189 citations · 1.9k across the 148 of their papers we have counts for
8 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…
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…
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…