I will discuss potential applications of a "superinductor" -- a sufficiently large superconducting inductor with relatively small capacitance, such that the characteristic impedance $\sqrt{L/C}$ is much greater than $h/(2e)2$. Such an element can be realized as a narrow strip of amorphous superconducting film. Superinductors, Josephson junctions, and capacitors can be used to construct a variety of interesting circuits, from a switch to a DC transformer to a qubit that features exponential protection from decoherence.
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