Efficient Design and Simulation of Parametrically Coupled Superconducting Qubits

Superconducting circuits provide a rich landscape to realize a variety of qubit properties and interactions. To achieve an intended Hamiltonian an experiment designer needs an appropriate toolset to ensure they will achieve the goal and minimize unintended processes before committing to fabrication. We have been pursuing a design architecture of superconducting qubits and cavities with fast, tunable coupling mediated by parametric coupling. We seek a means to optimize the cancellation of unwanted static interactions alongside adequate mode tuneability to have strong parametric coupling rates. This requires good agreement between the increasing levels of complex design and simulation to the measurement of fabricated devices. We will discuss how we leverage lumped-circuit models, full-wave EM finite-element solvers and driven dynamics simulation to optimize the design of parametric multi-qubit cavity QED devices. This work leverages and builds on a variety of open-source software packages with ongoing development in the community.