419 citations · 448 across the 27 of their papers we have counts for
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Quantum Search on Simplicial Complexes
Kaname Matsue, Osamu Ogurisu, Etsuo Segawa
In this paper, we propose an extension of quantum searches on graphs driven by quantum walks to simplicial complexes. To this end, we newly define a quantum walk on simplicial comp…
Quaternionic quantum walks of Szegedy type and zeta functions of graphs
Norio Konno, Kaname Matsue, Hideo Mitsuhashi +1
We define a quaternionic extension of the Szegedy walk on a graph and study its right spectral properties. The condition for the transition matrix of the quaternionic Szegedy walk…
A note on the spectral mapping theorem of quantum walk models
Kaname Matsue, Osamu Ogurisu, Etsuo Segawa
We discuss the description of eigenspace of a quantum walk model with an associating linear operator in abstract settings of quantum walk including the Szegedy walk on grap…
Quantum walks on simplicial complexes
Kaname Matsue, Osamu Ogurisu, Etsuo Segawa
We construct a new type of quantum walks on simplicial complexes as a natural extension of the well-known Szegedy walk on graphs. One can numerically observe that our proposing qua…