Floquet-Engineered Fast SNAP gates in weakly coupled cQED systems

• URL: http://arxiv.org/abs/2506.03034v1
• Date: Tue, 03 Jun 2025 16:18:43 GMT
• Title: Floquet-Engineered Fast SNAP gates in weakly coupled cQED systems
• Authors: Xinyuan You, Andy C. Y. Li, Tanay Roy, Shaojiang Zhu, Alexander Romanenko, Anna Grassellino, Yao Lu, Srivatsan Chakram,
• Abstract summary: We propose a protocol to achieve high-fidelity SNAP gates that are orders of magnitude faster than the standard implementation.<n>We also present a unified theory that explains both the gate acceleration and the associated benign drive-induced decoherence.<n>These results pave the way for the experimental realization of high-fidelity, selective control of weakly coupled, high-coherence cavities.
• Score: 37.42320987559468
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Superconducting cavities with high quality factors, coupled to a fixed-frequency transmon, provide a state-of-the-art platform for quantum information storage and manipulation. The commonly used selective number-dependent arbitrary phase (SNAP) gate faces significant challenges in ultra-high-coherence cavities, where the weak dispersive shifts necessary for preserving high coherence typically result in prolonged gate times. Here, we propose a protocol to achieve high-fidelity SNAP gates that are orders of magnitude faster than the standard implementation, surpassing the speed limit set by the bare dispersive shift. We achieve this enhancement by dynamically amplifying the dispersive coupling via sideband interactions, followed by quantum optimal control on the Floquet-engineered system. We also present a unified perturbation theory that explains both the gate acceleration and the associated benign drive-induced decoherence, corroborated by Floquet-Markov simulations. These results pave the way for the experimental realization of high-fidelity, selective control of weakly coupled, high-coherence cavities, and expanding the scope of optimal control techniques to a broader class of Floquet quantum systems.

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