This article holds that governmental investments in quantum technologies speak to the imaginable futures of digital sovereignty and digital infrastructures, two major areas of change driven by related technologies like AI and Big Data, among other things, in international law today. Under intense development today for future interpolation into digital systems that they may alter, quantum technologies occupy a sort of liminal position, rooted in existing assemblages of computational technologies while pointing to new horizons for them. The possibilities they raise (...) are neither certain nor determinate, but active investments in them (legal, political and material investments) offer perspective on digital technology-driven influences on an international legal imagination. In contributing to visions of the future that are guiding ambitions for digital sovereignty and digital infrastructures, quantum technologies condition digital technology-driven changes to international law and legal imagination in the present. Privileging observation and description, I adapt and utilize a diffractive method with the aim to discern what emerges out of the interference among the several related things assembled for this article, including material technologies and legal institutions. In conclusion, I observe ambivalent changes to an international legal imagination, changes which promise transformation but appear nonetheless to reproduce current distributions of power and resources. (shrink)