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quant-ph2026
Local decoders for fault-tolerant quantum computation and translation-invariant stabilizer codes
Nathaniel Selub, Aditya Bhardwaj, Ethan Lake
We construct the first fully spatially local fault-tolerant quantum computer based on topological codes in fewer than four spatial dimensions. Our construction is a two-dimensional…
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…