Amorphous silicon (a-Si) is hydrogenated for use as a dielectric (e.g., an interlayer dielectric) for superconducting electronics. A hydrogenated a-Si layer is formed on a substrate by CVD or sputtering. The hydrogen may be integrated during or after the a-Si deposition. After the layer is formed, it is first annealed in an environment of high hydrogen chemical potential and subsequently annealed in an environment of low hydrogen chemical potential. Optionally, the a-Si (or an H-permeable overlayer, if added) may be capped with a hydrogen barrier before removing the substrate from the environment of low hydrogen chemical potential.