Abstract
In this paper we present methods for the miniaturization of superconductingfilters. We consider two designs of seventh-order bandpass Chebyshev filters basedon lumped elements and a novel quasi-lumped element resonator. In bothdesigns the area of the filters, with a central frequency of 2–5 GHz, is less than1.2 mm2. Such small filters can be readily integrated on a single board for multi-channel microwavecontrol of superconducting qubits. The filters have been experimentally tested and theresults are compared with simulations. The miniaturization resulted in parasiticcoupling between resonators and within each resonator that affected primarily thestopband and increased the bandwidth. The severity of the error depends on thedesign in particular, and was less sensitive when a groundplane was used under theinductances of the resonators. The best performance was reached for the quasi-lumpedfilter with central frequency of 4.45 GHz, quality factor of 40 and 50 dB stopband.
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