Universal topological phase of 2D stabilizer codes
Quantum Physics
2015-05-27 v1 Strongly Correlated Electrons
High Energy Physics - Theory
Abstract
Two topological phases are equivalent if they are connected by a local unitary transformation. In this sense, classifying topological phases amounts to classifying long-range entanglement patterns. We show that all 2D topological stabilizer codes are equivalent to several copies of one universal phase: Kitaev's topological code. Error correction benefits from the corresponding local mappings.
Keywords
Cite
@article{arxiv.1103.4606,
title = {Universal topological phase of 2D stabilizer codes},
author = {H. Bombin and Guillaume Duclos-Cianci and David Poulin},
journal= {arXiv preprint arXiv:1103.4606},
year = {2015}
}
Comments
4 pages, 3 figures