A superconducting electronic circuit includes at least two SQUID elements, an array of at least three Josephson Junctions, and a magnetic source element. Each SQUID element has no shared Josephson Junctions or at least one shared Josephson Junction with another SQUID element and at least one exclusive Josephson Junction. The array of at least three Josephson Junctions are connected in one, two, or three-dimensions. The magnetic source element has an electrically-tunable spatially non-uniform magnetic field.