25 citations · 84 across the 13 of their papers we have counts for
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math-ph2016★ 11 cited
Sensitivity of quantum walks to boundary of two-dimensional lattices: approaches from the CGMV method and topological phases
Takako Endo, Norio Konno, Hideaki Obuse +1
In this paper, we treat quantum walks in a two-dimensional lattice with cutting edges along a straight boundary introduced by Asboth and Edge (2015 Phys.Rev. A 91 022324) in order…
quant-ph2016★ 5 cited
Stationary measures for the three-state Grover walk with one defect in one dimension
Takako Endo, Hikari Kawai, Norio Konno
We obtain stationary measures for the one-dimensional three-state Grover walk with one defect by solving the corresponding eigenvalue problem. We clarify a relation between station…
math-ph2016★ 3 cited
The stationary measure for diagonal quantum walk with one defect
Takako Endo, Hikari Kawai, Norio Konno
This study is motivated by the previous work [14]. We treat 3 types of the one-dimensional quantum walks (QWs), whose time evolutions are described by diagonal unitary matrix, and…