Magnetic field tuning of coplanar waveguide resonators
J. E. Healey (1), T. Lindstrom (1, 2), M. S. Colclough (1), C. M., Muirhead (1), A. Ya Tzalenchuk (2) ((1) University of Birmingham, UK (2), National Physical Laboratory, UK)

TL;DR
This paper investigates how magnetic fields influence the resonant frequency of coplanar waveguide resonators used in quantum computing, demonstrating high sensitivity and significant frequency shifts.
Contribution
It presents the first detailed study of magnetic field effects on coplanar waveguide resonators with high quality factors on different substrates.
Findings
Resonators exhibit quality factors over one million.
Resonant frequency shifts quadratically with magnetic field.
Frequency shifts can reach hundreds of linewidths.
Abstract
We describe measurements on microwave coplanar resonators designed for quantum bit experiments. Resonators have been patterned onto sapphire and silicon substrates, and quality factors in excess of a million have been observed. The resonant frequency shows a high sensitivity to magnetic field applied perpendicular to the plane of the film, with a quadratic dependence for the fundamental, second and third harmonics. Frequency shift of hundreds of linewidths can be obtained.
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