189 citations · 569 across the 89 of their papers we have counts for
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Localization of quantum walks induced by recurrence properties of random walks
Etsuo Segawa
We study a quantum walk (QW) whose time evolution is induced by a random walk (RW) first introduced by Szegedy (2004). We focus on a relation between recurrent properties of the RW…
Time averaged distribution of a discrete-time quantum walk on the path
Yusuke Ide, Norio Konno, Etsuo Segawa
The discrete time quantum walk which is a quantum counterpart of random walk plays important roles in the theory of quantum information theory. In the present paper, we focus on di…
Limit measures of inhomogeneous discrete-time quantum walks in one dimension
Norio Konno, Tomasz Luczak, Etsuo Segawa
We treat three types of measures of the quantum walk (QW) with the spatial perturbation at the origin, which was introduced by [1]: time averaged limit measure, weak limit measure,…
Return probability of one-dimensional discrete-time quantum walks with final-time dependence
Yusuke Ide, Norio Konno, Takuya Machida +1
We analyze final-time dependent discrete-time quantum walks in one dimension. We compute asymptotics of the return probability of the quantum walk by a path counting approach. More…