Experimental implementation of a continuous-time quantum random walk on a solid-state quantum information processor<xref rid="cpb_28_11_110302fn1" ref-type="fn">*</xref><fn id="cpb_28_11_110302fn1"><label>*</label><p>Project supported by the National Key Research and Development Program of China (Grant Nos. 2018YFA0306600 and 2016YFB0501603), the National Natural Science Foundation of China (Grant No. 11761131011), the Fund from the Chinese Academy of Sciences (Grant Nos. GJJSTD20170001, QYZDYSSWSLH004, and QYZDB-SSW-SLH005), the Anhui Initiative Fund in Quantum Information Technologies, China (Grant No. AHY050000), and the Youth Innovation Promotion Association of the Chinese Academy of Sciences.</p></fn>

Experimental implementation of a continuous-time quantum random walk on a solid-state quantum information processor**

Project supported by the National Key Research and Development Program of China (Grant Nos. 2018YFA0306600 and 2016YFB0501603), the National Natural Science Foundation of China (Grant No. 11761131011), the Fund from the Chinese Academy of Sciences (Grant Nos. GJJSTD20170001, QYZDYSSWSLH004, and QYZDB-SSW-SLH005), the Anhui Initiative Fund in Quantum Information Technologies, China (Grant No. AHY050000), and the Youth Innovation Promotion Association of the Chinese Academy of Sciences.

Tusun Maimaitiyiming^{1, 2, 3, 4}, Wu Yang^{1, 2, 3}, Liu Wenquan^{1, 2, 3}, Rong Xing^{1, 2, 3, †}, Du Jiangfeng^{1, 2, 3, ‡}

Characterization of the performance of CTRWs on a circle. (a) The probabilities of the particle at node 0 at time t. (b) The total variation distances against time. The blue dashed line is the simulation results of classical CTRW. The grey lines represent simulation results of quantum CTRW considering the decoherence effect and imperfect polarization. Black dots with error bars are experimental results of the quantum CTRW. All the error bars on the data points are the standard deviations from the mean.