Universal quantum computation in the surface code using non-Abelian islands
Quantum Physics
2019-07-25 v2 Mesoscale and Nanoscale Physics
Abstract
The surface code is currently the primary proposed method for performing quantum error correction. However, despite its many advantages, it has no native method to fault-tolerantly apply non-Clifford gates. Additional techniques are therefore required to achieve universal quantum computation. Here we propose a hybrid scheme which uses small islands of a qudit variant of the surface code to enhance the computational power of the standard surface code. This allows the non-trivial action of the non-Abelian anyons in the former to process information stored in the latter. Specifically, we show that a non-stabilizer state can be prepared, which allows universality to be achieved.
Cite
@article{arxiv.1811.06738,
title = {Universal quantum computation in the surface code using non-Abelian islands},
author = {Katharina Laubscher and Daniel Loss and James R. Wootton},
journal= {arXiv preprint arXiv:1811.06738},
year = {2019}
}