ar X iv : h ep - t h / 05 05 22 9 v 1 2 5 M ay 2 00 5 Unitary Evolution on the Z 2 n × Z 2 n Phase Space

نویسندگان

  • E. G. Floratos
  • S. Nicolis
چکیده

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, T 2 2 n 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.

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تاریخ انتشار 2005