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Using the cutting edge of matrix product state techniques to slice infinitely large entangled systems down to size

Gregory Crosswhite, University of Washington, Department of Physics

(Session 3 : Friday from 15:00-15:30)

Abstract. The numerical simulation of quantum systems is inherently very difficult because the presence of entanglement means that one is faced with a state space exponentially large with respect to the number of particles. The only hope one has to get around this is to employ a clever form of representation that approximates quantum states of interest adequately while remaining small enough to be tractable. Matrix product states have garnered much interest over the past decade because they have these properties. In particular, matrix product states make an excellent ansatz for using the variational method to determine properties of the ground state. In my talk, I shall present an algorithm which uses a local direct variational optimization algorithm to obtain a translationally invariant representation of ground states for infinitely large one-dimensional systems.