Unitary Evolution on a Phase Space with Power of Two Discretization

E. G. Floratos; S. Nicolis

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arXiv · hep-th/0505229

Unitary Evolution on a Phase Space with Power of Two Discretization

E. G. Floratos·S. Nicolis

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Abstract

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.

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E. G. Floratos, S. Nicolis. 2005-05-25. Unitary Evolution on a Phase Space with Power of Two Discretization. https://arxiv.org/abs/hep-th/0505229

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