2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/88816A geometrical approach to quantum computation is presented, where a non-abelian connection is introduced in order to rewrite the evolution operator of an energy degenerate system as a holonomic unitary. For a simple geometrical model we present an explicit construction of a universal set of gates, represented by holonomies acting on degenerate states.6 pages, 2 figures, REVTEX, to be published in the AMS Contemporary Math Series volume entitled "Quantum Computation & Quantum Information Science"Quantum PhysicsMathematical Physicstext