@article{b18a84db132549f1ab4142c7b4cb5953,
title = "Eigenvalues of two-state quantumwalks induced by the hadamard walk",
abstract = "Existence of the eigenvalues of the discrete-time quantumwalks 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.",
keywords = "Classification, Discrete-time quantum walks, Eigenvalues, Localization, Stationary measure",
author = "Shimpei Endo and Takako Endo and Takashi Komatsu and Norio Konno",
note = "Funding Information: Acknowledgments: S. Endo acknowledges support from JSPS KAKENHI Grant-in-Aid for Research Activity Start-up 19K21028. T. Endo is supported by financial support of Postdoctoral Fellowship from Japan Society for the Promotion of Science. Publisher Copyright: {\textcopyright} 2020 by the authors.",
year = "2020",
month = jan,
day = "1",
doi = "10.3390/e22010127",
language = "English",
volume = "22",
pages = "127",
journal = "Entropy",
issn = "1099-4300",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "1",
}