Design of interacting superconducting quantum circuits with quasi-lumped models

Abstract

The remarkable growth in the field of quantum information processing increasingly requires precise, widely applicable, and modular methods that can model the quantum electrodynamics of the physical circuits, including their more-subtle renormalization effects. Here, we present a practical demonstration of a computationally efficient method satisfying these criteria. The method, referred to as the quasi-lumped model of circuit quantum electrodynamics, and implemented in Qiskit Metal, partitions a quantum device into compact lumped or quasi-distributed cells. The composite system is then reduced and mapped to a set of simple subsystem building blocks and their pairwise interactions. We demonstrate the versatility of this approach by several examples in a full stack workflow, from device layout to electromagnetic simulation, then to Hamiltonian analysis and ultimately to time evolution simulation. *IBM Quantum, Intelligence Advanced Research Projects Activity (IARPA) under Contract No. W911NF-16-1-0114.