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Pré-Publication, Document De Travail Année : 2018

Unitary Evolution on a Phase Space with Power of Two Discretization

Stam Nicolis
E. G. Floratos
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-01784947 , version 1 (03-05-2018)

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Stam Nicolis, E. G. Floratos. Unitary Evolution on a Phase Space with Power of Two Discretization. 2018. ⟨hal-01784947⟩
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