42 citations · 137 across the 9 of their papers we have counts for
9 papers
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…
Analytical solutions for quantum walks on 1D chain with different shift operators
Xin-Ping Xu, Xiao-Kun Zhang, Yusuke Ide +1
In this paper, we study the discrete-time quantum walks on 1D Chain with the moving and swapping shift operators. We derive analytical solutions for the eigenvalues and eigenstates…
Localization of discrete time quantum walks on the glued trees
Yusuke Ide, Norio Konno, Etsuo Segawa +1
In this paper, we consider the time averaged distribution of discrete time quantum walks on the glued trees. In order to analyse the walks on the glued trees, we consider a reducti…
Symmetry and localization of quantum walk induced by extra link in cycles
Xin-Ping Xu, Yusuke Ide, Norio Konno
In this paper, we study the impact of single extra link on the coherent dynamics modeled by continuous-time quantum walks. For this purpose, we consider the continuous-time quantum…
Recurrence and Polya number of general one-dimensional random walks
Xiao-Kun Zhang, Jing Wan, Jing-Ju Lu +1
The recurrence properties of random walks can be characterized by Pólya number, i.e., the probability that the walker has returned to the origin at least once. In this paper, we co…
Discrete-time quantum walks on one-dimensional lattices
Xin-Ping Xu
In this paper, we study discrete-time quantum walks on one-dimensional lattices. We find that the coherent dynamics depends on the initial states and coin parameters. For infinite…