Düsseldorf 2007 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 41: Quanteninformation (Konzepte II)

Q 41.4: Vortrag

Mittwoch, 21. März 2007, 14:45–15:00, 5L

Invariance of quantum cellular automata under all lattice symmetries — •Holger Vogts and Reinhard Werner — Institut für Mathematische Physik, TU Braunschweig, www.imaph.tu-bs.de

Quantum cellular automata (QCAs) are local discrete time dynamical evolutions on a lattice of finite dimensional quantum systems, e.g. spin chains. Usually, one requires these operations to be translationally invariant. But in general the underlying lattice provides more symmetries. So it is a natural question to look for QCAs, which commute with these additional symmetry operations, and study the constraints on the local QCA rules. In the one dimensional lattice we consider QCAs, which are invariant under reflection. Nearest neighbor QCAs with this property are up to a cell-wise rotation phase gates. In higher dimensional lattices we also study the invariance under discrete lattice rotations.