Effective lumped models of distributed elements for scalable design of superconducting quantum devices*

In quantum circuit design, electromagnetic (EM) simulations are typically required at many steps of the design process. This is both computationally intensive and time-consuming. We develop and test an effective lumped oscillator model (LOM) for a CPW resonator coupled to arbitrary loads. The LOM uses geometric values and capacitances obtained from individual circuit element simulations to determine the system's Hamiltonian parameters of frequency, line-width, and coupling strength.