Twisted Interferometry: the topological perspective

Parsa Bonderson; Lukasz Fidkowski; Michael Freedman; Kevin Walker

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arXiv · 1601.08225

Twisted Interferometry: the topological perspective

Parsa Bonderson·Lukasz Fidkowski·Michael Freedman·Kevin Walker

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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.

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Parsa Bonderson, Lukasz Fidkowski, Michael Freedman, Kevin Walker. 2016-01-29. Twisted Interferometry: the topological perspective. https://arxiv.org/abs/1601.08225

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