MACHIDA Takuya

Department of Liberal Arts and Basic SciencesAssociate Professor

Researcher Information

Degree

  • 修士（工学）, 横浜国立大学, Mar. 2007
  • 博士（工学）, 横浜国立大学, Mar. 2010

Research Keyword

  • Limit theorem
  • Probability distribution
  • Quantum walks

Field Of Study

  • Natural sciences, Basic mathematics, Foundations of mathematics/Applied mathematics
  • Natural sciences, Applied mathematics and statistics, Foundations of mathematics/Applied mathematics

Career

  • Apr. 2022 - Present
    Nihon University, College of Industrial Technology, Associate Professor
  • Apr. 2019 - Mar. 2022
    日本大学, College of Industrial Technology, Assistant professor
  • Apr. 2016 - Mar. 2019
    日本大学, College of Industrial Technology, Assistant professor
  • 01 Apr. 2013 - 31 Mar. 2016
    日本学術振興会, 特別研究員PD
  • Apr. 2015 - Mar. 2016
    横浜国立大学, 理工学部・工学部, 非常勤講師（線形代数学）
  • Apr. 2013 - Mar. 2016
    日本学術振興会, 特別研究員PD
  • Aug. 2013 - Jan. 2015
    University of California, Berkeley, Department of Mathematics, Postdoctoral Scholar
  • Apr. 2012 - Mar. 2013
    横浜国立大学, 理工学部・工学部, 非常勤講師（線形代数学）
  • Apr. 2012 - Mar. 2013
    明治大学, 研究・知財戦略機構, 研究推進員（ポストドクター）
  • Apr. 2010 - Mar. 2012
    明治大学, 研究・知財戦略機構, 研究推進員（科学技術振興機構さきがけ研究補助者）
  • Apr. 2008 - Jul. 2008
    神奈川産業技術短期大学校, 情報技術科, 非常勤講師（離散数学）

Educational Background

  • Apr. 2007 - Mar. 2010
    横浜国立大学大学院, 工学府, システム統合工学専攻
  • Apr. 2005 - Mar. 2007
    横浜国立大学大学院, 工学府, システム統合工学専攻
  • Apr. 2001 - Mar. 2005
    横浜国立大学, 工学部, 生産工学科
Research activity information

