The properties of the two-dimensional quantum walk with point, line, and circle disorders in phase are reported.Localization is observed in the two-dimensional quantum walk with certain phase disorder and specific ini...The properties of the two-dimensional quantum walk with point, line, and circle disorders in phase are reported.Localization is observed in the two-dimensional quantum walk with certain phase disorder and specific initial coin states.We give an explanation of the localization behavior via the localized stationary states of the unitary operator of the walker+ coin system and the overlap between the initial state of the whole system and the localized stationary states.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant No.11174052)the National Basic Research Program of China(Grant No.2011CB921203)the Open Fund from the State Key Laboratory of Precision Spectroscopy of East China Normal University
文摘The properties of the two-dimensional quantum walk with point, line, and circle disorders in phase are reported.Localization is observed in the two-dimensional quantum walk with certain phase disorder and specific initial coin states.We give an explanation of the localization behavior via the localized stationary states of the unitary operator of the walker+ coin system and the overlap between the initial state of the whole system and the localized stationary states.