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    Parametric phase modulation in superconducting circuits

    Zhuang Ma1,2,3,*, Xianke Li1,2,3,*, Hongyi Shi1,2,3,*, Ruonan Guo1,2,3, Jianwen Xu1,2,3, Xinsheng Tan1,2,3,4,5,†, and Yang Yu1,2,3,4,5

    • *These three authors contributed equally to this work.
    • †Contact author: tanxs@nju.edu.cn

    Phys. Rev. Applied 24, 054067 – Published 21 November, 2025

    DOI: https://doi.org/10.1103/q9wv-wz9m

    Abstract

    Parametric modulation, valued for its versatility, is widely employed in superconducting circuits for quantum simulations and high-fidelity two-qubit gates. Conventionally, the qubit coupling strength is determined by the amplitude of the parametric flux pulse, which affects the qubit parameters dramatically. In this paper, we propose and implement a phase-modulation scheme to tune the interaction strength via adjustment of the relative phase between the parametric flux pulses applied to two coupled qubits. We characterize this modulation for sideband couplings, at both sweet and off-sweet spots, achieving a broad range of coupling strengths, as confirmed by both population dynamics and spectroscopy methods. This approach enables phase-controlled modulation of coupling strength, providing a promising candidate for parametrically driven quantum simulations and gate operations.

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