Paper

  • Limit distribution of a continuous-time quantum walk with a spatially 2-periodic Hamiltonian
    Takuya Machida
    Quantum Information Processing, Sep. 2023, Refereed, Not invited
    Lead
  • Phase transition of an open quantum walk
    Takuya Machida
    International Journal of Quantum Information, 2021, Refereed, Not invited
    Lead
  • A limit distribution for a quantum walk driven by a five-diagonal unitary matrix
    Takuya Machida
    Quantum Information and Computation, 2021, Refereed, Not invited
    Lead
  • Limit distribution of a time-dependent quantum walk on the half line
    Takuya Machida
    Quantum Information Processing, 2020, Refereed, Not invited
    Lead
  • A limit theorem for a splitting distribution of a quantum walk
    Takuya Machida
    International Journal of Quantum Information, 2018, Refereed, Not invited
    Lead
  • Some limit laws for quantum walks with applications to a version of the Parrondo paradox
    Takuya Machida and F. Alberto Grunbaum
    Quantum Information Processing, 2018, Refereed, Not invited
    Lead
  • Turing instability in reaction-diffusion models on complex networks
    Yusuke Ide; Hirofumi Izuhara; Takuya Machida
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, Sep. 2016, Refereed, Not invited
  • A quantum walk on the half line with a particular initial state
    Takuya Machida
    QUANTUM INFORMATION PROCESSING, Aug. 2016, Refereed, Not invited
    Lead
  • A LOCALIZED QUANTUM WALK WITH A GAP IN DISTRIBUTION
    Takuya Machida
    QUANTUM INFORMATION & COMPUTATION, Apr. 2016, Refereed, Not invited
    Lead
  • Localization and limit laws of a three-state alternate quantum walk on a two-dimensional lattice
    Takuya Machida; C. M. Chandrashekar
    PHYSICAL REVIEW A, Dec. 2015, Refereed, Not invited
    Lead
  • A limit law of the return probability for a quantum walk on a hexagonal lattice
    Takuya Machida
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, Oct. 2015, Refereed, Not invited
    Lead
  • LIMIT DISTRIBUTIONS FOR DIFFERENT FORMS OF FOUR-STATE QUANTUM WALKS ON A TWO-DIMENSIONAL LATTICE
    Takuya Machida; C. M. Chandrashekar; Norio Konno; Thomas Busch
    QUANTUM INFORMATION & COMPUTATION, Oct. 2015, Refereed, Not invited
    Lead
  • Trapping and spreading properties of quantum walk in homological structure
    Takuya Machida; Etsuo Segawa
    QUANTUM INFORMATION PROCESSING, May 2015, Refereed, Not invited
  • LIMIT THEOREMS OF A 3-STATE QUANTUM WALK AND ITS APPLICATION FOR DISCRETE UNIFORM MEASURES
    Takuya Machida
    QUANTUM INFORMATION & COMPUTATION, Apr. 2015, Refereed, Not invited
    Lead
  • A LIMIT THEOREM FOR A 3-PERIOD TIME-DEPENDENT QUANTUM WALK
    F. Alberto Gruenbaum; Takuya Machida
    QUANTUM INFORMATION & COMPUTATION, Jan. 2015, Refereed, Not invited
    Lead
  • Co-evolution of networks and quantum dynamics: a generalization of preferential attachment
    Vincenzo Nicosia; Takuya Machida; Richard Wilson; Edwin Hancock; Norio Konno; Vito Latora; Simone Severini
    JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, Aug. 2013, Refereed, Not invited
  • A QUANTUM WALK WITH A DELOCALIZED INITIAL STATE: CONTRIBUTION FROM A COIN-FLIP OPERATOR
    Takuya Machida
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, Aug. 2013, Refereed, Not invited
    Lead
  • Measurement-Induced Generation of Spatial Entanglement in a Two-Dimensional Quantum Walk with Single-Qubit Coin
    C. Di Franco; M. Mc Gettrick; T. Machida; Th Busch
    JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, Jul. 2013, Refereed, Not invited
  • Limit distribution for a time-inhomogeneous 2-state quantum walk
    Takuya Machida
    Journal of Computational and Theoretical Nanoscience, Jul. 2013, Refereed, Not invited
    Lead
  • Combinatorial and approximative analyses in a spatially random division process
    Yukio Hayashi; Takayuki Komaki; Yusuke Ide; Takuya Machida; Norio Konno
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, May 2013, Refereed, Not invited
  • REALIZATION OF THE PROBABILITY LAWS IN THE QUANTUM CENTRAL LIMIT THEOREMS BY A QUANTUM WALK
    Takuya Machida
    QUANTUM INFORMATION & COMPUTATION, May 2013, Refereed, Not invited
    Lead
  • Limit theorems for the interference terms of discrete-time quantum walks on the line
    Takuya Machida
    Quantum Information and Computation, 2013, Refereed, Not invited
    Lead
  • The Heun differential equation and the Gauss differential equation related to quantum walks
    Norio Konno; Takuya Machida; Tohru Wakasa
    Yokohama Mathematical Journal, 2012, Refereed, Not invited
    Lead
  • Alternate two-dimensional quantum walk with a single-qubit coin
    C. Di Franco; M. Mc Gettrick; T. Machida; Th. Busch
    PHYSICAL REVIEW A, Oct. 2011, Refereed, Not invited
  • ENTANGLEMENT FOR DISCRETE-TIME QUANTUM WALKS ON THE LINE
    Yusuke Ide; Norio Konno; Takuya Machida
    QUANTUM INFORMATION & COMPUTATION, Sep. 2011, Refereed, Not invited
  • RETURN PROBABILITY OF ONE-DIMENSIONAL DISCRETE-TIME QUANTUM WALKS WITH FINAL-TIME DEPENDENCE
    Yusuke Ide; Norio Konno; Takuya Machida; Etsuo Segawa
    QUANTUM INFORMATION & COMPUTATION, Sep. 2011, Refereed, Not invited
  • LIMIT THEOREMS FOR A LOCALIZATION MODEL OF 2-STATE QUANTUM WALKS
    Takuya Machida
    INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, Apr. 2011, Refereed, Not invited
    Lead
  • LIMIT THEOREMS FOR QUANTUM WALKS WITH MEMORY
    Norio Konno; Takuya Machida
    QUANTUM INFORMATION & COMPUTATION, Nov. 2010, Refereed, Not invited
    Lead
  • Limit theorems for the time-dependent coined quantum walk in one dimension
    Takuya Machida
    Mar. 2010, Refereed, Not invited
    Lead
  • Limit Theorem for a Time-Dependent Coined Quantum Walk on the Line
    Takuya Machida; Norio Konno
    NATURAL COMPUTING, 2010, Refereed, Not invited
    Lead

