2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94895We show how to realize, by means of non-abelian quantum holonomies, a set of universal quantum gates acting on decoherence-free subspaces and subsystems. In this manner we bring together the quantum coherence stabilization virtues of decoherence-free subspaces and the fault-tolerance of all-geometric holonomic control. We discuss the implementation of this scheme in the context of quantum information processing using trapped ions and quantum dots.4 pages, no figures. v2: minor changes. To appear in PRLQuantum Physicstext