2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/50043We construct quantum evolution operators on the space of states, that is represented by the vertices of the n-dimensional unit hypercube. They realize the metaplectic representation of the modular group SL(2,Z(2^n)). By construction this representation acts in a natural way on the coordinates of the non-commutative 2-torus,T^2, and thus is relevant for noncommutative field theories as well as theories of quantum space-time.8 pages LaTeX (needs amssymb.sty)High Energy Physics - TheoryQuantum AlgebraChaotic DynamicsQuantum Physicstext