Floquet-engineered fast SNAP gates in weakly coupled circuit-QED systems

Fuente: arXiv
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Autori principali: You, Xinyuan, Li, Andy C. Y., Roy, Tanay, Zhu, Shaojiang, Romanenko, Alexander, Grassellino, Anna, Lu, Yao, Chakram, Srivatsan
Natura: Preprint
Pubblicazione: 2025
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author You, Xinyuan
Li, Andy C. Y.
Roy, Tanay
Zhu, Shaojiang
Romanenko, Alexander
Grassellino, Anna
Lu, Yao
Chakram, Srivatsan
author_facet You, Xinyuan
Li, Andy C. Y.
Roy, Tanay
Zhu, Shaojiang
Romanenko, Alexander
Grassellino, Anna
Lu, Yao
Chakram, Srivatsan
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2506_03034
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Floquet-engineered fast SNAP gates in weakly coupled circuit-QED systems
You, Xinyuan
Li, Andy C. Y.
Roy, Tanay
Zhu, Shaojiang
Romanenko, Alexander
Grassellino, Anna
Lu, Yao
Chakram, Srivatsan
Quantum Physics
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.
title Floquet-engineered fast SNAP gates in weakly coupled circuit-QED systems
topic Quantum Physics
url https://arxiv.org/abs/2506.03034