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Experimental designs for binary data in switching measurements on superconducting Josephson junctions
Author(s) -
Karvanen Juha,
Vartiainen Juha J.,
Timofeev Andrey,
Pekola Jukka
Publication year - 2007
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.1111/j.1467-9876.2007.00572.x
Subject(s) - josephson effect , gumbel distribution , heuristic , quantum tunnelling , electronic circuit , voltage , binary number , pulse (music) , computer science , superconductivity , quantum , electronics , optimal design , statistical physics , computational physics , physics , electronic engineering , algorithm , electrical engineering , mathematics , quantum mechanics , statistics , extreme value theory , engineering , artificial intelligence , arithmetic , machine learning
Summary. We study the optimal design of switching measurements of small Josephsonjunction 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.