Simulation of the influence of imperfections on dynamical decoupling of a superconducting qubit

Zhang Ying-Shan^{1, 2, 3}, Liu Jian-She^{1, 2, 3}, Zhao Chang-Hao^{1, 2, 3}, He Yong-Cheng^{1, 2, 3}, Xu Da^{1, 2, 3}, Chen Wei^{1, 2, 3, †}

Simulation of qubit evolution under CP decoupling pulses. (a) Above are qubit control (blue) and measurement (green) pulses for N_DD = 1 with 1/f noise (purple). Below is the corresponding qubit evolution on Bloch sphere. Left to right: initial 0 state, dephasing during the first t_DD/2, decoupling during the second t_DD/2, final state deviated from 0 because of dephasing; (b) Qubit evolution with time for different N_DD and corresponding linear fitting curves. Each point is an average of 100 times of simulation.