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papers

Publications (24)

A localized quantum walk with a gap in distribution

Takuya Machida

Turing instability in Reaction-Diffusion models on complex networks

Yusuke Ide, Hirofumi Izuhara, Takuya Machida

Localization and limit laws of a three-state alternate quantum walk on a two-dimensional lattice

Takuya Machida, C. M. Chandrashekar

Limit theorems of a 3-state quantum walk and its application for discrete uniform measures

Takuya Machida

A limit theorem for a 3-period time-dependent quantum walk

F. Alberto GrÃ¼nbaum, Takuya Machida

Self-avoiding quantum walks: realisations in subspaces and limit theorems

Takuya Machida, C. M. Chandrashekar, Norio Konno +1

A quantum walk on the half line with a particular initial state

Takuya Machida

A limit law of the return probability for a quantum walk on a hexagonal lattice

Takuya Machida

Some limit laws for quantum walks with applications to a version of the Parrondo paradox

Takuya Machida, F. Alberto Grunbaum

A limit theorem for a splitting distribution of a quantum walk

Takuya Machida

A quantum walk with a delocalized initial state: contribution from a coin-flip operator

Takuya Machida

Trapping and spreading properties of quantum walk in homological structure

Takuya Machida, Etsuo Segawa

Limit distribution with a combination of density functions for a 2-state quantum walk

Takuya Machida

Realization of the probability laws in the quantum central limit theorems by a quantum walk

Takuya Machida

Limit theorem for a time-dependent coined quantum walk on the line

Takuya Machida, Norio Konno

cond-mat.stat-mech2013

Combinatorial and approximative analyses in a spatially random division process

Yukio Hayashi, Takayuki Komaki, Yusuke Ide +2

The Heun differential equation and the Gauss differential equation related to quantum walks

Norio Konno, Takuya Machida, Tohru Wakasa

Entanglement for discrete-time quantum walks on the line

Yusuke Ide, Norio Konno, Takuya Machida

Limit theorems for a localization model of 2-state quantum walks

Takuya Machida

physics.soc-ph2013

Co-evolution of networks and quantum dynamics: a generalization of preferential attachment

Vincenzo Nicosia, Takuya Machida, Richard Wilson +4

Return probability of one-dimensional discrete-time quantum walks with final-time dependence

Yusuke Ide, Norio Konno, Takuya Machida +1

The discrete-time Grover walk on star graphs with one loop

Takuya Machida

Limit theorems for the interference terms of discrete-time quantum walks on the line

Takuya Machida

Limit theorems for quantum walks with memory

Norio Konno, Takuya Machida