Twisted Interferometry: the topological perspective

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 $\pi /8$-phase gate, which cannot be generated from quasiparticle braiding.

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

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Cited by in corpus (1)

• Signatures of the topological spin of Josephson vortices in topological superconductors