2025/05/19 by Andrea Delgado, Boada, Maria Gabriela, Delgado, Andrea +2
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Mechanical and Optical Resonators #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2505.13177
openalex publication_date 2025/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The transmon qubit, essential to quantum computation, exhibits disordered dynamics under strong parametric drives critical to its control. We present a combined theoretical and numerical study of stability regions in circuit QED using Floquet theory, focusing on the appearance of Arnold tongues that distinguish stable from unstable regimes. Starting from simple Josephson circuits and progressing to full multimode qubit-cavity systems, we show how time-dependent modulation maps the dynamics to Mathieu-type equations, revealing thresholds for parametric resonances. Perturbative corrections capture effects like higher harmonics and weak nonlinearities. Simulations validate these predictions and expose sensitivity to fabrication parameters. These findings inform thresholds for readout fidelity, amplifier gain, and multi-qubit gate stability.