Non-Abelian operation through scattering between chiral Dirac edge modes
Mesoscale and Nanoscale Physics
2022-05-25 v2 Quantum Physics
Abstract
We theoretically demonstrate that non-Abelian braiding operation can be realized through the scattering between chiral Dirac edge modes (CDEMs) in quantum anomalous Hall insulators by analytically deriving its S-matrix. Based on the analytical model, we propose a viable device for the experimental realization and detection of the non-Abelian braiding operations. Through investigating the tunneling conductance in a discretized lattice model, the non-Abelian properties of CDEMs could also be verified in a numerical way. Our proposal for the CDEM-based braiding provides a new avenue for realizing topologically protected quantum gates.
Cite
@article{arxiv.2201.03338,
title = {Non-Abelian operation through scattering between chiral Dirac edge modes},
author = {Zhi-Xing Lin and Yijia Wu and X. C. Xie},
journal= {arXiv preprint arXiv:2201.03338},
year = {2022}
}