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Volume-law protection of metrological advantage

arXiv Quantum Physics
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Polish and international researchers demonstrated that quantum scrambling can protect metrological precision from particle loss, a persistent challenge in quantum sensing. Their February 2026 study shows entanglement’s metrological advantage—often fragile—can be preserved by dispersing parameter information into many-body correlations. The team derived exact formulas for quantum Fisher information (QFI) in Haar-random scrambling systems, revealing a sharp threshold: subsystems larger than half the total particles retain full QFI, while smaller ones lose nearly all information. This threshold ties to a transition from area-law to volume-law entanglement. Scrambling’s role in boosting Schmidt rank—an entanglement measure—explains the resilience. The study links this to a fundamental shift in how quantum information is encoded, making it robust against decoherence even when half the system is lost. Two practical implementations were proposed: a brickwork quantum circuit and chaotic XX-chain dynamics. Both demonstrate protection for one-axis-twisted probes, a common quantum sensing technique, against significant particle loss. The findings suggest a pathway to fault-tolerant quantum metrology, where scrambling could enable high-precision measurements in noisy environments, even with substantial system degradation. This challenges prior assumptions about entanglement’s fragility in real-world applications.
Volume-law protection of metrological advantage

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Quantum Physics arXiv:2602.09086 (quant-ph) [Submitted on 9 Feb 2026] Title:Volume-law protection of metrological advantage Authors:Piotr Wysocki, Jan Chwedeńczuk, Marcin Płodzień View a PDF of the paper titled Volume-law protection of metrological advantage, by Piotr Wysocki and 1 other authors View PDF HTML (experimental) Abstract:Although entanglement can boost metrological precision beyond the standard quantum limit, the advantage often disappears with particle loss. We demonstrate that scrambling safeguards precision by dispersing information about the encoded parameter into many-body correlations. For Haar-random scrambling unitaries, we derive exact formulas for the average quantum Fisher information (QFI) of the reduced state after tracing out lost particles. The result exhibits a threshold; any remaining subsystem larger than $N/2$ recovers the full QFI, while smaller subsystems contain negligible information. We link this threshold to the scrambling-induced transition from area-law to volume-law entanglement and the associated growth of the Schmidt rank. We outline two realizations -- a brickwork circuit and chaotic XX-chain evolution -- and demonstrate the protection of one-axis-twisted probes against the loss of up to half of the particles. Comments: Subjects: Quantum Physics (quant-ph); Quantum Gases (cond-mat.quant-gas) Cite as: arXiv:2602.09086 [quant-ph] (or arXiv:2602.09086v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2602.09086 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Jan Chwedenczuk [view email] [v1] Mon, 9 Feb 2026 19:00:00 UTC (289 KB) Full-text links: Access Paper: View a PDF of the paper titled Volume-law protection of metrological advantage, by Piotr Wysocki and 1 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-02 Change to browse by: cond-mat cond-mat.quant-gas 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?)

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Source: arXiv Quantum Physics