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quant-ph2026
Proof of a finite threshold for the union-find decoder
Satoshi Yoshida, Ethan Lake, Hayata Yamasaki
Fast decoders that achieve strong error suppression are essential for fault-tolerant quantum computation (FTQC) from both practical and theoretical perspectives. The union-find (UF…
quant-ph2025
Local active error correction from simulated confinement
Ethan Lake
We refine an old idea for performing fault-tolerant error correction in topological codes by simulating confining interactions between excitations. We implement confinement using a…
quant-ph2025
Fast offline decoding with local message-passing automata
Ethan Lake
We present a local offline decoder for topological codes that operates according to a parallelized message-passing framework. The decoder works by passing messages between anyons,…