Assistant Professor of College of Industrial Technology, Nihon University
Primary Research Area: Probability
EDUCATION: RESEARCH EXPERIENCE:
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Papers  

28  Takuya Machida, Phase transition of an open quantum walk, arXiv:2103.01473. 
27  Takuya Machida, Limit distribution of a timedependent 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 fivediagonal unitary matrix, Quantum Information and Computation, Vol.21 No.1&2, pp.1936 (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. 31013119 (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.515529 (2016), arXiv:1510.03046. 
21  Takuya Machida, C. M. Chandrashekar, Localization and limit laws of a threestate alternate quantum walk on a twodimensional 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. 15391558 (2015), arXiv:1405.1487. 
18  Yusuke Ide, Hirofumi Izuhara, Takuya Machida, Turing instability in ReactionDiffusion models on complex networks, Physica A, 457(1), pp. 331347 (2016), arXiv:1405.0642. 
17  Takuya Machida, Limit theorems of a 3state quantum walk and its application for discrete uniform measures, Quantum Information and Computation, Vol.15 No.5&6, pp.406418 (2015), arXiv:1404.1522. 
16  F. Alberto Grünbaum, Takuya Machida, A limit theorem for a 3period timedependent quantum walk, Quantum Information and Computation, Vol.15 No.1&2, pp.5060 (2015), arXiv:1404.1509. 
15  Takuya Machida, C. M. Chandrashekar, Norio Konno, Thomas Busch, Limit distributions for different forms of fourstate quantum walks on a twodimensional lattice, Quantum Information and Computation, Vol.15 No.13&14, pp.12481258 (2015), arXiv:1307.6288. 
14  Vincenzo Nicosia, Takuya Machida, Richard Wilson, Edwin Hancock, Norio Konno, Vito Latora, Simone Severini, Coevolution 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.22122225 (2013), arXiv:1301.2369. 
12  Carlo Di Franco, Michael Mc Gettrick, Takuya Machida, Thomas Busch, Measurementinduced generation of spatial entanglement in a twodimensional quantum walk with singlequbit coin, Journal of Computational and Theoretical Nanoscience, Vol.10, No.7, pp.16131616 (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.430438 (2013), arXiv:1208.1005. 
10  Takuya Machida, A quantum walk with a delocalized initial state: contribution from a coinflip 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 discretetime quantum walks on the line, Quantum Information and Computation, Vol.13 No.7&8, pp.661671 (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.5363 (2012), arXiv:1109.2662. 
7  Carlo Di Franco, Michael Mc Gettrick, Takuya Machida, Thomas Busch, Alternate twodimensional quantum walk with a singlequbit coin, Physical Review A, 84, 042337 (2011), arXiv:1107.4400. 
6  Yusuke Ide, Norio Konno, Takuya Machida, Entanglement for discretetime quantum walks on the line, Quantum Information and Computation, Vol.11 No.9&10, pp.855866 (2011), arXiv:1012.4164. 
5  Yusuke Ide, Norio Konno, Takuya Machida, Etsuo Segawa, Return probability of onedimensional discretetime quantum walks with finaltime dependence, Quantum Information and Computation, Vol.11 No.9&10, pp.761773 (2011), arXiv:1103.1180. 
4  Takuya Machida, Limit distribution with a combination of density functions for a 2state quantum walk, Journal of Computational and Theoretical Nanoscience, Vol.10, No.7, pp.15711578 (2013), arXiv:1010.3481. 
3  Takuya Machida, Limit theorems for a localization model of 2state quantum walks, International Journal of Quantum Information, Vol.9, No.3, pp.863874 (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.10041017 (2010), arXiv:1004.0443. 
1  Takuya Machida, Norio Konno, Limit theorem for a timedependent coined quantum walk on the line, F. Peper et al. (Eds.): IWNC 2009, Proceedings in Information and Communications Technology, Vol.2, pp.226235 (2010), arXiv:1004.0425. 
Books  

5  Takuya Machida， Chapter 7 "Limit theorem for a quantum walk by Fourier analysis" in the book "New development of quantum walks", BAIFUKAN Co., Ltd., pp.133146 (2019). 
4  Takuya Machida, "Quantum Walk −Introduction and Fundamental Theory−", SHOKABO Co., Ltd. (2018). 
3  Takuya Machida， Chapter 2 "Quantum Walks" in the book "Research Advances in Quantum Dynamics", InTech, pp.2751 (2016). (web) 
2  Takuya Machida, "Visual Guide Book of an Introduction to Quantum Walks", Morikita Publishing Co., Ltd. (2015). 
1  Norio Konno and Takuya Machida, "Visual Guide Book of Complex Networks", Shuwa System (2008). 
Teachings  

