419 citations · 448 across the 27 of their papers we have counts for
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math-ph2017
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…
math-ph2017★ 1 cited
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…