Simulation of Parametrically Coupled Qubits with Qiskit Metal and pyEPR

Various forms of circuit simulation can be an indispensable tool in designing superconducting qubit experiments. Before committing to a particular device, fixed after fabrication, simulations can be used to explore design trade-offs in order to optimize the desired circuit behavior. In addition, simulations can be used to help diagnose unexplained results in existing experiments. In this talk, we discuss the open source Qiskit Metal toolkit and the energy participation ratio (EPR) method for simulating various ongoing experiments of parametrically coupled circuits. By sweeping various design parameters, we can predict how these parameters influence the circuit's mode frequencies and relevant features such as static cross-couplings between these modes. Through comparisons with existing measured devices we are able to identify what design parameters strongly influence the device characteristics we wish to adjust and how to optimize them. Additionally we can assess what dynamics or behaviors are not being properly modelled or accounted for, as well as identify key features that should not be omitted in traditional lumped element design approaches. Finally we will discuss how we can use this simulation framework to inform the design of future devices and experiments within our group.