Fault-Tolerant Heisenberg-Limited Quantum Sensing

Quantum Physics arXiv:2608.00171 (quant-ph) [Submitted on 31 Jul 2026] Title:Fault-Tolerant Heisenberg-Limited Quantum Sensing Authors:Lorcan O. Conlon, Yu-Xin Wang, Erfan Abbasgholinejad, Victor V. Albert, Michael J. Gullans, Alexey V. Gorshkov View a PDF of the paper titled Fault-Tolerant Heisenberg-Limited Quantum Sensing, by Lorcan O. Conlon and 5 other authors View PDF Abstract:Quantum sensors hold great promise for achieving better sensitivity in the measurement of physical quantities compared to their classical counterparts. However, the conditions under which quantum advantage in sensing can be achieved are rather restrictive, and most quantum enhancements in sensing are lost in the presence of noise, errors, or a poorly calibrated system. To overcome these limitations, we are motivated to import ideas from fault-tolerant quantum computing to quantum sensing. Specifically, we consider a qubit noise model where the probability of phase-flip errors is exponentially smaller (in qubit number) compared to the probability of bit-flip errors that occur with probability $p$. For this noise structure, we demonstrate that, given a total sensing time $T$, Heisenberg scaling can be attained for times up to $T\propto 1/p^{(N+1)/2}$ for a $N$-qubit repetition code, in contrast with $T\propto 1/p$ without using a fault-tolerant sensing protocol. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2608.00171 [quant-ph] (or arXiv:2608.00171v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2608.00171 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Lorcan Conlon [view email] [v1] Fri, 31 Jul 2026 18:00:05 UTC (9,170 KB) Full-text links: Access Paper: View a PDF of the paper titled Fault-Tolerant Heisenberg-Limited Quantum Sensing, by Lorcan O. Conlon and 5 other authorsView PDFTeX Source view license Current browse context: quant-ph new | recent | 2026-08 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?)