[1] D. Aharonov, A. Ambainis, J. Kempe and U. V. Vazirani (2001), Quantum walks on graphs, Proc. of the 33rd Annual ACM Symposium on Theory of Computing, pp.50-59
[2] M. Asano, T. Komatsu, N. Konno and A. Narimatsu (2020), The Fourier and Grover walks on the two-dimensional lattice and torus, Yokohama Mathematical Journal, 65, pp.13-32
[3] T. Endo, H. Kawai and N. Konno (2017), Stationary measures of three-state quantum walks on the one-dimensional lattice, Yokohama Mathematical Journal, 63, pp.59-74
[4] N. Inui, N. Konno and E. Segawa (2005), One-dimensional three-state quantum walk, Phys. Rev. E, 72, 056112
[5] T. Kitagawa (2012), Topological phenomena in quantum walks: elementary intro- duction to the physics of topological phases, Quantum Inf. Process., 11, pp.1107- 1148
[6] T. Komatsu and N. Konno (2017), Stationary amplitudes of quantum walks on the higher-dimensional integer lattice, Quantum Inf. Process., 16, 291
[7] T. Komatsu and T. Tate (2019), Eigenvalues of quantum walks of Grover and Fourier types, J. Fourier Anal. Appl., 25, pp.1293-1318
[8] N. Konno (2002), Quantum random walks in one dimension, Quantum Inf. Pro- cess., 1, pp.345-354
[9] N. Konno (2005), A new type of limit theorems and absorption problems for quantum random walks in one dimension, J. Math. Soc. Jpn., 2, pp.578-595
[10] N. Konno (2008), Quantum Walks, Lecture Notes in Mathematics, 1954, pp.309- 452, Springer
[11] N. Konno and S. Takahashi (2020), On the support of the Grover walk on higher- dimensional lattices, Yokohama Mathematical Journal, 66, pp.79-94
[12] L. Matsuoka, T. Kasajima, M. Hashimoto and K. Yokoyama (2011), Numerical study on quantum walks implemented on the cascade rotational transitions in a diatomic molecule, J. Korean Phys. Soc., 59, pp.2897-2900
[13] A. Narimatsu (2021), Localization does not occur for the Fourier walk on the multi-dimensional lattice, Quantum Inf. Compt. 21 5&6, pp.387-394
[14] A. Narimatsu, H. Ohno, K. Wada (2021), Unitary equivalence classes of split-step quantum walks, Quantum Inf. Process., 20, 368
[15] R. Portugal (2018), Quantum Walks and Search Algorithms, second edition,Springer
[16] M. Stefanak, B. Kollar, T. Kiss and I. Jex (2010), Full revivals in 2D quantum walks, Physical Scripta, 2010, T140
[17] T. Tate (2019), Eigenvalues, absolute continuity and localizations for periodic unitary transition operators, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 22, 1950011
[18] K. Watabe, N. Kobayashi, M. Katori and N. Konno (2008), Limit distributions of two-dimensional quantum walks, Phys. Rev. A, 77, 062331
[19] 今野紀雄 (2014),量子ウォーク,森北出版
[20] 今野紀雄,井手勇介 (2019),量子ウォークの新展開,培風館