1. A superconducting qubit having a mechanism to actively compensate for Josephson junction asymmetry, the superconducting qubit comprising: a qubit loop formed by a first current path that is superconductive below a critical temperature; a first programming interface that couples a control signal to the qubit loop; a primary compound Josephson junction structure that interrupts the qubit loop, the primary compound Josephson junction structure comprising two parallel current paths that are each formed of a material that is superconducting below a critical temperature, wherein each of the two parallel current paths of the primary compound Josephson junction structure includes a respective Josephson junction structure; a second programming interface that couples a control signal to the primary compound Josephson junction structure; and wherein the mechanism to actively compensate for Josephson junction asymmetry comprises: the Josephson junction structure in a first one of the two parallel current paths of the primary compound Josephson junction structure includes a first secondary compound Josephson junction structure nested within the primary compound Josephson junction structure, the first secondary compound Josephson junction structure comprising two parallel current paths that are each formed of a material that is superconducting below a critical temperature, and at least two Josephson junctions, each of which interrupts a respective one of the two parallel current paths of the first secondary compound Josephson junction structure; and a third programming interface that couples a control signal to the first secondary compound Josephson junction structure and thereby tunes a characteristic of the first secondary compound Josephson junction structure to match a characteristic of the Josephson junction structure in a second one of the two parallel current paths of the primary compound Josephson junction structure.