3 papers
quant-ph2024
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…
math.CO2023
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…
math-ph2022
Toward fixed point and pulsation quantum search on graphs driven by quantum walks with in- and out-flows: a trial to the complete graph
Yusuke Higuchi, Mohamed Sabri, Etsuo Segawa
We treat a quantum walk model with in- and out- flows at every time step from the outside. We show that this quantum walk can find the marked vertex of the complete graph with a hi…