Intrinsic Quantum Codes: One Code To Rule Them All

Quantum Physics arXiv:2511.14840 (quant-ph) [Submitted on 18 Nov 2025] Title:Intrinsic Quantum Codes: One Code To Rule Them All Authors:Eric Kubischta, Ian Teixeira View a PDF of the paper titled Intrinsic Quantum Codes: One Code To Rule Them All, by Eric Kubischta and 1 other authors View PDF Abstract:Drawing on the analogy between intrinsic and extrinsic geometry, we define an intrinsic quantum code as a subspace of a group representation. We show how this abstract code rules over any physical (extrinsic) realization by dictating its error-correction properties. By finding one intrinsic code, we simultaneously uncover properties of all its realizations. This approach brings diverse codes into a unified framework and binds them through a single underlying symmetry. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2511.14840 [quant-ph] (or arXiv:2511.14840v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2511.14840 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Eric Kubischta [view email] [v1] Tue, 18 Nov 2025 19:00:06 UTC (618 KB) Full-text links: Access Paper: View a PDF of the paper titled Intrinsic Quantum Codes: One Code To Rule Them All, by Eric Kubischta and 1 other authorsView PDFTeX Source view license Current browse context: quant-ph new | recent | 2025-11 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?)