Exact entanglement renormalization for string-net models Export

@misc{citeulike:2946522, abstract = {We construct an explicit renormalization group (RG) transformation for Levin and Wen's string-net models on a hexagonal lattice. The transformation leaves invariant the ground-state "fixed-point" wave function of the string-net condensed phase. Our construction also produces an exact representation of the wave function in terms of the multi-scale entanglement renormalization ansatz (MERA). This sets the stage for efficient numerical simulations of string-net models using MERA algorithms. It also provides an explicit quantum circuit to prepare the string-net ground-state wave function using a quantum computer.}, archivePrefix = {arXiv}, author = {Koenig, Robert and Reichardt, Ben W. and Vidal, Guifre}, citeulike-article-id = {2946522}, citeulike-linkout-0 = {http://arxiv.org/abs/0806.4583}, citeulike-linkout-1 = {http://arxiv.org/pdf/0806.4583}, day = {27}, eprint = {0806.4583}, keywords = {topological, wen}, month = {Jun}, posted-at = {2009-02-05 16:31:59}, priority = {2}, title = {Exact entanglement renormalization for string-net models}, url = {http://arxiv.org/abs/0806.4583}, year = {2008} }

TY - ELEC ID - citeulike:2946522 L3 - citeulike-article-id:2946522 N2 - We construct an explicit renormalization group (RG) transformation for Levin and Wen's string-net models on a hexagonal lattice. The transformation leaves invariant the ground-state "fixed-point" wave function of the string-net condensed phase. Our construction also produces an exact representation of the wave function in terms of the multi-scale entanglement renormalization ansatz (MERA). This sets the stage for efficient numerical simulations of string-net models using MERA algorithms. It also provides an explicit quantum circuit to prepare the string-net ground-state wave function using a quantum computer. TI - Exact entanglement renormalization for string-net models KW - topological KW - wen AU - Koenig, Robert AU - Reichardt, Ben AU - Vidal, Guifre PY - 2008/Jun/27/ UR - http://arxiv.org/abs/0806.4583 ER -