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URL;TYPE=URI:https://www.wpi.edu/news/calendar/events/mathematical-sciences
 -dept-qit-thinking-seminar-takuya-machida-nihon-university-stratton-301
SUMMARY:Mathematical Sciences Dept. QIT Thinking Seminar - Takuya Machida, 
 Nihon University (Stratton 301)
DESCRIPTION:DEPARTMENT OF MATHEMATICAL SCIENCES\nQIT Thinking Seminar\nSpea
 ker: Takuya Machida,Nihon University\nFriday, August 14, 2026, 10:00 AM – 
 11:00 AMStratton Hall 301\nTitle: Long-time limiting theorems for some qua
 ntum walks\nAbstract: Quantum walks are quantum analogs of random walks in
  mathematics. While random walks converge in normaldistributions, quantum 
 walks converge in probability distributions different from normal distribu
 tions. The speaker hasbeen working on limiting theorems for quantum walks 
 since 2004.Picking some of his papers [1-6], he will shortly talk about th
 e limiting theorems for one dimensional quantum walks. Thetheorems primari
 ly focus on long-time limiting distributions, from which we will see inter
 esting behavior of quantumwalks (e.g. localization, gap, phase transition)
 .[1] Takuya Machida, Norio Konno : Limit theorem for a time-dependent coin
 ed quantum walk on the line, F. Peper et al.(Eds.): IWNC 2009, Proceedings
  in Information and Communications Technology, Vol.2, pp.226-235 (2010).[2
 ] F. Alberto Grunbaum, Takuya Machida : A limit theorem for a 3-period tim
 e-dependent quantum walk, QuantumInformation and Computation, Vol.15 No.1\
 &2, pp.50-60 (2015).[3] Takuya Machida : A limit theorem for a splitting d
 istribution of a quantum walk, International Journal of QuantumInformation
 , Vol.16, No.3, 1850023 (2018).[4] Takuya Machida : Limit theorems of a 3-
 state quantum walk and its application for discrete uniform measures,Quant
 um Information and Computation, Vol.15 No.5\&6, pp.406-418 (2015).[5] Taku
 ya Machida : Limit distribution of a continuous-time quantum walk with a s
 patially 2-periodic Hamiltonian,Quantum Information Processing, Vol.22, 33
 2 (2023).[6] Takuya Machida : Phase transition of a continuous-time quantu
 m walk on the half line, Quantum InformationProcessing, Vol.23, 243 (2024)
 .\n
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