Simulation of non-Abelian Anyons using ribbon operators connected to a common base site
Quantum Physics
2015-06-12 v1
Abstract
A convenient and effective way in the quantum double model to study anyons in a topological space with a tensor product structure is to create and braid anyons using ribbon operators connected to a common base site [A. Kitaev Ann.\ Phys. (N.Y.) \textbf{303}, 2 (2003)]. We show how this scheme can be simulated in a physical system by constructing long ribbon operators connected to a base site that is placed faraway. We describe how to move and braid anyons using these ribbon operators, and how to perform measurement on them. We also give the smallest scale of a system that is sufficient for proof-of-principle demonstration of our scheme.
Keywords
Cite
@article{arxiv.1212.5001,
title = {Simulation of non-Abelian Anyons using ribbon operators connected to a common base site},
author = {Xi-wang Luo and Yong-jian Han and Guang-can Guo and Xingxiang Zhou and Zheng-Wei Zhou},
journal= {arXiv preprint arXiv:1212.5001},
year = {2015}
}
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16 pages