Fabricating wiring layers above a Josephson junction multi-layer may include removing a part of the multilayer; depositing an insulating layer to overlie a part of the multilayer; and patterning the insulating layer to define a hole in the insulating layer. The method includes depositing a first superconducting wiring layer over a part of the insulating layer and within a portion of the hole. Further, insulating and wiring layers may be deposited and a topmost wiring layer defined. The method includes depositing a passivating layer to overlie the topmost wiring layer. Fabricating a superconducting integrated circuit comprising a hybrid dielectric system may include depositing a high-quality dielectric layer that overlies a superconducting feature. The method includes depositing a second dielectric layer that overlies at least part of the high-quality dielectric layer. The second dielectric layer can comprise a conventional dielectric material.