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arXiv · 1704.03241

Measurement and control of a Coulomb-blockaded parafermion box

Kyrylo Snizhko·Reinhold Egger·Yuval Gefen
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Abstract

Parafermionic zero modes are fractional topologically protected quasiparticles expected to arise in various platforms. We show that Coulomb charging effects define a parafermion box with unique access options via fractional edge states and/or quantum antidots. Basic protocols for the detection, manipulation, and control of parafermionic quantum states are formulated. With those tools, one may directly observe the dimension of the zero-mode Hilbert space, prove the degeneracy of this space, and perform on-demand digital operations satisfying a parafermionic algebra.

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Kyrylo Snizhko, Reinhold Egger, Yuval Gefen. 2018-02-17. Measurement and control of a Coulomb-blockaded parafermion box. https://doi.org/10.1103/physrevb.97.081405

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