Fig. 2: Optimal state-value function for single qubit state preparation.
From: Quantum logic gate synthesis as a Markov decision process
Optimal value landscape across the Bloch sphere using the gates {I, H, T} and goal state \(\left\vert 0\right\rangle\) (red shaded). The color of the state indicates the value of \({V}_{{\pi }^{* }}\), where a brighter color indicates a higher value. In other words, these states are in some sense closer to the target state. Note that patches along the equator have a high value because a single H gate is sufficient to reach the target state.
