Équipe de Recherche en Physique de l'Information Quantique


Abstract = {While topological quantum computation is intrinsically fault-tolerant at zero temperature, it looses its topological protection at any finite temperature. We present a scheme to protect the information stored in a system supporting non-cyclic anyons against thermal and measurement errors. The correction procedure builds on the work of G'acs cite{Gacs_86} and Harrington cite{Harrington_04} and operates as a local cellular automaton. In contrast to previously studied schemes, our scheme is valid for both abelian and non-abelian anyons and accounts for measurement errors. We prove the existence of a fault-tolerant threshold and numerically simulate the procedure for a system of Ising anyons. The result of our simulations are consistent with a threshold between $10^{-4}$ and $10^{-3}$.},
Author = {Guillaume Dauphinais and David Poulin},
Eprint = {arXiv:1607.02159},
Journal = {Comm. Math. Phys.},
Pages = {519},
Title = {Fault-Tolerant Quantum Error Correction for non-Abelian Anyons},
Volume = {355},
Year = {2017},
local-url = {DP16a.pdf}}