Experimental designs for binary data in switching measurements on superconducting Josephson junctions

Juha Karvanen*, Juha J. Vartiainen, Andrey Timofeev, Jukka Pekola

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

6 Citations (Scopus)

Abstract

We study the optimal design of switching measurements of small Josephson junction circuits which operate in the macroscopic quantum tunnelling regime. In the experiment, sequences of current pulses are applied to the Josephson junction sample, while the voltage over the structure is monitored. The appearance of a voltage pulse to a single applied current pulse, being governed by the laws of quantum mechanics, is purely random. 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 design presented has immediate applications in the area of superconducting electronics, implying faster data acquisition. The experimental results presented confirm the usefulness of the method.

Original languageEnglish
Pages (from-to)167-181
Number of pages15
JournalJOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES C: APPLIED STATISTICS
Volume56
Issue number2
DOIs
Publication statusPublished - 23 Mar 2007
MoE publication typeA1 Journal article-refereed

Keywords

  • Complementary log-log-link
  • D-optimality
  • Escape measurements
  • Logistic regression
  • Optimal design
  • Quantum physics

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