2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/90778Recently Shi proved that Toffoli and Hadamard are universal for quantum computation. This is perhaps the simplest universal set of gates that one can hope for, conceptually; It shows that one only needs to add the Hadamard gate to make a 'classical' set of gates quantum universal. In this note we give a few lines proof of this fact relying on Kitaev's universal set of gates, and discuss the meaning of the result.A note. 4 pagesQuantum PhysicsA Simple Proof that Toffoli and Hadamard are Quantum Universaltext