Limit Theorem for a Time-Dependent Coined Quantum Walk on the Line. - Takuya Machida; Norio Konno (IWNC, 2009)

Limit theorems for quantum walks with memory. - Norio Konno; Takuya Machida (Quantum Inf. Comput., 2010)

Entanglement for quantum walks on the line. - Yusuke Ide; Norio Konno; Takuya Machida (Quantum Inf. Comput., 2011)

Return probability of quantum walks with final-time dependence. - Yusuke Ide; Norio Konno; Takuya Machida; Etsuo Segawa (Quantum Inf. Comput., 2011)

Combinatorial and approximative analyses in a spatially random division process - Yukio Hayashi; Takayuki Komaki; Yusuke Ide; Takuya Machida; Norio Konno (CoRR, 2013)

Realization of the probability laws in the quantum central limit theorems by a quantum walk. - Takuya Machida (Quantum Inf. Comput., 2013)

Limit theorems for the interference terms of discrete-time quantum walks on the line. - Takuya Machida (Quantum Inf. Comput., 2013)

A limit theorem for a 3-period time-dependent quantum walk. - F. Alberto Grünbaum; Takuya Machida (Quantum Inf. Comput., 2015)

Limit theorems of a 3-state quantum walk and its application for discrete uniform measures. - Takuya Machida (Quantum Inf. Comput., 2015)

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 Inf. Comput., 2015)

Trapping and spreading properties of quantum walk in homological structure. - Takuya Machida; Etsuo Segawa (Quantum Inf. Process., 2015)

A localized quantum walk with a gap in distribution. - Takuya Machida (Quantum Inf. Comput., 2016)

A quantum walk on the half line with a particular initial state. - Takuya Machida (Quantum Inf. Process., 2016)

Some limit laws for quantum walks with applications to a version of the Parrondo paradox. - Takuya Machida; F. Alberto Grünbaum (Quantum Inf. Process., 2018)

Limit distribution of a time-dependent quantum walk on the half line. - Takuya Machida (Quantum Inf. Process., 2020)

A limit distribution for a quantum walk driven by a five-diagonal unitary matrix. - Takuya Machida (Quantum Inf. Comput., 2021)

Limit distribution of a continuous-time quantum walk with a spatially 2-periodic Hamiltonian. - Takuya Machida (Quantum Inf. Process., 2023)

Phase transition of a continuous-time quantum walk on the half line. - Takuya Machida (Quantum Inf. Process., 2024)