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arXiv · 2610.33815

Emergent parafermions with tunable localization in a quantum circuit network

D. B. Karki·Andrew K. Mitchell
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Abstract

\noindent Quantum circuit simulators with hybrid metal-semiconductor dots provide a versatile platform to realize Kondo anyons. These arise at critical points driven by frustrated Kondo screening of dot charge degrees of freedom and have been demonstrated experimentally in linear circuits of one or two dots. Here we study a triangular triple dot device, where geometric frustration gives rise to an emergent $\mathbb{Z}_3$ parafermion shared among the three dots. We show that the parafermion can be tunably relocated to any pair of dots by applying gate voltages, and is supported in both the weak-tunneling `Kondo limit' and the strong transmission `quasiballistic' regime. The critical states survive strong coupling to external leads and other dots, establishing the basis for a scalable and reconfigurable network architecture in which non-Abelian excitations can be realized and manipulated.

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D. B. Karki, Andrew K. Mitchell. 2026-10-24. Emergent parafermions with tunable localization in a quantum circuit network. https://arxiv.org/abs/2610.33815

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