Physics & Mathematics · arXiv:2611.08488
Provable circuit-level thresholds for non-abelian topological phases
Authors: Yuanjie Ren, Margarita Davydova, Shankar Balasubramanian, Andreas Bauer (arXiv:2611.08488) · arXiv: 2611.08488
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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.
Step-by-Step Equation & Methodology Breakdown
What is Provable circuit-level thresholds for non-abelian topological phases (arXiv:2611.08488) about?
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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