furthermore, we demonstrate that a nonreciprocal setup can leverage the non-Hermitian skin effect to realize an exponentially enhanced global QFI. Notably, however, this enhancement cannot be reflected in the environmental QFI, highlighting a fundamental distinction between the information stored within the joint state and the information radiated into the environment. ... Comments: 32 pages, 10 figures Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2601.13554 [quant-ph] (or arXiv:2601.13554v2 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2601.13554 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Kazuki Yokomizo [ view email ] [v1] Tue, 20 Jan 2026 03:26:40 UTC (1,569 KB) [v2] Thu, 27 Aug 2026 09:32:00 UTC (1,775 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: quant-ph < prev | next > new | recent | 2026-01 References & Citations INSPIRE HEP SciX Google Scholar Semantic Scholar export BibTeX citation 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? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from (opens in new tab) (opens in new tab) (opens in new tab)

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