Title
Eigenvalues of Two-State Quantum Walks Induced by the Hadamard Walk.
Abstract
Existence of the eigenvalues of the discrete-time quantum walks is deeply related to localization of the walks. We revealed, for the first time, the distributions of the eigenvalues given by the splitted generating function method (the SGF method) of the space-inhomogeneous quantum walks in one dimension we had treated in our previous studies. Especially, we clarified the characteristic parameter dependence for the distributions of the eigenvalues with the aid of numerical simulation.
Year
DOI
Venue
2020
10.3390/e22010127
ENTROPY
Keywords
Field
DocType
discrete-time quantum walks,eigenvalues,localization,stationary measure,classification
Statistical physics,Generating function,Mathematical optimization,Computer simulation,Quantum walk,Hadamard transform,Mathematics,Eigenvalues and eigenvectors
Journal
Volume
Issue
ISSN
22
1
1099-4300
Citations 
PageRank 
References 
1
0.41
0
Authors
4
Name
Order
Citations
PageRank
Shimpei Endo151.00
Takako Endo210.41
Takashi Komatsu311333.96
Norio Konno412529.90