Efficient High-Fidelity Numerical Modeling Methods for Superconducting Quantum Circuit Devices

To improve quantum information technology performance, there is an increasing need for high-fidelity numerical modeling methods. Here, we discuss progress on efficient, high-fidelity numerical methods for modeling the superconducting quantum circuit hardware platform. We will discuss a method for rapidly predicting qubit-qubit exchange coupling rates needed in designing multi-qubit gates, how to incorporate these effects into Maxwell-Schrödinger methods to model coupled field-qubit dynamics, and a method for modeling Josephson traveling-wave parametric amplifiers that are key in measuring qubit states. We will also discuss progress on fully-quantum analysis methods using numerical eigenmodes that are vastly more efficient than existing techniques.