Unitary Evolution on a Phase Space with Power of Two Discretization

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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Pré-publication, Document de travail
7 pages, LaTeX2e, amssymb. 2018
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https://hal.archives-ouvertes.fr/hal-01784947
Contributeur : Stam Nicolis <>
Soumis le : jeudi 3 mai 2018 - 23:27:58
Dernière modification le : mercredi 23 mai 2018 - 10:32:02

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Stam Nicolis, E. G. Floratos. Unitary Evolution on a Phase Space with Power of Two Discretization. 7 pages, LaTeX2e, amssymb. 2018. 〈hal-01784947〉

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