  In the traditional approach to controlling superconducting qubits using
microwave pulses, the field of pulse shaping has emerged in order to assist in
the removal of leakage and increase gate fidelity. However, the challenge of
scaling microwave control electronics has created an opportunity to explore
alternative methods such as single-flux quantum (SFQ) pulses. For qubits
controlled by SFQ pulses, high fidelity gates can be achieved by optimizing the
binary control sequence. We extend the notion of the derivative removal by
adiabatic gate (DRAG) framework a transmon qubit controlled by SFQ drivers and
propose pulse sequences that can be stored in 22 bits or fewer, with gate
fidelities exceeding 99.99%. This modest memory requirement could help reduce
the footprint of the SFQ coprocessors and power dissipation while preserving
their inherent advantages of scalability and cost-effectiveness.
