Unitary Evolution on a Phase Space with Power of Two Discretization
High Energy Physics - Theory
2007-05-23 v1 Mathematical Physics
math.MP
Quantum Physics
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.
Cite
@article{arxiv.hep-th/0505229,
title = {Unitary Evolution on a Phase Space with Power of Two Discretization},
author = {E. G. Floratos and S. Nicolis},
journal= {arXiv preprint arXiv:hep-th/0505229},
year = {2007}
}
Comments
7 pages, LaTeX2e, amssymb