Figure 2
Decay channel (“Decay channel” section): Control error scaling with respect to the maximum bandwidth \(\Delta \Omega \). The control error \(\varepsilon \) is reduced when a higher bandwidth allows faster transitions between the two states. The figure shows the maximal control error over 100 random instances of input and target states (blue squares). If the bandwidth is too low, then we do not have any control over the quantum system and the maximal error is given by the form of the error function (in our case \(\varepsilon \in [0,1]\)). Then, we fit the remaining data points (grey solid line, ’fit’) with the error model of Eq. (61), as described in the text, with \(a_1=0.51\), \(b_1=0.039\) and \(c_1=0.098\).
