Düsseldorf 2007 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 41: Quanteninformation (Konzepte II)

Q 41.7: Vortrag

Mittwoch, 21. März 2007, 15:30–15:45, 5L

Simulating time evolution with tensor trees — •Robert Hübener — Österreichische Akademie der Wissenschaften, IQOQI, Innsbruck, Austria

A possible extension of the matrix product state (MPS) formalism has recently been proposed by Vidal, Shi, Markov and Duan. Instead of a flat hierarchy of matrices, a tree tensor-network (TTN) is used to describe a state. A major advantage of this approach is the emergence of long-range and large block-wise entanglement, which is known to be suppressed for MPSs.

Our group is implementing this idea in numerical simulations of strongly correlated systems, including 1D systems with long-range couplings and 2D/3D systems. We combine this approach with our recent proposal to use weighted graph states as variational states. Since graph states incorporate long-range and large block-wise entanglement, the idea of the unification of a tree tensor-state with a graph state might improve this aspect of the simulation even further.

Applications of this formalism include the simulation of (imaginary) time evolution and the search for ground states of strongly correlated systems.