Engineered Robustness for Nonadiabatic Geometric Quantum Gates

Quantum Physics arXiv:2511.04225 (quant-ph) [Submitted on 6 Nov 2025] Title:Engineered Robustness for Nonadiabatic Geometric Quantum Gates Authors:Xuan Zhang, XIao-le Li, Jingjing Niu, Tongxing Yan, Yuanzhen Chen View a PDF of the paper titled Engineered Robustness for Nonadiabatic Geometric Quantum Gates, by Xuan Zhang and 4 other authors View PDF HTML (experimental) Abstract:While geometric quantum gates are often theorized to possess intrinsic resilience to control errors by exploiting the global properties of evolution paths, this promise has not consistently translated into practical robustness. We present a streamlined framework for nonadiabatic geometric quantum gates (NGQGs) that incorporates additional auxiliary constraints to suppress dynamical contamination and achieve super-robust performance. Within this framework, we also design NGQGs using noncyclic paths, offering enhanced design flexibility. Implemented on superconducting transmon qubits, our scheme realizes high-fidelity single-qubit gates that are robust against Rabi amplitude error $\epsilon$, with infidelity scaling as $\mathcal{O}(\epsilon^4)$, in contrast to the $\mathcal{O}(\epsilon^2)$ behavior of conventional dynamical gates. We further analyze two-qubit NGQGs under parametric driving. Our results identify subtle limitations that compromise performance in two-qubit scenarios, underscoring the importance of phase compensation and waveform calibration. The demonstrated simplicity and generality of our super-robust NGQG scheme make it applicable across diverse quantum platforms. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2511.04225 [quant-ph] (or arXiv:2511.04225v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2511.04225 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Xuan Zhang [view email] [v1] Thu, 6 Nov 2025 09:54:02 UTC (2,590 KB) Full-text links: Access Paper: View a PDF of the paper titled Engineered Robustness for Nonadiabatic Geometric Quantum Gates, by Xuan Zhang and 4 other authorsView PDFHTML (experimental)TeX 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?)