MISC

  • Limit distribution of a time-dependent 3-period quantum walk
    町田 拓也
    電子情報通信学会技術研究報告 = IEICE technical report : 信学技報, 11 Jun. 2015
  • Relationship between quantum walks and differential equations (Progress in Variational Problems : Variational Problems Interacting with Probability Theories)
    Machida Takuya
    RIMS Kokyuroku, Jun. 2013

Books and other publications

  • New development of quantum walks
    Norio Konno; Yusuke Ide; thers, Joint work, Chapter 7 "Limit theorem for a quantum walk by Fourier analysis", Norio Konno; Yusuke Ide; and 19 others
    BAIFUKAN Co., Ltd., Aug. 2019, Not refereed
    9784563011628
  • Quantum Walk －Introduction and Fundamental Theory－
    Takuya Machida, Single work, Takuya Machida
    SHOKABO Co., Ltd., Jun. 2018, Not refereed
    9784785315764
  • Research Advances in Quantum Dynamics
    Takuya Machida, Joint work, Chapter 2 "Quantum Walks", Takuya Machida
    InTech, Aug. 2016, Not refereed
    9789535124863
  • Visual Guide Book of an Introduction to Quantum Walks
    Takuya Machida, Single work, Takuya Machida
    Morikita Publishing Co., Ltd., May 2015, Not refereed
    9784627053816
  • Visual Guide Book of Complex Networks
    Norio Konno; Takuya Machida, Joint work, Norio Konno and Takuya Machida
    Shuwa System, Dec. 2008, Not refereed
    9784798021386

Lectures, oral presentations, etc.

