189 citations · 1.9k across the 148 of their papers we have counts for
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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…
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…
The stationary measure of a space-inhomogeneous quantum walk on the line
Takako Endo, Norio Konno
We study a discrete-time quantum walk (QW) on the line with a single phase at the origin which was introduced and studied by Wojcik et al.[1]. We call the model "Wojcik model" here…
Self-avoiding quantum walks: realisations in subspaces and limit theorems
Takuya Machida, C. M. Chandrashekar, Norio Konno +1
While completely self-avoiding quantum walks have the distinct property of leading to a trivial unidirectional transport of a quantum state, an interesting and non-trivial dynamics…
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…
Co-evolution of networks and quantum dynamics: a generalization of preferential attachment
Vincenzo Nicosia, Takuya Machida, Richard Wilson +4
We propose a model of network growth in which the network is co-evolving together with the dynamics of a quantum mechanical system, namely a quantum walk taking place over the netw…
Combinatorial and approximative analyses in a spatially random division process
Yukio Hayashi, Takayuki Komaki, Yusuke Ide +2
For a spatial characteristic, there exist commonly fat-tail frequency distributions of fragment-size and -mass of glass, areas enclosed by city roads, and pore size/volume in rando…