8  College of Industrial Technology, Nihon University Calculus, Linear algebra, Statistics, Exercises in mathematics, Precalculus (2020) 
7  College of Industrial Technology, Nihon University Calculus, Linear algebra, Statistics, Precalculus (2019) 
6  College of Industrial Technology, Nihon University Calculus, Linear algebra (2018) 
5  College of Industrial Technology, Nihon University Calculus, Linear algebra, Probability and Statistics, Exercises in mathematics, Precalculus (2017) 
4  College of Industrial Technology, Nihon University Calculus, Linear algebra, Exercises in mathematics, Precalculus (2016) 
3  College of Engineering Science, Yokohama National University Linear algebra (2015) 
2  College of Engineering Science, Yokohama National University Linear algebra (2012) 
1  Department of Information Technology, Kanagawa Industrial and Technical Junior College Discrete mathematics (2009) 
Grants  

4  Japan Society for the Promotion of Science, GrantinAid for Scientific Research (C) (19K03625), "A study of duplications between quantum walks and their limit theorems", Principal Investigator (4.2019  3.2021) 
3  Japan Society for the Promotion of Science, GrantinAid for Young Scientists (B) (16K17648), "A study of limit theorems for quantum walks with gaps in distribution", Principal Investigator (4.2016  3.2018) 
2  Japan Society for the Promotion of Science, GrantsinAid for JSPS Fellows (13J06287), "Quantum walks on stochastic graphs", Principal Investigator (4.2013  3.2016) 
1  Japan Society for the Promotion of Science, GrantinAid for Young Scientists (B) (25800096), "A relationship between quantum walks with a delocalized initial condition and quantum probability theory", Principal Investigator (4.2013  3.2016) 
Activities  

5  Organizer of Mathematical Congress Of The Americas 2017 Special Session on Quantum Walks, Open Quantum Walks, Quantum Computation and Related Topics （The Centre MontRoyal and McGill University, Montreal, Canada） （2017.7） (web) 
4  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） （1.2016） (web) 
3  Organizer of Workshop of Quantum Simulation and Quantum Walks 2015 （Yokohama National University, Yokohama, Kanagawa, Japan） （11.2015） (web) 
2  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) (1.2015) (web) 
1  Organizer of 2014 Joint Mathematics Meetings AMS Special Session on Quantum Walks, Quantum Computation, and Related Topics (Baltimore Convention Center, Baltimore, MD, America) (1.2014) (web) 
Presentations in English (Invited talks)  

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 MontRoyal and McGill University, Montreal, Canada (2017.7) 
10  Limit distribution of a quantum walk on a twodimensional square lattice Joint Mathematics Meetings, Washington State Convention Center, Seattle, WA, America (2016.1) 
9  Limit distribution of a 3period timedependent quantum walk Joint Mathematics Meetings, Henry B. Gonzalez Convention Center, San Antonio, TX, America (1.2015) 
8  Limit distribution of a 2state quantum walk on the line with a delocalized initial state Joint Mathematics Meetings, The Baltimore Convention Center, Baltimore, MD, America (1.2014) 
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 (10.2013) 
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 (10.2013) 
5  Limit theorem of a 2state quantum walk with a nonlocalized initial state Research Visit: Prof. Norio KONNO & Dr. Takuya MACHIDA, Okinawa Institute of Science and Technology Graduate University, Okinawa, Japan (4.2013) 
4  Limit distributions of quantum walks and 2nd order linear ordinary differential equations Joint Mathematics Meetings, San Diego Convention Center, San Diego, CA, America (1.2013) 
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 (7.2012) 
2  Relationship between quantum walks and differential equations Progress in Variational ProblemsVariational Problems Interacting with Probability Theories, Kyoto University, Kyoto, Japan (6.2012) 
1  The limit theorems for a timedependent discretetime quantum walk on the line Seminar on Mathematical Sciences Based on Modeling, Analysis and Simulation, Meiji University, Kawasaki, Japan (4.2010) 
Presentations in English (Others)  

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 (11.2012) 
2  Quantum walks and the Heun equation 2012 International Conference on Modeling, Analysis and Simulation, Meiji University, Tokyo, Japan (11.2012) 
1  Limit theorem for a timedependent coined quantum walk on the line 4th International Conference on Natural Computing, Himeji International Exchange Center, Hyogo, Japan (9.2009) 
International research collaborators  

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 (Okinawa Institute of Science and Technology Graduate University) (web) 
2  Michael Mc Gettrick (The National University of Ireland) (web) 
1  Carlo Di Franco (Universidad del País Vasco / Euskal Herriko Unibertsitatea) 
Research visits  

10  University of California, Berkeley, Berkeley, CA, USA (2019.8.22019.8.20) 
9  University of California, Berkeley, Berkeley, CA, USA (2019.3.42019.3.21) 
8  University of California, Berkeley, Berkeley, CA, USA (2018.8.62018.8.22) 
7  University of California, Berkeley, Berkeley, CA, USA (2018.3.42018.3.21) 
6  University of California, Berkeley, Berkeley, CA, USA (2017.8.72017.8.25) 
5  University of California, Berkeley, Berkeley, CA, USA (2017.3.52017.3.19) 
4  University of California, Berkeley, Berkeley, CA, USA (2016.8.92016.8.24) 
3  University of California, Berkeley, Berkeley, CA, USA (2016.1.102016.1.18) 
2  University of California, Berkeley, Berkeley, CA, USA (2015.9.142015.9.30) 
1  University of California, Berkeley, Berkeley, CA, USA (2013.8.12015.1.31) 