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Conference Papers Year : 2005

Unitary Evolution on a Discrete Phase Space

Stam Nicolis
E. G. Floratos
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Abstract

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,Z_{2^n}). It acts in a natural way on the coordinates of the non-commutative 2-torus, T_{2^n}^2$ and thus is relevant for non-commutative 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.

Dates and versions

hal-01784946 , version 1 (03-05-2018)

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Stam Nicolis, E. G. Floratos. Unitary Evolution on a Discrete Phase Space. XXIIIrd International Symposium on Lattice Field Theory, Jul 2005, Dublin, Ireland. pp.260. ⟨hal-01784946⟩
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