Table 1 Comparison of the error thresholds of (cubic) toric code decoders against phase-flip noise with (\(q=p\)) and without (\(q=0\)) measurement errors. Our results are shown in bold.

From: Cellular automaton decoders for topological quantum codes with noisy measurements and beyond

Decoder

\(q=0\)

\(q=p\)

Neural network49

17.5%

N/A

Renormalization group (RG)50

\(17.2\%\)

\(7.3\%\)

Toom’s rule48

\(14.5\%\)

N/A

Erasure mapping (EM)51

\(12.2\%\)

N/A

Sweep (with direction change)

15.5%

1.7%

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