31 citations · 79 across the 26 of their papers we have counts for
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math-ph2014★ 2 cited
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…
math-ph2013★ 9 cited
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…
math-ph2012★ 9 cited
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…