Advancements in Qutrit Systems for Fluxonium-like Architectures*

Building superconducting-based qutrit processors presents significant challenges, primarily due to the pronounced decoherence of higher levels and the intricate measurement and control schemes required for qutrits. We focus on addressing these challenges by probing the Hamiltonian parameters of fluxonium-inspired superconducting systems, aiming to identify optimized qutrit configurations with enhanced coherence. Moreover, we investigate diverse coupling mechanisms to realize high-fidelity entangling gates for qutrits. Through detailed numerical analysis, we elucidate the dynamics of two-qutrit operations, offering insights into potential error sources and paving the way for future experimental endeavors.