# Density Matrix Renormalization Group (DMRG) Simulation of a String-Net Model

In the following paper, Dr. Xiao Gang-Wen et. al. introduce the idea that string-net condensed states can be represented in terms of tensor product states:

http://arxiv.org/pdf/0809.2821.pdf

The authors mention the usefulness of DMRG for the study of 1D systems described by TPS, but I would like to know more of the details. How, exactly, would the algorithm proceed for, say, an N=1 string-net model of a spin-1/2 honeycomb lattice? Would it be exceedingly difficult to implement?