Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-05-25
Physics
High Energy Physics
High Energy Physics - Theory
7 pages, LaTeX2e, amssymb
Scientific paper
We 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.
Floratos E. G.
Nicolis Stam
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