Fig. 5: Below threshold logical error rate pL of a family of [[25s2, s2]] constant-rate hypergraph product codes decoded with the BP+LSD decoder.
From: Localized statistics decoding for quantum low-density parity-check codes
We simulate Nc = 12 rounds of syndrome extraction cycles under circuit-level noise with physical error rate p and apply a (3, 1)-overlapping window technique to enable fast and accurate single-shot decoding, see Methods for details. The shading indicates hypotheses whose likelihoods are within a factor of 1000 of the maximum likelihood estimate, similar to a confidence interval. Dashed lines are an exponential fit with a linear exponent to the numerically observed error rates.
