Meta-Geometric Resonator Design for Quantum Devices: Benchmarking Vesica vs. Standard Architectures

We introduce a new class of resonator geometries based on meta-geometric (Vesica) domains, benchmarked against standard circular and rectangular cavities.Using direct numerical simulation, we extract eigenmode spectra, compare qubit and qudit gaps, and provide all code, data, and figures for reproducibility.Our results show that the Vesica geometry can offer distinct spectral features—wider mode separation, robust addressability, and potential advantages for multi-level quantum operation.This repository includes step-by-step simulation code, analysis scripts, and publication-ready plots for immediate use or further adaptation by researchers and engineers.All results are fully open and intended as a platform for new quantum hardware exploration.