189 citations · 1.9k across the 148 of their papers we have counts for
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Spectral Properties of the Threshold Network Model
Yusuke Ide, Norio Konno, Nobuaki Obata
We study the spectral distribution of the threshold network model.The results contain an explicit description and its asymptotic behaviour.
Quantum walks and elliptic integrals
Norio Konno
Polya showed in his 1921 paper that the generating function of the return probability for a two-dimensional random walk can be written in terms of an elliptic integral. In this pap…
Localization of an inhomogeneous discrete-time quantum walk on the line
Norio Konno
We investigate a space-inhomogeneous discrete-time quantum walk in one dimension. We show that the walk exhibits localization by a path counting method.
One-dimensional discrete-time quantum walks on random environments
Norio Konno
We consider discrete-time nearest-neighbor quantum walks on random environments in one dimension. Using the method based on a path counting, we present both quenched and annealed w…
Limit theorems for discrete-time quantum walks on trees
Kota Chisaki, Masatoshi Hamada, Norio Konno +1
We consider a discrete-time quantum walk W_t given by the Grover transformation on the Cayley tree. We reduce W_t to a quantum walk X_t on a half line with a wall at the origin. Th…
Orthogonal polynomials induced by discrete-time quantum walks in one dimension
Masatoshi Hamada, Norio Konno, Wojciech Mlotkowski
In this paper we obtain some properties of orthogonal polynomials given by a weight function which is a limit density of a rescaled discrete-time quantum walk on the line.