189 citations · 1.9k across the 148 of their papers we have counts for
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math-ph2013
The uniform measure for discrete-time quantum walks in one dimension
Norio Konno
We obtain the uniform measure as a stationary measure of the one-dimensional discrete-time quantum walks by solving the corresponding eigenvalue problem. As an application, the uni…
math-ph2013★ 9 cited
Localization of discrete time quantum walks on the glued trees
Yusuke Ide, Norio Konno, Etsuo Segawa +1
In this paper, we consider the time averaged distribution of discrete time quantum walks on the glued trees. In order to analyse the walks on the glued trees, we consider a reducti…
math-ph2013★ 2 cited
One-dimensional quantum walks via generating function and the CGMV method
Norio Konno, Etsuo Segawa
We treat a quantum walk (QW) on the line whose quantum coin at each vertex tends to be the identity as the distance goes to infinity. We obtain a limit theorem that this QW exhibit…