A within-chip magnetic field control device is formed in proximity to a Josephson Junction (JJ) structure. The within-chip magnetic field control device includes wiring structures that are located laterally adjacent to the JJ structure. In some embodiments, the magnetic field control device also includes, in addition to the wiring structures, a conductive plate that is connected to the wiring structures and is located beneath the JJ structure. Use of electrical current through the wiring structures induces, either directly or indirectly, a magnetic field into the JJ structure. The strength of the field can be modulated by the amount of current passing through the wiring structures. The magnetic field can be turned off as needed by ceasing to allow current to flow through the wiring structures.