Figure 4

Improving the performance of the sweep decoder applied to the toric code on the rhombic dodecahedral lattice (with boundaries) by applying the rule multiple times per syndrome measurement. We set \(\alpha = q / p = 1\) and we fix \(N=2^{10}\) error correction cycles. We plot the logical error rate \(p_{\mathrm L}\) as a function of p for different linear lattice sizes L. We applied the rule three times per syndrome measurement and we observe an error threshold of \(p_{\mathrm{th}} \approx 3.2\%\), an improvement of over the corresponding error threshold of \(p_{\mathrm{th}} \approx 2.17\%\) when we applied the rule once per syndrome measurement (see the inset of Fig. 1a). We use \(10^4\) Monte Carlo samples for each point.