The compiling of quantum gates is crucial for the successful quantum
algorithm implementations. The environmental noise as well as the bandwidth of
control pulses pose a challenge to precise and fast qubit control, especially
in a weakly anharmonic system. In this work, we propose an algorithm to
approximately compile single-qubit gates with arbitrary accuracy. Evaluation
results show that the overall rotation distance generated by our algorithm is
significantly shorter than the commonly used U3 gate, then the gate time can
be effectively shortened. The requisite number of pulses and the runtime of
scheme design scale up as O[Log(1/ϵ)] with very
small prefactors, indicating low overhead costs. Moreover, we explore the
trade-off between effectiveness and cost, and find a balance point. In short,
our work opens a new avenue for efficient quantum algorithm implementations
with contemporary quantum technology.Comment: 5 pages, 2 figure