Exploiting Anyonic Behavior of Quasicrystals for Topological Quantum Computing
Quantum Physics
2022-09-01 v1 Materials Science
Abstract
We show that quasicrystals exhibit anyonic behavior that can be used for topological quantum computing. In particular, we study a correspondence between the fusion Hilbert spaces of the simplest non-abelian anyon, the Fibonacci anyons, and the tiling spaces of a class of quasicrystals, which includes the one dimensional Fibonacci chain and the two dimensional Penrose tiling. A possible encoding on tiling spaces of topological quantum information processing is also discussed.
Cite
@article{arxiv.2207.08928,
title = {Exploiting Anyonic Behavior of Quasicrystals for Topological Quantum Computing},
author = {Marcelo Amaral and David Chester and Fang Fang and Klee Irwin},
journal= {arXiv preprint arXiv:2207.08928},
year = {2022}
}