Berlin 2005 – scientific programme

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Q: Quantenoptik und Photonik

Q 34: Quanteninformation I

Q 34.2: Talk

Tuesday, March 8, 2005, 12:15–12:30, HU Audimax

Gaussian Quantum Cellular Automata — •Ole Krüger and Reinhard F. Werner — Institut für Mathematische Physik, TU Braunschweig, www.imaph.tu-bs.de/qi

Quantum cellular automata are a promising candidate for quantum information processing tasks. One physical implementation might be by means of vibrational degrees of freedom in an optical lattice. We consider such continuous variable quantum cellular automata focusing on Gaussian states and quasi-free evolution. The translation invariant, pure Gaussian states on the lattice are characterized in terms of a Fourier transform of the correlation function. We investigate their evolution under the dynamics of the automaton, their properties in the limit of large time, the generation of entanglement and the ability to simulate ground states of other systems.