Fig. 4: Relation between sequence length and tolerance.
Each data point is obtained by averaging the length of the approximating sequence of gates found by a trained agent using a validation set of 107 unitary targets. The error bars report the standard deviation. The agent was trained to achieve a final tolerance of 0.9999 average gate fidelity (AGF). The targets are built as compositions of small rotations around the three axes of the Bloch sphere, as described in Supplementary Note 3.1. The data are fitted by a polylogarithmic function (dashed blue line) with R2 = 0.986 and RMSE = 0.26.
