2 citations · 2 across the 1 of their papers we have counts for
2 papers
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-ph2010
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…