Millimeter-wave Superconducting and Quantum Non-linear Kinetic Inductance Circuits and Devices

Millimeter wave technologies have various applications in many science and engineering disciplines, from astronomy and chemistry to medicine and security. The superconducting circuit technology, in particular mm-wave, is one of the most appealing candidates due to their extremely low loss, near quantum-limited noise performance, and scalable fabrication. Two main immediate applications of these devices are in astronomical instrumentation and quantum computing and sensing. The kinetic inductance caused by the inertia of cooper pairs in thin-film superconductors dominates over the geometric inductance of the superconducting circuit. The nonlinear response of the kinetic inductance to an applied field or current provides a Kerr-like medium. This nonlinear platform can be used for mixing processes, parametric gain, and anharmonic resonance. In this thesis, I present the development of an mm-wave superconducting on-chip Fourier transform spectrometer (SOFTS) based on a nonlinear kinetic inductance of superconducting thin films. The circuit elements of the SOFTS device include a quadrature hybrid and current-controllable superconducting transmission lines in an inverted microstrip geometry. Another similar device explored here is a kinetic inductance traveling wave parametric amplifier (KI-TWPA) with wide instantaneous bandwidth, quantum noise limited performance, and high dynamic range as a candidate for the readout of cryogenic detectors and superconducting qubits. I report four-wave mixing gain measurements of ~ 30 dB from 0.2 - 5 GHz in KI-TWPAs made of capacitively shunted microstrip lines. I show that the gain can be tuned over the above-mentioned frequency range by changing the pump tone frequency. I also discuss the measured gain (~ 6 dB) of a prototype mm-wave KI-TWPA in the 75 - 100 GHz frequency range. Finally, I present, for the first time, the concept and simulation of a kinetic inductance qubit I named Kineticon. The qubit exploits the nonlinearity of the kinetic inductance of a very thin nanowire connecting two capacitive pads with a resonant frequency of ~ 96 GHz. the qubit is embedded in an mm-wave aluminum cavity. I show that mm-wave anharmonic microstrip resonators made of NbTiN have quality factors > 60,000. These measurements are promising for implementing high-quality factor resonators and qubits in the mm-wave regime.