A tunable superconductor resonator including a superconductor resonator coil and a variable capacitance portion. The superconductor resonator is adjustable to a first resonant frequency and a second resonant frequency. A variable capacitance portion is electrically coupled to the superconductor resonator coil to vary electrical capacitance between a first capacitance and a second capacitance. The variable capacitance portion providing the first capacitance adjusts the superconductor resonator to its first resonant frequency. The variable capacitance portion providing the second capacitance adjusts the superconductor resonator to its second resonant frequency. Different aspects of the tunable superconductor resonator can be tuned using dynamic tuning and/or static tuning techniques.