Figure 7: Linear fitting used to determine α and β.
From: Fault-tolerant error correction with the gauge color code

Plot shows the available data fitted to the trend anticipated in equation (8). The figure shows the logarithm of the gradients found in Fig. 6, log g(d), plotted as a function of the logarithm of the code distance, log d, for the case where N=8. Error bars show the s.e.m., evaluated using the LinearModelFit function in Mathematica. For this case we obtain a fitting log g(d)≈0.81 log d−0.63, as is shown in the plot.