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所属： 日本大学生産工学部 教養・基礎科学系
専門： 確率論
学位：
学歴：
職歴：
所属学会： |
| 論文 | |
|---|---|
| 30 | Takuya Machida, Phase transition of a continuous-time quantum walk on the half line, arXiv:2403.13576. |
| 29 | Takuya Machida, Limit distribution of a continuous-time quantum walk with a spatially 2-periodic Hamiltonian, Quantum Information Processing, Vol.22, 332 (2023), arXiv:2304.06464. |
| 28 | Takuya Machida, Phase transition of an open quantum walk, International Journal of Quantum Information, Vol.19, No.6, 2150028 (2021), arXiv:2103.01473. |
| 27 | Takuya Machida, Limit distribution of a time-dependent quantum walk on the half line, Quantum Information Processing, Vol.19, 296 (2020), arXiv:2003.01953. |
| 26 | Takuya Machida, A limit distribution for a quantum walk driven by a five-diagonal unitary matrix, Quantum Information and Computation, Vol.21 No.1&2, pp.19-36 (2021), arXiv:1903.07192. |
| 25 | Takuya Machida, F. Alberto Grünbaum, Some limit laws for quantum walks with applications to a version of the Parrondo paradox, Quantum Information Processing, Vol.17(9), 241 (2018), arXiv:1803.04522. |
| 24 | Takuya Machida, A limit theorem for a splitting distribution of a quantum walk, International Journal of Quantum Information, Vol.16, No.3, 1850023 (2018), arXiv:1704.04554. |
| 23 | Takuya Machida, A quantum walk on the half line with a particular initial state, Quantum Information Processing, Vol.15, No.8, pp. 3101-3119 (2016), arXiv:1604.02227. |
22 | Takuya Machida, A localized quantum walk with a gap in distribution, Quantum Information and Computation, Vol.16 No.5&6, pp.515-529 (2016), arXiv:1510.03046. |
| 21 | Takuya Machida, C. M. Chandrashekar, Localization and limit laws of a three-state alternate quantum walk on a two-dimensional lattice, Physical Review A, 92, 062307 (2015), arXiv:1510.02885. |
| 20 | Takuya Machida, A limit law of the return probability for a quantum walk on a hexagonal lattice, International Journal of Quantum Information, Vol.13, No.7, 1550054 (2015), arXiv:1502.06453. |
| 19 | Takuya Machida, Etsuo Segawa, Trapping and spreading properties of quantum walk in homological structure, Quantum Information Processing, Vol.14, No.5, pp. 1539-1558 (2015), arXiv:1405.1487. |
| 18 | Yusuke Ide, Hirofumi Izuhara, Takuya Machida, Turing instability in Reaction-Diffusion models on complex networks, Physica A, 457(1), pp. 331-347 (2016), arXiv:1405.0642. |
| 17 | Takuya Machida, Limit theorems of a 3-state quantum walk and its application for discrete uniform measures, Quantum Information and Computation, Vol.15 No.5&6, pp.406-418 (2015), arXiv:1404.1522. |
| 16 | F. Alberto Grünbaum, Takuya Machida, A limit theorem for a 3-period time-dependent quantum walk, Quantum Information and Computation, Vol.15 No.1&2, pp.50-60 (2015), arXiv:1404.1509. |
| 15 | Takuya Machida, C. M. Chandrashekar, Norio Konno, Thomas Busch, Limit distributions for different forms of four-state quantum walks on a two-dimensional lattice, Quantum Information and Computation, Vol.15 No.13&14, pp.1248-1258 (2015), arXiv:1307.6288. |
| 14 | Vincenzo Nicosia, Takuya Machida, Richard Wilson, Edwin Hancock, Norio Konno, Vito Latora, Simone Severini, Co-evolution of networks and quantum dynamics: a generalization of preferential attachment, The Journal of Statistical Mechanics: Theory and Experiment, P08016 (2013), arXiv:1302.0887. |
