22 citations · 116 across the 18 of their papers we have counts for
20 papers
Interpolating walk between discrete-time quantum walk and its intrinsic random walk on graph
Yusuke Higuchi, Etsuo Segawa, Honoka Shiratori +1
We consider an interpolation with the parameter between the discrete-time quantum () and its intrinsic random () walks on a finite connected graph. Its time…
Comfortability of quantum walks on embedded graphs on surfaces
Yusuke Higuchi, Etsuo Segawa
The time evolutions of discrete-time quantum walks on graphs are determined by the local adjacency relations of the graphs. In this paper, first, we construct a discrete-time quant…
Quantum walks on graphs embedded in orientable surfaces
Yusuke Higuchi, Etsuo Segawa
A quantum walk model which reflects the -cell embedding on the orientable closed surface of a graph in the dynamics is introduced. We show that the scattering matrix is obtained…
Characterization of Green's function of discrete Schrödinger operator on a finite graph by its spanning subgraphs
Yusuke Higuchi, Etsuo Segawa
The Green's function of the discrete Schödinger operator on a finite graph is considered. This setting reproduces Laplacian and signless Laplacian by adjusting appropriate potentia…
On symmetric spectra of Hermitian adjacency matrices for non-bipartite mixed graphs
Yusuke Higuchi, Sho Kubota, Etsuo Segawa
We study the equivalence between bipartiteness and symmetry of spectra of mixed graphs, for -Hermitian adjacency matrices defined by an angle . We show that this eq…
Circuit equation of Grover walk
Yusuke Higuchi, Etsuo Segawa
We consider the Grover walk on the infinite graph in which an internal finite subgraph receives the inflow from the outside with some frequency and also radiates the outflow to the…