Unitary Evolution on a Discrete Phase Space
| dc.creator | Floratos, E. G. | |
| dc.creator | Nicolis, S. | |
| dc.date | 2005-10-06 | |
| dc.date.accessioned | 2026-07-07T06:23:44Z | |
| dc.date.available | 2026-07-07T06:23:44Z | |
| dc.description | 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. | |
| dc.description | 5 pages, contribution to Lattice 2005 (theoretical developments) | |
| dc.identifier | https://arxiv.org/abs/hep-lat/0510043 | |
| dc.identifier | http://arxiv.org/abs/hep-lat/0510043 | |
| dc.identifier | PoS LAT2005 (2005) 260 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96337 | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Unitary Evolution on a Discrete Phase Space | |
| dc.type | text |