摘要
We study a two-dimensional quantum walk with only one walker alternatively walking along the horizontal and vertical directions driven by a single two-side coin.We find the analytical expressions of the first two moments of the walker’s position distribution in the long-time limit,which indicates that the variance of the position distribution grows quadratically with walking steps,showing a ballistic spreading typically for quantum walks.Besides,we analyze the correlation by calculating the quantum mutual information and the measurement-induced disturbance respectively as the outcome of the walk in one dimension is correlated to the other with the coin as a bridge.It is shown that the quantum correlation between walker spaces increases gradually with the walking steps.
作者
林泉
秦豪
王坤坤
肖磊
薛鹏
Quan Lin;Hao Qin;Kun-Kun Wang;Lei Xiao;Peng Xue(Beijing Computational Science Research Center,Beijing 100084,China;Department of Physics,Southeast University,Nanjing 211189,China)
基金
Project supported by the National Natural Science Foundation of China(Grant Nos. 11674056 and U1930402)
the startup fund from Beijing Computational Science Research Center
support from the Project funded by China Postdoctoral Science Foundation(Grant No. 2019M660016)