Universal quantum computation with a non-Abelian topological memory
Quantum Physics
2010-10-04 v2
Abstract
An explicit lattice realization of a non-Abelian topological memory is presented. The correspondence between logical and physical states is seen directly by use of the stabilizer formalism. The resilience of the encoded states against errors is studied and compared to that of other memories. A set of non-topological operations are proposed to manipulate the encoded states, resulting in universal quantum computation. This work provides insight into the non-local encoding non-Abelian anyons provide at the microscopical level, with an operational characterization of the memories they provide.
Cite
@article{arxiv.0906.2748,
title = {Universal quantum computation with a non-Abelian topological memory},
author = {James R. Wootton and Ville Lahtinen and Jiannis K. Pachos},
journal= {arXiv preprint arXiv:0906.2748},
year = {2010}
}
Comments
11 pages, 3 figures, presented at the 4th workshop on Theory of Quantum Computation, Communication and Cryptography, 2009