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

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  • Juha Karvanen
  • Juha J. Vartiainen
  • Andrey Timofeev
  • Jukka Pekola

Abstract

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.

Suggested Citation

  • Juha Karvanen & Juha J. Vartiainen & Andrey Timofeev & Jukka Pekola, 2007. "Experimental designs for binary data in switching measurements on superconducting Josephson junctions," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 56(2), pages 167-181, March.
    • Handle: RePEc:bla:jorssc:v:56:y:2007:i:2:p:167-181
    DOI: 10.1111/j.1467-9876.2007.00572.x
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    Cited by:

    1. Karvanen, Juha, 2009. "Approximate cost-efficient sequential designs for binary response models with application to switching measurements," Computational Statistics & Data Analysis, Elsevier, vol. 53(4), pages 1167-1176, February.

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