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We demonstrate impedance-matched low-loss transmission lines with a signalwavelength more than 150 times smaller than the free space wavelength usingsuperconducting nanowires on high permittivity substrates. A niobium nitridethin film is patterned in a coplanar waveguide (CPW) transmission line geometryon a bilayer substrate consisting of 100 nm of epitaxial strontium titanate onhigh-resitivity silicon. The use of strontium titanate on silicon enableswafer-scale fabrication and maximizes process compatibility. It also makes itpossible to realize a $50$ $\Omega$ characteristic impedance across a widerange of CPW widths, from the nanoscale to the macroscale. We fabricated andcharacterized an approximately $50$ $\Omega$ CPW device with two half-wave stubresonators. Comparing the measured transmission coefficient to numericalsimulations, we determine that the strontium titanate film has a dielectricconstant of $1.1 \times 10^3$ and a loss tangent of not more than 0.009. Tofacilitate the design of distributed microwave devices based on this type ofmaterial system, we describe an analytical model of the CPW properties thatgives good agreement with both measurements and simulations.

50 Ohm Transmission Lines with Extreme Wavelength Compression Based on Superconducting Nanowires on High-Permittivity Substrates