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Q: Quantenoptik und Photonik

Q 3: Poster Quanteninformation, -kommunikation und Quantencomputer

Q 3.5: Poster

Freitag, 4. März 2005, 11:00–12:30, Poster HU

Quantum cellular automata with locally conserved quantities — •Holger Vogts and Reinhard F. Werner — Institut für Mathematische Physik, TU Braunschweig, www.imaph.tu-bs.de

A quantum lattice gas is a cellular automaton, i.e., a discrete time lattice system with strictly finite propagation speed, in which the conservation of the number of particles is guaranteed by the local transition rule. The dynamics can therefore be restricted to states with fixed particle number, obtaining a system of interacting quantum random walkers. Apart from conserved quantities which are sums of one-site terms, we also consider quantities containing interaction terms. A typical example is the energy of the XY spin chain, which is a conserved quantity for a certain Clifford cellular automaton.