Figure 5: Gauge color code threshold error rates plotted as a function of the number of error-correction cycles.
From: Fault-tolerant error correction with the gauge color code

Threshold error rates, pth, are calculated with system sizes L=23, 29, 35 after N error-correction cycles using η∼104 Monte Carlo samples. Error bars show the standard error of the mean which are determined using the NonLinearModelFit function in Mathematica. The solid blue line shows the fitting given in equation (3). The dashed red line marks psus∼0.31%, the sustainable noise rate of the code, the limiting value of pth from to the fitting as N→∞.