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    Engineered robustness for nonadiabatic geometric quantum gates

    Xuan Zhang1,*, Xiao-Le Li2,*, Jingjing Niu3, Tongxing Yan3,†, and Yuanzhen Chen1,‡

    • *These authors contributed equally to this work.
    • †Contact author: yantx@iqasz.cn
    • ‡Contact author: chenyz@sustech.edu.cn

    Phys. Rev. Applied 25, 044052 – Published 20 April, 2026

    DOI: https://doi.org/10.1103/tjyk-sxn7

    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 open 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 ϵ, with infidelity scaling as O(ϵ4), in contrast to the O(ϵ2) 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 significance of phase compensation and waveform calibration. The demonstrated simplicity and generality of our super-robust NGQG scheme make it applicable across diverse quantum platforms.

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