町田拓也(Takuya Machida)


所属: 日本大学生産工学部 教養・基礎科学系
職位: 助教

E-mail: machida.takuya@nihon-u.ac.jp


専門: 確率論
研究分野: 量子ウォーク,複雑ネットワーク

(参考URL) 量子ウォークとは?

学位:
博士(工学) (横浜国立大学,2010年3月)
修士(工学) (横浜国立大学,2007年3月)
学士(工学) (横浜国立大学,2005年3月)

学歴:
2000.3 神奈川県立川和高等学校 卒業
2001.4 横浜国立大学工学部生産工学科 入学
2005.3 横浜国立大学工学部生産工学科 卒業
2005.4 横浜国立大学大学院工学府システム統合工学専攻博士前期課程 入学
2007.4 同上修了
2007.4 横浜国立大学大学院工学府システム統合工学専攻博士後期課程 入学
2010.3 同上修了

職歴:
2008.4 横浜国立大学工学部生産工学科 TA(数学演習)(2008.7まで)
2009.4 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)(2009.9まで)
2010.4 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)(2012.3まで)
2012.4 明治大学研究・知財戦略機構 研究推進員(ポストドクター)(2013.3まで)
2012.4 横浜国立大学理工学部・工学部 非常勤講師(線形代数学)(2013.3まで)
2013.4 日本学術振興会 特別研究員PD(受入機関:東京大学大学院情報理工学系研究科(受入研究者: 増田直紀 准教授)(2013.12まで),明治大学総合数理学部(受入研究者: 砂田利一 教授))(2016.3まで)
2013.8 Department of Mathematics, University of California, Berkeley Postdoctoral Scholar(2015.1まで)(web
2015.4 横浜国立大学理工学部・工学部 非常勤講師(線形代数学)(2016.3まで)
2016.4 日本大学生産工学部 助教(現在に至る)(web

所属学会:
日本数理生物学会(2010.4 - 2012.3)
日本数学会(2011.4 - 現在に至る)








  論文
24 Takuya Machida,
A quantum walk on a line and a Weyl equation in a space,
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 with a combination of density functions for a 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
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
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)(2015.4 - 2016.3)
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)(2012.4 - 2013.3)
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)(2009.4 - 2009.9)




  競争的研究資金
5 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)
4 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)
3 科学研究費補助金(研究種目:若手研究(B),研究課題番号:25800096,研究分野:数学基礎・応用数学,研究期間:2013-2015年度),「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」,2,600千円(直接経費:2,000千円,間接経費:600千円),研究代表者 (web)
(平成25年度 日本学術振興会 特別研究員PD採用に伴い辞退)
2 2012年度グローバルCOEプログラム(現象数理学の形成と発展)現象数理若手プロジェクト「海外共同研究型」,「Relation between limit theorems of quantum walks in one dimension and differencial equations」,134千円,研究代表者 (web)
1 2010年度グローバルCOEプログラム(現象数理学の形成と発展)現象数理若手プロジェクト「研究プロジェクト型」,「家族制の進化の現象数理学」,500千円,研究分担者 (web)




  社会的貢献・地域貢献
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)
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)
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
7 University of California, Berkeley, Berkeley, CA, America (2017.8.7-2017.8.25)
6 University of California, Berkeley, Berkeley, CA, America (2017.3.5-2017.3.19)
5 University of California, Berkeley, Berkeley, CA, America (2016.8.9-2016.8.24)
4 University of California, Berkeley, Berkeley, CA, America (2016.1.10-2016.1.18)
3 University of California, Berkeley, Berkeley, CA, America (2015.9.14-2015.9.30)
2 University of California, Berkeley, Berkeley, CA, America (2013.8.1-2015.1.31)
1 Chungbuk National University, Cheongju, Korea (2012.7.21-2012.7.28)


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