Quantum Chinese Remainder Clock

Quantum Physics arXiv:2608.07938 (quant-ph) [Submitted on 8 Aug 2026] Title:Quantum Chinese Remainder Clock Authors:Ivri Nagar, Alioscia Hamma, Mikel Palmero, Matthew Radzihovsky, Shouzhuo Yang, Seth Lloyd View a PDF of the paper titled Quantum Chinese Remainder Clock, by Ivri Nagar and 5 other authors View PDF HTML (experimental) Abstract:The Chinese remainder theorem is used in metrology for extending the range of quantum clocks/radar/interferometry, where the phase of a signal is known relative to a set of oscillators with different periods. This paper investigates the performance of a quantum-mechanical Chinese remainder clock, consisting of atoms/oscillators with pairwise coprime periods. We provide the optimal initial state and the optimal Heisenberg-limited quantum measurements for measuring time up to the product of the periods. We introduce a novel fault-tolerant post-processing protocol that allows reconstruction of the correct time even in the presence of errors in the remainders. Comments: Subjects: Quantum Physics (quant-ph) Report number: MIT-CTP/6088 Cite as: arXiv:2608.07938 [quant-ph] (or arXiv:2608.07938v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2608.07938 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Ivri Nagar [view email] [v1] Sat, 8 Aug 2026 05:57:52 UTC (1,295 KB) Full-text links: Access Paper: View a PDF of the paper titled Quantum Chinese Remainder Clock, by Ivri Nagar and 5 other authorsView PDFHTML (experimental)TeX 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?)