Hyperbolic color codes with constant rate and polynomial distance

arXiv:2609.16125 · quant-ph · Submitted 2026-09-14 · Read on arXiv

quant-ph

Submitted: 2026-09-14

Updated: 2026-09-24

Terminology

• CSS Codes — 5× in this paper · explained in 2 episodes
• Distillation — 3× in this paper · explained in 2 episodes
• Anyons — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Proof of a finite threshold for the union-find decoder
• Transversal gates and error propagation in 3D topological codes

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