| 13 | Yukio Hayashi, Takayuki Komaki, Yusuke Ide, Takuya Machida, Norio Konno, Combinatorial and approximative analyses in spatially random division process, Physica A, 392(9), pp.2212-2225 (2013), arXiv:1301.2369. |
| 12 | Carlo Di Franco, Michael Mc Gettrick, Takuya Machida, Thomas Busch, Measurement-induced generation of spatial entanglement in a two-dimensional quantum walk with single-qubit coin, Journal of Computational and Theoretical Nanoscience, Vol.10, No.7, pp.1613-1616 (2013), arXiv:1307.2993. |
| 11 | Takuya Machida, Realization of the probability laws in the quantum central limit theorems by a quantum walk, Quantum Information and Computation, Vol.13 No.5&6, pp.430-438 (2013), arXiv:1208.1005. |
| 10 | Takuya Machida, A quantum walk with a delocalized initial state: contribution from a coin-flip operator, International Journal of Quantum Information, Vol.11, No.5, 1350053 (2013), arXiv:1203.5396. |
| 9 | Takuya Machida, Limit theorems for the interference terms of discrete-time quantum walks on the line, Quantum Information and Computation, Vol.13 No.7&8, pp.661-671 (2013), arXiv:1112.4633. |
| 8 | Norio Konno, Takuya Machida, Tohru Wakasa, The Heun differential equation and the Gauss differential equation related to quantum walks, Yokohama Mathematical Journal, Vol.58, pp.53-63 (2012), arXiv:1109.2662. |
| 7 | Carlo Di Franco, Michael Mc Gettrick, Takuya Machida, Thomas Busch, Alternate two-dimensional quantum walk with a single-qubit coin, Physical Review A, 84, 042337 (2011), arXiv:1107.4400. |
| 6 | Yusuke Ide, Norio Konno, Takuya Machida, Entanglement for discrete-time quantum walks on the line, Quantum Information and Computation, Vol.11 No.9&10, pp.855-866 (2011), arXiv:1012.4164. |
| 5 | Yusuke Ide, Norio Konno, Takuya Machida, Etsuo Segawa, Return probability of one-dimensional discrete-time quantum walks with final-time dependence, Quantum Information and Computation, Vol.11 No.9&10, pp.761-773 (2011), arXiv:1103.1180. |
| 4 | Takuya Machida, Limit distribution for a time-inhomogeneous 2-state quantum walk, Journal of Computational and Theoretical Nanoscience, Vol.10, No.7, pp.1571-1578 (2013), arXiv:1010.3481. |
| 3 | Takuya Machida, Limit theorems for a localization model of 2-state quantum walks, International Journal of Quantum Information, Vol.9, No.3, pp.863-874 (2011), arXiv:1008.1116. |
| 2 | Norio Konno, Takuya Machida, Limit theorems for quantum walks with memory, Quantum Information and Computation, Vol.10, No.11&12, pp.1004-1017 (2010), arXiv:1004.0443. |
| 1 | Takuya Machida, Norio Konno, Limit theorem for a time-dependent coined quantum walk on the line, F. Peper et al. (Eds.): IWNC 2009, Proceedings in Information and Communications Technology, Vol.2, pp.226-235 (2010), arXiv:1004.0425. |
| 著書 | |
|---|---|
| 5 | 今野紀雄，井手勇介 他19名， 量子ウォークの新展開 数理構造の深化と応用， 培風館，pp.133-146 (2019)．(第7章「フーリエ解析による極限定理の導出」を執筆) |
| 4 | 町田拓也， 量子ウォーク −基礎と数理−， 裳華房，(2018)． |
| 3 | Takuya Machida, Chapter 2 "Quantum Walks" in the book "Research Advances in Quantum Dynamics", InTech, pp.27-51 (2016). (web) |
| 2 | 町田拓也， 図で解る量子ウォーク入門， 森北出版，(2015)． |
| 1 | 今野紀雄，町田拓也， 図解入門 よくわかる複雑ネットワーク， 秀和システム，(2008)． |
| 教育業績 | |
|---|---|
| 11 | 日本大学生産工学部 常勤講師（専任）（微分積分学，線形代数学，確率統計，基礎科学演習，物理数学演習）（2023年度） |
