Noise-resilient nonadiabatic geometric quantum computation for bosonic binomial codes
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Quantum Physics arXiv:2603.17250 (quant-ph) [Submitted on 18 Mar 2026] Title:Noise-resilient nonadiabatic geometric quantum computation for bosonic binomial codes Authors:Dong-Sheng Li, Yang Xiao, Yu Wang, Yang Liu, Zhi-Cheng Shi, Ye-Hong Chen, Yi-Hao Kang, Yan Xia View a PDF of the paper titled Noise-resilient nonadiabatic geometric quantum computation for bosonic binomial codes, by Dong-Sheng Li and 7 other authors View PDF Abstract:The binomial code is renowned for its parity-mediated loss immunity and loss-error recoverability, while geometric phases are widely recognized for their intrinsic resilience against noise. Capitalizing on their complementary merits, we propose a noise-resilient protocol to realize Nonadiabatic geometric quantum computation with binomial codes in a superconducting system composed of a microwave cavity %off-resonantly dispersively coupled to a %three-level qutrit. The control field %geometric quantum computation is designed by %combining geometric phases, integrating reverse engineering and optimal control. This design provides a customized control protocol featuring strong error-tolerance and inherent noise-resilience. Using experimentally accessible parameters in superconducting systems, numerical simulations show that the protocol yields relatively high average fidelity for geometric quantum gates based on binomial code, even in the presence of parameter fluctuations and decoherence. Thus, this protocol may provide a practical approach for realizing reliable Nonadiabatic geometric quantum computation with binomial codes in current technology. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2603.17250 [quant-ph] (or arXiv:2603.17250v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2603.17250 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Ye-Hong Chen Dr. [view email] [v1] Wed, 18 Mar 2026 01:09:56 UTC (1,320 KB) Full-text links: Access Paper: View a PDF of the paper titled Noise-resilient nonadiabatic geometric quantum computation for bosonic binomial codes, by Dong-Sheng Li and 7 other authorsView PDFTeX Source view license Current browse context: quant-ph new | recent | 2026-03 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?)