189 citations · 1.9k across the 148 of their papers we have counts for
5 papers · 2 filters
How does Grover walk recognize the shape of crystal lattice?
Chul Ki Ko, Norio Konno, Etsuo Segawa +1
We consider the support of the limit distribution of the Grover walk on crystal lattices with the linear scaling. The orbit of the Grover walk is denoted by the parametric plot of…
Stationary measure for two-state space-inhomogeneous quantum walk in one dimension
Hikari Kawai, Takashi Komatsu, Norio Konno
We consider the two-state space-inhomogeneous coined quantum walk (QW) in one dimension. For a general setting, we obtain the stationary measure of the QW by solving the eigenvalue…
A spectral analysis of discrete-time quantum walks related to the birth and death chains
Choon-Lin Ho, Yusuke Ide, Norio Konno +2
In this paper, we consider a spectral analysis of discrete time quantum walks on the path. For isospectral coin cases, we show that the time averaged distribution and stationary di…
Stationary amplitudes of quantum walks on the higher-dimensional integer lattice
Takashi Komatsu, Norio Konno
Stationary measures of quantum walks on the one-dimensional integer lattice are well studied. However, the stationary measure for the higher dimensional case has not been clarified…
Stationary measures of three-state quantum walks on the one-dimensional lattice
Hikari Kawai, Takashi Komatsu, Norio Konno
In this paper, we consider stationary measures of discrete-time three-state quantum walks including the Fourier and Grover walks in the one-dimensional lattice. We give non-uniform…