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arXiv · 0708.1567

Strings, Projected Entangled Pair States, and variational Monte Carlo methods

Norbert Schuch·Michael M. Wolf·Frank Verstraete·J. Ignacio Cirac
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Abstract

We introduce string-bond states, a class of states obtained by placing strings of operators on a lattice, which encompasses the relevant states in Quantum Information. For string-bond states, expectation values of local observables can be computed efficiently using Monte Carlo sampling, making them suitable for a variational abgorithm which extends DMRG to higher dimensional and irregular systems. Numerical results demonstrate the applicability of these states to the simulation of many-body sytems.

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Norbert Schuch, Michael M. Wolf, Frank Verstraete, J. Ignacio Cirac. 2008-04-04. Strings, Projected Entangled Pair States, and variational Monte Carlo methods. https://doi.org/10.1103/physrevlett.100.040501

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