Effects of imperfect pulses on dynamical decoupling using quantum trajectory method<xref rid="cpb_27_12_120303fn1" ref-type="fn">*</xref><fn id="cpb_27_12_120303fn1"><label>*</label><p>Project supported by the National Basic Research Program of China (Grant No. 2016YFA0301903), the National Natural Science Foundation of China (Grant Nos. 11174370, 11304387, 61632021, 11305262, and 61205108), and the Research Plan Project of the National University of Defense Technology (Grant No. ZK16-03-04).</p></fn>

Effects of imperfect pulses on dynamical decoupling using quantum trajectory method**

Project supported by the National Basic Research Program of China (Grant No. 2016YFA0301903), the National Natural Science Foundation of China (Grant Nos. 11174370, 11304387, 61632021, 11305262, and 61205108), and the Research Plan Project of the National University of Defense Technology (Grant No. ZK16-03-04).

He Lin-Ze^{1, 2, 3}, Zhang Man-Chao^{1, 2, 3}, Wu Chun-Wang^{1, 2, 3}, Xie Yi^{1, 2, 3}, Wu Wei^{1, 2, 3}, Chen Ping-Xing^{1, 2, 3, †}

(color online) Filter functions with various pulse numbers. The filter function has a window of a specific range of frequency while it nearly remains zero in other frequency components, which shows the general effects of noise suppression. When there is no DD pulse, the filter function focuses on the low-frequency range.