Strings, Projected Entangled Pair States, and variational Monte Carlo methods
Quantum Physics
2009-11-13 v3 Strongly Correlated Electrons
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.
Cite
@article{arxiv.0708.1567,
title = {Strings, Projected Entangled Pair States, and variational Monte Carlo methods},
author = {Norbert Schuch and Michael M. Wolf and Frank Verstraete and J. Ignacio Cirac},
journal= {arXiv preprint arXiv:0708.1567},
year = {2009}
}
Comments
4 pages. v2: Submitted version, containing more numerical data. Changed title and renamed "string states" to "string-bond states" to comply with PRL conventions. v3: Accepted version, Journal-Ref. added (title differs from journal)