@phdthesis{oai:soar-ir.repo.nii.ac.jp:02000924,
 author = {田中, 洋平 and TANAKA, Yohei},
 month = {Mar},
 note = {この博士論文は、次の学術雑誌論文を一部に使用しています。 / QUANTUM INFORMATION PROCESSING 20(9) :287(2021); doi:10.1007/s11128-021-03212-y © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2021/ JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 500(1) :125072(2021); doi:10.1016/j.jmaa.2021.125072 © 2021 Elsevier Inc. All rights reserved./ QUANTUM INFORMATION PROCESSING 18(12) :377(2019); doi:10.1007/s11128-019-2485-1 © Springer Science+Business Media, LLC, part of Springer Nature 2019, Thesis, 田中　洋平. On some topological invariants for one-dimensional discrete-time quantum walks with chiral symmetry (カイラル対称性を持つ１次元離散時間量子ウォークの位相不変量). 信州大学, 2022, 博士論文. 博士（理学）, 甲第140号, 令和04年03月20日授与.},
 school = {信州大学(Shinshu university)},
 title = {On some topological invariants for one-dimensional discrete-time quantum walks with chiral symmetry (カイラル対称性を持つ１次元離散時間量子ウォークの位相不変量)},
 year = {2022}
}