2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/53144We construct quantum evolution operators on the space of states, that realize the metaplectic representation of the modular group SL(2,Z_2^n). This representation acts in a natural way on the coordinates of the non-commutative 2-torus and thus is relevant for noncommutative field theories as well as theories of quantum space-time. The larger class of operators, thus defined, may be useful for the more efficient realization of new quantum algorithms.7 pages, LaTeX2e, amssymbHigh Energy Physics - TheoryMathematical PhysicsQuantum Physicstext