  • 2周期ハミルトニアンによる連続時間量子ウォークの極限定理
    町田拓也
    数理科学セミナー, Feb. 2024, Invited
  • 2次元格子上の量子ウォークの極限定理
    町田拓也
    数理科学セミナー, Feb. 2020, Invited
  • Introduction to Quantum Walks
    Takuya Machida
    Rigorous Statistical Mechanics and Related Topics, Nov. 2019, Tomohiro Sasamoto (Tokyo Institute of Technology), Akira Sakai (Hokkaido University), Tadahiro Miyao (Hokkaido University), Invited
  • 量子ウォークの極限定理と量子ゲームで生じるパロンド・パラドクス
    町田拓也
    数理科学セミナー, Feb. 2019, Invited
  • 量子ウォーク-量子の世界の奇怪な現象-
    町田拓也
    現象数理学研究集会, Dec. 2018, Invited
  • あるWeyl方程式に関係する量子ウォークの極限分布
    町田拓也
    数理科学セミナー, Feb. 2018, Invited
  • 量子ウォーク入門
    量子光学・量子情報セミナー, Sep. 2017, Invited
  • Quantum walk on a half line
    Takuya Machida
    Mathematical Congress Of The Americas 2017 Special Session on Quantum Walks, Open Quantum Walks, Quantum Computation and Related Topics, Jul. 2017, Radhakrishnan Balu (US Army Research Lab) Carlos F. Lardizabal Federal (University of Rio Grande do Sul) Chaobin Liu (Bowie State University, USA) Takuya Machida (Nihon University) Salvador E. Venegas-Andraca (Tecnologico de Monterrey), Invited
  • 半直線上の2状態量子ウォーク
    町田拓也
    数理科学セミナー, Feb. 2017, Invited
  • 確率分布にギャップ構造をもつ量子ウォークの極限定理
    町田拓也
    今野・竹居研究室セミナー, Jan. 2017, 今野紀雄, Invited
  • 量子ウォーク
    町田拓也
    日本大学生産工学部学術講演会, Dec. 2016, 日本大学生産工学部, Not invited
  • 半直線上の量子ウォーク
    町田拓也
    今野・竹居研究室セミナー, Oct. 2016, 今野紀雄, Invited
  • 時間依存型量子ウォークから現れるギャップ構造をもつ確率分布の極限定理
    町田拓也
    臨時セミナー, Feb. 2016, Invited
  • Limit distribution of a quantum walk on a two-dimensional square lattice
    Takuya Machida
    2016 Joint Mathematics Meetings AMS Special Session on Quantum Walks, Quantum Markov Chains, Quantum Computation and Related Topics, Jan. 2016, Chaobin Liu (Bowie State University) Takuya Machida (Japan Sociey for the Promotion of Science) Salvador E. Venegas-Andraca (Tecnologicó de Monterrey, Campus Estado de México) Nelson Petulante (Bowie State University), Invited
  • 複雑ネットワーク上における，ある反応拡散モデルの平衡解の安定性解析
    井手勇介; 出原浩史; 町田拓也
    第1回水戸MIセミナー, May 2015, Invited
  • Limit distribution of a 3-period time-dependent quantum walk
    F. Alberto Grünbaum; Takuya Machida
    2015 Joint Mathematics Meetings AMS Special Session on Quantum Markov Chains, Quantum Walks, and Related Topics, Jan. 2015, Chaobin Liu (Bowie State University) Takuya Machida (University of California, Berkeley) Salvador E. Venegas-Andraca (Tecnologicó de Monterrey, Campus Estado de México) Nelson Petulante (Bowie State University), Invited
  • Limit distribution of a 2-state quantum walk on the line with a delocalized initial state
    Takuya Machida
    2014 Joint Mathematics Meetings AMS Special Session on Quantum Walks, Quantum Computation, and Related Topics, Jan. 2014, Chaobin Liu (Bowie State University) Takuya Machida (University of Tokyo) Nelson Petulante (Bowie State University) Salvador E. Venegas-Andraca (Tecnológico de Monterrey, Campus Estado de México), Invited
  • Limit distributions of a quantum walk and central limit theorems in quantum probability theory I
    Takuya Machida
    Probabilistic Operator Algebra Sem., Oct. 2013, Dan-Virgil Voiculescu (University of California, Berkeley), Invited
  • Limit distributions of a quantum walk and central limit theorems in quantum probability theory II
    Takuya Machida
    Probabilistic Operator Algebra Sem., Oct. 2013, Dan-Virgil Voiculescu (University of California, Berkeley), Invited
  • Limit theorem of a 2-state quantum walk with a non-localized initial state
    Takuya Machida
    Research Visit: Prof. Norio KONNO & Dr. Takuya MACHIDA, Apr. 2013, Thomas Busch, Invited
  • 初期状態に空間分布を持つ量子ウォークの極限定理
    町田拓也
    数理科学セミナー, Mar. 2013, Invited
  • Limit distributions of a quantum walk and central limit theorems in the quantum probability theory
    Takuya Machida
    生命数理セミナー, Feb. 2013, Invited
  • Limit distributions of quantum walks and 2nd order linear ordinary differential equations
    Takuya Machida
    2013 Joint Mathematics Meetings AMS Special Session on Quantum Walks and Related Topics, Jan. 2013, Yusuke Ide (Kanagawa University) Chaobin Liu (Bowie State University) Nelson Petulante (Bowie State University) Salvador E. Venegas-Andraca (Tecnológico de Monterrey, Campus Estado de México), Invited
  • ホインの微分方程式を通じた離散時間量子ウォークと連続時間量子ウォークの関係
    町田拓也
    CMRU研究会「量子確率論と量子ウォーク」, Jul. 2012, 東北大学大学院情報科学研究科 数学連携推進室, Invited
  • Limit distributions of quantum walks and the Heun equation
    Takuya Machida
    The 7th Jikji Workshop: Infinite Dimensional Analysis and Quantum Probability, Jul. 2012, Un Cig Ji (Chungbuk National University) Jaeseong Heo (Hanyang University) Hun Hee Lee (Chungbuk National University) Hyun Jae Yoo (Hankyong National University), Invited
  • Connection between discrete- and continuous-time quantum walks via the Heun equation
    町田拓也
    偏微分方程式セミナー, Jun. 2012, Invited
  • Relationship between quantum walks and differential equations
    Takuya Machida
    変分問題の展開－確率論と交錯する変分問題, Jun. 2012, 高橋太, Invited
  • 量子ウォークの極限密度関数と線形微分方程式
    町田拓也
    SMARTセミナー, Apr. 2012, Invited
  • 量子ウォークの極限分布と微分方程式の関係
    町田拓也
    第4回福島応用数学研究集会, Mar. 2012, Invited
  • The limit theorems for a time-dependent discrete-time quantum walk on the line
    Takuya Machida
    MAS Seminar, Apr. 2010, Invited
  • 時間依存型離散時間量子ウォークの極限分布の計算
    町田拓也
    第4回 香取研究室セミナー, Oct. 2009, Invited

