Provable circuit-level thresholds for non-abelian topological phases

Yuanjie Ren; Margarita Davydova; Shankar Balasubramanian; Andreas Bauer

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arXiv · 2611.08488

Provable circuit-level thresholds for non-abelian topological phases

Yuanjie Ren·Margarita Davydova·Shankar Balasubramanian·Andreas Bauer

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Abstract

We provide an explicit scheme to realize a quantum memory in any 2D non-chiral topological order. For this, we construct syndrome extraction circuits based on the Turaev-Viro path integral as well as a classical algorithm for decoding on the fly. We prove that our scheme has a threshold under a local stochastic circuit-level noise model and discuss how to generalize it to implement topological logical gates.

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Yuanjie Ren, Margarita Davydova, Shankar Balasubramanian, Andreas Bauer. 2026-11-05. Provable circuit-level thresholds for non-abelian topological phases. https://arxiv.org/abs/2611.08488

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