Experimental Designs for Binary Data in Switching Measurements on Superconducting Josephson Junctions

TL;DR

This paper develops an optimal sequential experimental design for binary switching measurements of Josephson junctions, improving data collection efficiency in quantum physics experiments.

Contribution

It introduces a D-optimal design tailored for Gumbel distribution parameters in superconducting junction measurements, combining heuristic search with maximum likelihood estimation.

Findings

Design accelerates data acquisition in superconducting electronics.

Experimental results validate the effectiveness of the proposed method.

The approach enhances parameter estimation accuracy in quantum tunnelling studies.

Abstract

We study the optimal design of switching measurements of small Josephson junction circuits which operate in the macroscopic quantum tunnelling regime. Starting from the D-optimality criterion we derive the optimal design for the estimation of the unknown parameters of the underlying Gumbel type distribution. As a practical method for the measurements, we propose a sequential design that combines heuristic search for initial estimates and maximum likelihood estimation. The presented design has immediate applications in the area of superconducting electronics implying faster data acquisition. The presented experimental results confirm the usefulness of the method. KEY WORDS: optimal design, D-optimality, logistic regression, complementary log-log link, quantum physics, escape measurements