The Effect of Quantum Coins on the Spreading of Binary Disordered Quantum Walk

【摘要】 The dynamical and static disordered quantum walks were extensively studied recently.It is found that,for the dynamical disorder case,the transport behavior of particles is diffusive,and for the static disorder case the transport behavior is localized.In this work,we study the effect of quantum coins on the transport behaviors of the binary disordered quantum walks.We find that once the coins satisfy certain conditions,the sub-ballistic spreading could be found in binary dynamical disorder quantum walks,and the sub-ballistic,diffusive and subdiffusive spreadings could be found in binary static disorder quantum walks.We obtain the necessary conditions for those abnormal diffusive behaviors.更多还原

【Abstract】 The dynamical and static disordered quantum walks were extensively studied recently.It is found that,for the dynamical disorder case,the transport behavior of particles is diffusive,and for the static disorder case the transport behavior is localized.In this work,we study the effect of quantum coins on the transport behaviors of the binary disordered quantum walks.We find that once the coins satisfy certain conditions,the sub-ballistic spreading could be found in binary dynamical disorder quantum walks,and the sub-ballistic,diffusive and subdiffusive spreadings could be found in binary static disorder quantum walks.We obtain the necessary conditions for those abnormal diffusive behaviors.更多还原