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Two-dimensional quantum central limit theorem by quantum walks

Keisuke Asahara1,*, Daiju Funakawa2,†, Motoki Seki3,‡, and Akito Suzuki4,§

  • 1Education and Research Center for Mathematical and Data Science, Hokkaido University, Kita 12, Nishi 7, Kita-ku, Sapporo, Hokkaido 060-0812, Japan
  • 2Department of Electronics and Information Engineering, Hokkai-Gakuen University, Sapporo, Hokkaido 062-8605, Japan
  • 3Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060-0810, Japan
  • 4Department of Production Systems Engineering and Sciences, Komatsu University, Awazu Campus, Nu 1-3 Shicho-machi, Komatsu, Ishikawa 923-8511, Japan

  • *Contact author: keisuke-asahara@mdsc.hokudai.ac.jp
  • †Contact author: funakawa@hgu.jp
  • ‡Contact author: marmot.motoki@gmail.com
  • §Contact author: akito.suzuki@komatsu-u.ac.jp

Spectral analysis of three-state quantum walks with general coin matrices

Chusei Kiumi, Jirô Akahori, Takuya Watanabe, and Norio Konno

Phys. Rev. Research 8 023201 (2026)

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