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    Overcoming the Speed-Fidelity Trade-Off in Fast cz Gates via Cyclic Control

    Ze-An Zhao1,2, Hai-Feng Zhang1,2, Tian-Le Wang1,2, Xiao-Yan Yang1,2, Peng Wang1,2,3, Ren-Ze Zhao1,2, Sheng Zhang1,2,3, Zhi-Fei Li1,2, Yuan Wu1,2 et al.

    Zi-Hao Fu1,2, Sheng-Ri Liu1,2, Peng Duan1,2,*, and Guo-Ping Guo1,2,4,†

    • *Contact author: pengduan@ustc.edu.cn
    • †Contact author: gpguo@ustc.edu.cn

    Phys. Rev. Lett. 137, 060601 – Published 3 August, 2026

    DOI: https://doi.org/10.1103/xd7q-2kf9

    Abstract

    High-fidelity quantum gates are essential for scalable quantum computation. However, at short durations, short-timescale waveform distortions break the time-reflection symmetry of control pulses, preventing the precise closure of cyclic evolution. This mechanism renders conventional symmetric protocols intrinsically overconstrained. Conventional strategies typically rely on smoothing the pulse envelopes or embedding the interaction pulse within a longer qubit pulse to bypass short-timescale distortions, which inevitably leads to a persistent speed-fidelity trade-off. To overcome this limitation, we introduce a cyclic control strategy based on parameter-space expansion, which restores controllability by incorporating an additional degree of freedom. We experimentally demonstrate this approach in a superconducting controlled-z gate, achieving robust suppression of coherent errors without increasing gate duration, reducing the average coherent error from 0.27% to 0.12% across multiple two-qubit gates, as validated by cross-entropy benchmarking. Our results establish a general route to fast, high-fidelity cyclic quantum gates beyond the conventional speed-fidelity trade-off.

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