Universal topological quantum computing via double-braiding in SU(2) Witten-Chern-Simons theory
Quantum Physics
2025-01-08 v2 Mathematical Physics
math.MP
Quantum Algebra
Abstract
We study the problem of universality in the anyon model described by the Witten-Chern-Simons theory at level . A classic theorem of Freedman-Larsen-Wang states that for , braiding of the anyons of topological charge is universal for topological quantum computing. For the case of one qubit, we prove a stronger result that double-braiding of such anyons alone is already universal.
Keywords
Cite
@article{arxiv.2312.16747,
title = {Universal topological quantum computing via double-braiding in SU(2) Witten-Chern-Simons theory},
author = {Adrian L. Kaufmann and Shawn X. Cui},
journal= {arXiv preprint arXiv:2312.16747},
year = {2025}
}