Düsseldorf 2007 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 38: Quanteninformation (Konzepte I)

Q 38.1: Talk

Wednesday, March 21, 2007, 12:00–12:15, 5L

Quantum simulations under translational symmetry — •Christina Kraus, Michael Wolf, and Ignacio Cirac — Max-Planck-Institut für Quantenoptik, Garching

We investigate the power of quantum systems for the simulation of Hamiltonian time evolutions on a cubic lattice under the constraint of translational invariance. Given a set of translationally invariant local Hamiltonians and short range interactions we determine time evolutions which can and those that can not be simulated. Whereas for general spin systems no finite universal set of generating interactions is shown to exist, universality turns out to be generic for quadratic bosonic and fermionic nearest-neighbor interactions when supplemented by all translationally invariant on-site Hamiltonians.