| 10 | 日本大学生産工学部 常勤講師（専任）（微分積分学，線形代数学，確率統計，基礎科学演習，物理数学演習）（2022年度） |
| 9 | 日本大学生産工学部 常勤講師（専任）（微分積分学，線形代数学，確率統計，数学演習）（2021年度） |
| 8 | 日本大学生産工学部 常勤講師（専任）（微分積分学，線形代数学，確率統計，数学演習，基礎数学演習）（2020年度） |
| 7 | 日本大学生産工学部 常勤講師（専任）（微分積分学，線形代数学，確率統計，基礎数学演習）（2019年度） |
| 6 | 日本大学生産工学部 常勤講師（専任）（微分積分学，線形代数学）（2018年度） |
| 5 | 日本大学生産工学部 常勤講師（専任）（微分積分学，線形代数学，確率統計，数学演習，基礎数学演習）（2017年度） |
| 4 | 日本大学生産工学部 常勤講師（専任）（微分積分学，線形代数学，数学演習，基礎数学演習）（2016年度） |
| 3 | 横浜国立大学理工学部・工学部 非常勤講師（兼任）（線形代数学）（2015年度） |
| 2 | 横浜国立大学理工学部・工学部 非常勤講師（兼任）（線形代数学）（2012年度） |
| 1 | 神奈川産業技術短期大学校情報技術科 非常勤講師（兼任）（離散数学）（2009年度） |
| 競争的研究資金 | |
|---|---|
| 4 | 科学研究費補助金（研究種目：基盤研究(C)，研究課題番号：23K03220，研究分野：数学基礎・応用数学，研究期間：2023-2025年度），「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」，4,680千円（直接経費：3,600千円，間接経費：1,080千円），研究代表者 (web) |
| 3 | 科学研究費補助金（研究種目：基盤研究(C)，研究課題番号：19K03625，研究分野：数学基礎・応用数学，研究期間：2019-2022年度），「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」，4,160千円（直接経費：3,200千円，間接経費：960千円），研究代表者 (web) |
| 2 | 科学研究費補助金（研究種目：若手研究(B)，研究課題番号：16K17648，研究分野：数学基礎・応用数学，研究期間：2016-2018年度），「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」，3,770千円（直接経費：2,900千円，間接経費：870千円），研究代表者 (web) |
| 1 | 科学研究費補助金（研究種目：特別研究員奨励費，研究課題番号：13J06287，研究分野：数学一般(含確率論・統計数学)，研究期間：2013-2015年度），「確率的に生成されるグラフ上の量子ウォークの研究」，3,960千円（直接経費 3,300千円，間接経費 660千円），研究代表者 (web) |
| 社会的貢献・地域貢献 | |
|---|---|
| 11 | 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〜」講師（日本大学）（2018.11.24） (web) |
| 10 | 第5回Yokohama Workshop on Quantum Walk運営委員（神奈川大学）（2017.9.2） |
| 9 | 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） （2017.7） (web) |
| 8 | 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） （2016.1） (web) |
| 7 | Organizer of Workshop of Quantum Simulation and Quantum Walks 2015 （Yokohama National University, Yokohama, Kanagawa, Japan） （2015.11） (web) |
| 6 | 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） （2015.1） (web) |
| 5 | 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） （2014.3） |
| 4 | Organizer of 2014 Joint Mathematics Meetings AMS Special Session on Quantum Walks, Quantum Computation, and Related Topics （Baltimore Convention Center, Baltimore, MD, America） （2014.1） (web) |
| 3 | 境越する数理 - 時空間の深秘と暗喩 - （ZAIM CAFE ANNEX（元町））での作品展示（2012.10） (web) |
| 2 | 第21回 日本数理生物学会大会運営委員（明治大学）（2011.9） |
| 1 | 量子ウォークの世界 - 微細宇宙の酔っぱらい歩き - （gallery元町（元町））での作品展示（2008.6） (web) |
| 招待講演（英語） | |
|---|---|
| 12 | Introduction to Quantum Walks Rigorous Statistical Mechanics and Related Topics, RIMS, Kyoto University, Japan (2019.11) |
| 11 | Quantum walk on a half line Mathematical Congress Of The Americas, The Centre Mont-Royal and McGill University, Montreal, Canada (2017.7) |
| 10 | Limit distribution of a quantum walk on a two-dimensional square lattice Joint Mathematics Meetings, Washington State Convention Center, Seattle, WA, America (2016.1) |
| 9 | Limit distribution of a 3-period time-dependent quantum walk Joint Mathematics Meetings, Henry B. Gonzalez Convention Center, San Antonio, TX, America (2015.1) |
| 8 | Limit distribution of a 2-state quantum walk on the line with a delocalized initial state Joint Mathematics Meetings, The Baltimore Convention Center, Baltimore, MD, America (2014.1) |
| 7 | Limit distributions of a quantum walk and central limit theorems in quantum probability theory II Probabilistic Operator Algebra Sem., University of California, Berkeley, Berkeley, CA, America (2013.10) |
