Stabilizer Code-Generic Universal Fault-Tolerant Quantum Computation
Summarize this article with:
Quantum Physics arXiv:2601.10964 (quant-ph) [Submitted on 16 Jan 2026] Title:Stabilizer Code-Generic Universal Fault-Tolerant Quantum Computation Authors:Nicholas J.C. Papadopoulos, Ramin Ayanzadeh View a PDF of the paper titled Stabilizer Code-Generic Universal Fault-Tolerant Quantum Computation, by Nicholas J.C. Papadopoulos and 1 other authors View PDF HTML (experimental) Abstract:Fault-tolerant quantum computation allows quantum computations to be carried out while resisting unwanted noise. Several error correcting codes have been developed to achieve this task, but none alone are capable of universal quantum computation. This universality is highly desired and often achieved using additional techniques such as code concatenation, code switching, or magic state distillation, which can be costly and only work for specific codes. This work implements logical Clifford and T gates through novel ancilla-mediated protocols to construct a universal fault-tolerant quantum gate set. Unlike traditional techniques, our implementation is deterministic, does not consume ancilla registers, does not modify the underlying data codes or registers, and is generic over all stabilizer codes. Thus, any single code becomes capable of universal quantum computation by leveraging helper codes in ancilla registers and mid-circuit measurements. Furthermore, since these logical gates are stabilizer code-generic, these implementations enable communication between heterogeneous stabilizer codes. These features collectively open the door to countless possibilities for existing and undiscovered codes as well as their scalable, heterogeneous coexistence. Comments: Subjects: Quantum Physics (quant-ph); Data Structures and Algorithms (cs.DS) Cite as: arXiv:2601.10964 [quant-ph] (or arXiv:2601.10964v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2601.10964 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Nicholas Papadopoulos [view email] [v1] Fri, 16 Jan 2026 03:06:56 UTC (87 KB) Full-text links: Access Paper: View a PDF of the paper titled Stabilizer Code-Generic Universal Fault-Tolerant Quantum Computation, by Nicholas J.C. Papadopoulos and 1 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-01 Change to browse by: cs cs.DS 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?)