Analysis of Superconducting Qubit Layouts Using InductEx

TL;DR

This paper demonstrates the use of InductEx software for analyzing and verifying the design parameters of a superconducting two-qubit chip, highlighting its broad applicability in quantum circuit layout optimization.

Contribution

It provides a comprehensive analysis method for superconducting qubit layouts using InductEx, including parameter extraction and design verification before fabrication.

Findings

Calculated qubit and resonator frequencies

Verified design constraints for transmon qubits

Analyzed current density maps for qualitative insights

Abstract

InductEx is a software tool used for the analysis of integrated circuit designs and extraction of design parameters by way of numerical electromagnetic field solving. This tool was originally developed with Rapid Single Flux Quantum (RSFQ) chips in mind, but it has a broad applicability and can be extended to other processes. In this poster, we report a comprehensive analysis of a superconducting aluminum two qubit chip. This analysis was performed with InductEx. We report the design of a two qubit chip which has the characteristics necessary to execute single and two qubit gates. Ahead of fabrication, several design characteristics have been extracted from this quantum chip design in order to verify that it satisfies basic design principles of transmon qubits. These characteristics are reported in this poster and they include the calculation of chip anharmonicities, qubit frequencies, resonator frequencies as well as g-factors and dispersive shifts. Design constraints which are satisfied by these extracted parameters are discussed. Additionally, qualitative aspects of the chip have been obtained from current density maps and are reported here. Taken as a whole, this analysis demonstrates the broad applicability of Inductex to integrated circuit design and particularly to the problem of quantum circuit layout optimization.