189 citations · 1.9k across the 148 of their papers we have counts for
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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…
Crossovers induced by discrete-time quantum walks
Kota Chisaki, Norio Konno, Etsuo Segawa +1
We consider crossovers with respect to the weak convergence theorems from a discrete-time quantum walk (DTQW). We show that a continuous-time quantum walk (CTQW) and discrete- and…
Limit Theorems for the Discrete-Time Quantum Walk on a Graph with Joined Half Lines
Kota Chisaki, Norio Konno, Etsuo Segawa
We consider a discrete-time quantum walk at time on a graph with joined half lines , which is composed of half lines with the same origin. Our analy…
Localization of discrete-time quantum walks on a half line via the CGMV method
Norio Konno, Etsuo Segawa
We study discrete-time quantum walks on a half line by means of spectral analysis. Cantero et al. [1] showed that the CMV matrix, which gives a recurrence relation for the orthogon…
Numerical study of a three-state host-parasite system on the square lattice
Takehisa Hasegawa, Norio Konno, Naoki Masuda
We numerically study the phase diagram of a three-state host-parasite model on the square lattice motivated by population biology. The model is an extension of the contact process,…
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…
Continuous-time quantum walks on the threshold network model
Yusuke Ide, Norio Konno
It is well known that many real world networks have the power-law degree distribution (scale-free property). However there are no rigorous results for continuous-time quantum walks…
Emergence of Randomness and Arrow of Time in Quantum Walks
Yutaka Shikano, Kota Chisaki, Etsuo Segawa +1
Quantum walks are powerful tools not only to construct the quantum speedup algorithms but also to describe specific models in physical processes. Furthermore, the discrete time qua…