A superconducting switch system includes a plurality of switch network circuits, each switch network circuit having a respective Josephson junction (JJ) coupled to a respective transmission line. The superconducting switch system furthermore includes a bias line coupled to each of the respective JJs such that a mutual inductive coupling between the bias line and the respective JJ of at least two switch network circuits of the plurality of switch network circuits are different from one another. A bias line current to the bias line controls the passing or blocking of a received input signal to an output for each of the plurality of switch network circuits by controlling an impedance of the respective JJ of each of the plurality of switch network circuits, the impedance of the respective JJ being determined based on the bias line current and the mutual inductive coupling between the bias line and the respective JJ.