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Q: Fachverband Quantenoptik und Photonik
Q 41: Quanteninformation (Konzepte und Methoden III)
Q 41.2: Talk
Thursday, March 13, 2008, 14:15–14:30, 1B
Quasi-Free States on Clifford Quantum Cellular Automata — •Sonja Uphoff1, Zoltan Zimboras2, and Reinhard Werner1 — 1Institut für Mathematische Physik, TU Braunschweig, www.imaph.tu-bs.de — 2Theoretische Physik, Universität des Saarlands, www.uni-saarland.de/fak7/rieger
Clifford Quantum Cellular Automata (CQCA) are a particularly simple class of Quantum Cellular Automata that can be used for generating entanglement. We are interested in the asymptotics of states under CQCA action, one aspect being entanglement of invariant states. For a special class of CQCA it is possible to obtain these states on the spin chain by employing the Araki Jordan-Wigner transformation between the spin chain and the fermionic chain. In this case we can construct quasi-free states that are invariant under the time evolution of the CQCA.