Fig. 4: Comparison of various decoders guided by belief propagation for decoding rotated surface codes of distance d subject to circuit-level depolarizing noise parameterized by a single parameter, called the physical error rate p, see Section IV C for details. | Nature Communications

Fig. 4: Comparison of various decoders guided by belief propagation for decoding rotated surface codes of distance d subject to circuit-level depolarizing noise parameterized by a single parameter, called the physical error rate p, see Section IV C for details.

From: Localized statistics decoding for quantum low-density parity-check codes

Fig. 4

We use Stim to perform a surface_code:rotated_memory_z experiment for d syndrome extraction cycles with single and two-qubit error probabilities p. a The performance of BP+OSD-0 that matches the performance of the proposed decoder. b The performance of a BeliefFind decoder that shares a cluster growth strategy with the proposed decoder. c Performance of the proposed BP+LSD decoder. The shading indicates hypotheses whose likelihoods are within a factor of 1000 of the maximum likelihood estimate, similar to a confidence interval.

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