58 citations · 195 across the 32 of their papers we have counts for
5 papers · 2 filters
Entanglement for discrete-time quantum walks on the line
Yusuke Ide, Norio Konno, Takuya Machida
The discrete-time quantum walk is a quantum counterpart of the random walk. It is expected that the model plays important roles in the quantum field. In the quantum information the…
Limit distribution with a combination of density functions for a 2-state quantum walk
Takuya Machida
We consider 2-state quantum walks (QWs) on the line, which are defined by two matrices. One of the matrices operates the walk in certain intervals. In the usual QWs starting from t…
Limit theorems for a localization model of 2-state quantum walks
Takuya Machida
We consider 2-state quantum walks (QWs) on the line, which are defined by two matrices. One of the matrices operates the walk at only half-time. In the usual QWs, localization does…
Limit theorems for quantum walks with memory
Norio Konno, Takuya Machida
Recently Mc Gettrick [1] introduced and studied a discrete-time 2-state quantum walk (QW) with a memory in one dimension. He gave an expression for the amplitude of the QW by path…
Limit theorem for a time-dependent coined quantum walk on the line
Takuya Machida, Norio Konno
We study time-dependent discrete-time quantum walks on the one-dimensional lattice. We compute the limit distribution of a two-period quantum walk defined by two orthogonal matrice…