Frankfurt 2006 – scientific programme

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Q: Quantenoptik und Photonik

Q 15: Quanteninformation II

Q 15.2: Talk

Monday, March 13, 2006, 17:15–17:30, HI

On the connection between Quantum Walks and Quantum Cellular Automata — •Holger Vogts and Reinhard F. Werner — Institut für Mathematische Physik, TU Braunschweig, www.imaph.tu-bs.de

We review the models of Quantum Walks (QWs) and Quantum Cellular Automata (QCAs) and analyze connections between these two types of quantum lattice systems. In particular, we want to determine particle conserving QCAs, which reduce to a given QW on one-particle states. In general, there are many QCAs with this property, corresponding to different interactions between the walking particles. We discuss the problem of finding an interaction with smallest admissible range, and how to find interactions respecting internal symmetries of the walking particles.