Courses

  • 線形代数学
    横浜国立大学
  • 離散数学
    神奈川産業技術短期大学校

Affiliated academic society

  • Apr. 2011 - Present
    日本数学会
  • Apr. 2010 - Mar. 2012
    日本数理生物学会

Works

  • 境越する数理 - 時空間の深秘と暗喩
    Oct. 2012 - Oct. 2012, Artistic activity
  • 量子ウォークの世界 - 微細宇宙の酔っぱらい歩き -
    Jun. 2008 - Jun. 2008, Artistic activity

Research Themes

  • 球面上の閉曲線から構成されるワイル方程式に基づく量子ウォークの研究
    Apr. 2023 - Mar. 2026
    Takuya Machida
  • 量子ウォークのモデル間における相互複写可能性と長時間極限定理の研究
    Apr. 2019 - Mar. 2022
    Takuya Machida
  • 確率分布にギャップ構造をもつ量子ウォークの長時間極限定理の研究
    Japan Society for the Promotion of Science, Grants-in-Aid for Scientific Research, Apr. 2016 - Mar. 2019
    Takuya Machida
  • 確率的に生成されるグラフ上の量子ウォークの研究
    日本学術振興会, 科学研究費助成事業, Apr. 2013 - Mar. 2016
    Takuya Machida
  • 非局在化した初期状態をもつ量子ウォークと量子確率論の相互関係についての研究
    日本学術振興会, 科学研究費助成事業, 01 Apr. 2013 - 31 Mar. 2014
    町田 拓也

Social Contribution Activities

  • 公開セミナー II,「SEISAN サイエンスカフェ 酔っ払いの数理モデル～ランダムウォーク～」
    lecturer
    日本大学生産工学部, 日本大学生産工学部, 24 Nov. 2018 - 24 Nov. 2018
  • 第5回Yokohama Workshop on Quantum Walk運営委員
    organizing_member
    神奈川大学, 02 Sep. 2017 - 02 Sep. 2017
  • Organizer of Mathematical Congress Of The Americas 2017 Special Session on Quantum Walks, Open Quantum Walks, Quantum Computation and Related Topics （The Centre Mont-Royal and McGill University, Montreal, Canada）
    organizing_member
    Jul. 2017 - Jul. 2017
  • Organizer of 2016 Joint Mathematics Meetings AMS Special Session on Quantum Walks, Quantum Markov Chains, Quantum Computation and Related Topics （Washington State Convention Center, Seattle, WA, America）
    organizing_member
    Jan. 2016 - Jan. 2016
  • Organizer of Workshop of Quantum Simulation and Quantum Walks 2015 （Yokohama National University, Yokohama, Kanagawa, Japan）
    organizing_member
    Nov. 2015 - Nov. 2015
  • Organizer of 2015 Joint Mathematics Meetings AMS Special Session on Quantum Markov Chains, Quantum Walks, and Related Topics （Henry B. Gonzalez Convention Center, San Antonio, TX, America）
    organizing_member
    Jan. 2015 - Jan. 2015
  • 2014 東京理科大学スプリングプログラム談話会特別招待講演者 （Staybridge Suites Hotel San Francisco Airport, San Francisco, CA, America）
    lecturer
    Mar. 2014 - Mar. 2014
  • Organizer of 2014 Joint Mathematics Meetings AMS Special Session on Quantum Walks, Quantum Computation, and Related Topics （Baltimore Convention Center, Baltimore, MD, America）
    organizing_member
    Jan. 2014 - Jan. 2014
  • 第21回 日本数理生物学会大会運営委員
    organizing_member
    Sep. 2011 - Sep. 2011