Unitary Evolution on a Discrete Phase Space

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.
Type de document :
Pré-publication, Document de travail
5 pages, contribution to Lattice 2005 (theoretical developments). 2018
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https://hal.archives-ouvertes.fr/hal-01784946
Contributeur : Stam Nicolis <>
Soumis le : jeudi 3 mai 2018 - 23:26:37
Dernière modification le : dimanche 17 juin 2018 - 15:58:02

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Stam Nicolis, E. G. Floratos. Unitary Evolution on a Discrete Phase Space. 5 pages, contribution to Lattice 2005 (theoretical developments). 2018. 〈hal-01784946〉

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