Unitary Evolution on a Discrete Phase Space
نویسنده
چکیده
We construct unitary evolution operators on a phase space with power of two discretization. These operators realize the metaplectic representation of the modular group SL(2,Z2n). It acts in a natural way on the coordinates of the non-commutative 2-torus, T2n and thus is relevant for noncommutative field theories as well as theories of quantum space-time. The class of operators may also be useful for the efficient realization of new quantum algorithms.
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