31 citations · 79 across the 26 of their papers we have counts for
17 papers · 1 filter
Spectral analysis of hierarchical continuous-time quantum walks
Jirô Akahori, Yusuke Ide, Tomoki Kato +3
In this paper, we introduce hierarchical random walks at first. In this model, we use two types of random walkers, {global and local} walkers. The global walker chooses a local wal…
Multi-dimensional continuous time quantum walks related to the birth and death chains
Yusuke Ide, Norio Konno, Akihiro Narimatsu
In this paper, we consider multi-dimensional birth and death chains and continuous time quantum walks (CTQW) related to them. For CTQW related to our forms of multi-dimensional bir…
Scaling limit of the time averaged distribution for continuous time quantum walk and Szegedy's walk on the path
Yusuke Ide
In this paper, we consider Szegedy's walk, a type of discrete time quantum walk, and corresponding continuous time quantum walk related to the birth and death chain. We show that t…
Perfect state transfer, Equitable partition and Continuous-time quantum walk based search
Yusuke Ide, Akihiro Narimatsu
In this paper, we consider a continuous-time quantum walk based search algorithm. We introduce equitable partition of the graph and perfect state transfer on it. By these two metho…
Eigenvalues of quantum walk induced by recurrence properties of the underlying birth and death process: application to computation of an edge state
Yusuke Ide, Norio Konno, Etsuo Segawa
In this paper, we consider an extended coined Szegedy model and discuss the existence of the point spectrum of induced quantum walks in terms of recurrence properties of the underl…
Partition of graphs and quantum walk based search algorithms
Yusuke Ide
In this paper, we show reduction methods for search algorithms on graphs using quantum walks. By using a graph partitioning method called equitable partition for the the given grap…
Uniform stationary measure of space-inhomogeneous quantum walks in one dimension
Yusuke Ide, Norio Konno, Daichi Nakayama
The discrete-time quantum walk (QW) is a quantum version of the random walk (RW) and has been widely investigated for the last two decades. Some remarkable properties of QW are wel…
A spectral analysis of discrete-time quantum walks related to the birth and death chains
Choon-Lin Ho, Yusuke Ide, Norio Konno +2
In this paper, we consider a spectral analysis of discrete time quantum walks on the path. For isospectral coin cases, we show that the time averaged distribution and stationary di…
Periodicity for space-inhomogeneous quantum walks on the cycle
Toshiyuki Arai, Choon-Lin Ho, Yusuke Ide +1
In this paper, we consider periodicity for space-inhomogeneous quantum walks on the cycle. For isospectral coin cases, we propose a spectral analysis. Based on the analysis, we ext…
New theory of diffusive and coherent nature of optical wave via a quantum walk
Yusuke Ide, Norio Konno, Shigeki Matsutani +1
We propose a new theory on a relation between diffusive and coherent nature in one dimensional wave mechanics based on a quantum walk. It is known that the quantum walk in homogene…
Exact solutions and symmetry analysis for the limiting probability distribution of quantum walks
Xin-Ping Xu, Yusuke Ide
In the literature, there are numerous studies of one-dimensional discrete-time quantum walks (DTQWs) using a moving shift operator. However, there is no exact solution for the limi…
Asymptotic analysis of the one-dimensional quantum walks by the Tsallis and Rényi entropies
Yusuke Ide, Norio Konno, Junji Shikata
The Tsallis and Rényi entropies are important quantities in the information theory, statistics and related fields because the Tsallis entropy is an one parameter generalization of…
Local subgraph structure can cause localization in continuous-time quantum walk
Yusuke Ide
In this paper, we consider continuous-time quantum walks (CTQWs) on finite graphs determined by the Laplacian matrices. By introducing fully interconnected graph decomposition of g…
Time averaged distribution of a discrete-time quantum walk on the path
Yusuke Ide, Norio Konno, Etsuo Segawa
The discrete time quantum walk which is a quantum counterpart of random walk plays important roles in the theory of quantum information theory. In the present paper, we focus on di…
Return probability of one-dimensional discrete-time quantum walks with final-time dependence
Yusuke Ide, Norio Konno, Takuya Machida +1
We analyze final-time dependent discrete-time quantum walks in one dimension. We compute asymptotics of the return probability of the quantum walk by a path counting approach. More…
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…
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…