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

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

2007-08-12

arxiv.org/abs/0708.1567v3

Phys. Rev. Lett. 100, 040501 (2008)

Physics

Quantum Physics

4 pages. v2: Submitted version, containing more numerical data. Changed title and renamed "string states" to "string-bond stat

Scientific paper

10.1103/PhysRevLett.100.040501

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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