| 6 | Limit distributions of a quantum walk and central limit theorems in quantum probability theory I Probabilistic Operator Algebra Sem., University of California, Berkeley, Berkeley, CA, America (2013.10) |
| 5 | Limit theorem of a 2-state quantum walk with a non-localized initial state Research Visit: Prof. Norio KONNO & Dr. Takuya MACHIDA, Okinawa Institute of Science and Technology Graduate University, Okinawa, Japan (2013.4) |
| 4 | Limit distributions of quantum walks and 2nd order linear ordinary differential equations Joint Mathematics Meetings, San Diego Convention Center, San Diego, CA, America (2013.1) |
| 3 | Limit distributions of quantum walks and the Heun equation The 7th Jikji Workshop: Infinite Dimensional Analysis and Quantum Probability, Chungbuk National University, Cheongju, Korea (2012.7) |
| 2 | Relationship between quantum walks and differential equations Progress in Variational Problems-Variational Problems Interacting with Probability Theories, Kyoto University, Kyoto, Japan (2012.6) |
| 1 | The limit theorems for a time-dependent discrete-time quantum walk on the line Seminar on Mathematical Sciences Based on Modeling, Analysis and Simulation, Meiji University, Kawasaki, Japan (2010.4) |
| その他の発表（英語） | |
|---|---|
| 3 | Relation between a limit distribution of a quantum walk and the Heun equation Workshop of Quantum Dynamics and Quantum Walks, Okazaki Conference Center, Aichi, Japan (2012.11) |
| 2 | Quantum walks and the Heun equation 2012 International Conference on Modeling, Analysis and Simulation, Meiji University, Tokyo, Japan (2012.11) |
| 1 | Limit theorem for a time-dependent coined quantum walk on the line 4th International Conference on Natural Computing, Himeji International Exchange Center, Hyogo, Japan (2009.9) |
| 国際連携（共同研究者） | |
|---|---|
| 7 | Norman Sheu (University of California, Berkeley) (web) |
| 6 | F. Alberto Grünbaum (University of California, Berkeley) (web) |
| 5 | C. M. Chandrashekar (The Institute of Mathematical Sciences) (web) |
| 4 | Simone Severini (University College London) (web) |
| 3 | Thomas Busch (沖縄科学技術大学院大学) (web) |
| 2 | Michael Mc Gettrick (The National University of Ireland) (web) |
| 1 | Carlo Di Franco (Universidad del País Vasco / Euskal Herriko Unibertsitatea) |
| 研究活動を目的とした海外渡航歴 | |
|---|---|
| 12 | University of California, Berkeley, Berkeley, CA, USA (2023.8.9-2023.8.23) |
| 11 | University of California, Berkeley, Berkeley, CA, USA (2023.3.8-2023.3.22) |
| 10 | University of California, Berkeley, Berkeley, CA, USA (2019.8.2-2019.8.20) |
| 9 | University of California, Berkeley, Berkeley, CA, USA (2019.3.4-2019.3.21) |
| 8 | University of California, Berkeley, Berkeley, CA, USA (2018.8.6-2018.8.23) |
| 7 | University of California, Berkeley, Berkeley, CA, USA (2018.3.4-2018.3.21) |
| 6 | University of California, Berkeley, Berkeley, CA, USA (2017.8.7-2017.8.25) |
| 5 | University of California, Berkeley, Berkeley, CA, USA (2017.3.5-2017.3.19) |
| 4 | University of California, Berkeley, Berkeley, CA, USA (2016.8.9-2016.8.24) |
| 3 | University of California, Berkeley, Berkeley, CA, USA (2016.1.10-2016.1.18) |
| 2 | University of California, Berkeley, Berkeley, CA, USA (2015.9.14-2015.9.30) |
| 1 | University of California, Berkeley, Berkeley, CA, USA (2013.8.1-2015.1.31) |
nihon-u.ac.jp
