Considerations of the robustness of a control solution and its application in an experimental scenario

We report general theoretical considerations concerning the robustness of a quantum optimal control solution. The variation of the noise parameters in the system could be a barrier to employing an efficient and stable operation.

Our approach exploits the formulation of the dressed Chopped RAndom Basis algorithm (dCRAB) to remove undesired terms that prevent the reaching of the optimal state or process.

A mix of numerical and analytical calculations shows the relationship between the maximum power, the time, and the bandwidth of the control fields.

We further prove our theoretical studies in NV- and superconducting-based quantum technologies.