Physics – Condensed Matter – Superconductivity
Scientific paper
2006-10-18
Journal of the Royal Statistical Society: Series C (Applied Statistics) 2007, Vol. 56, 167-181
Physics
Condensed Matter
Superconductivity
Scientific paper
10.1111/j.1467-9876.2007.00572.x
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
Karvanen Juha
Pekola Jukka
Timofeev Andrey
Vartiainen Juha J.
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