Frankfurt 2006 – scientific programme
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Q: Quantenoptik und Photonik
Q 9: Quanteninformation I
Q 9.3: Talk
Monday, March 13, 2006, 14:30–14:45, HI
Approximating ground states with long-range entanglement using weighted graph states — •Simon Anders1, Martin Plenio2, Wolfgang Dür1,3, and Hans J. Briegel1,3 — 1Institut für Theoretische Physik, Universität Innsbruck, Austria — 2Institute for Mathematical Sciences, Imperial College, London, UK — 3Institut für Quantenoptik und Quanteninformation der ÖAW, Innsbruck, Austria
We present a variational method for the approximation of ground states of strongly interacting spin systems in arbritrary geometries and spatial dimensions. The approach is based on so-called deformed weighted graph states and superpositions thereof. These states allow for the efficient computation of all localized observables including the energy. They include states with diverging correlation length and unbounded multi-particle entanglement. As a demonstration, we apply our approach to the Ising model on 1D, 2D and 3D square lattices.