An example method for facilitating the generation of a control field for a quantum system is provided. The example method may include receiving quantum system experiment input parameters and generating a set of coefficients defining a plurality of controls. The plurality of controls may be provided as a weighted sum of basis functions that include discrete prolate spheroidal sequences. The example method may further include applying a gradient based optimization, synthesizing the plurality of controls, and configuring a waveform generator with the plurality of controls to enable the waveform generator to generate the control field.
