Twisted Interferometry: the topological perspective
Quantum Physics
2016-12-13 v2 Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Abstract
Three manifold topology is used to analyze the effect of anyonic interferometers in which the probe anyons' path along an arm crosses itself, leading to a "twisted" or braided space-time trajectory for the probe anyons. In the case of Ising non-Abelian anyons, twisted interferometry is shown to be able to generate a topologically protected -phase gate, which cannot be generated from quasiparticle braiding.
Cite
@article{arxiv.1601.08225,
title = {Twisted Interferometry: the topological perspective},
author = {Parsa Bonderson and Lukasz Fidkowski and Michael Freedman and Kevin Walker},
journal= {arXiv preprint arXiv:1601.08225},
year = {2016}
}
Comments
36 pages, 19 figures; this is a companion paper to arXiv:1306.2379, containing concurrent work on the same project done from the topological perspective