7 citations · 12 across the 8 of their papers we have counts for
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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…
math-ph2014
Trapping and spreading properties of quantum walk in homological structure
Takuya Machida, Etsuo Segawa
We attempt to extract a homological structure of two kinds of graphs by the Grover walk. The first one consists of a cycle and two semi-infinite lines and the second one is assembl…
math-ph2014
A remark on zeta functions of finite graphs via quantum walks
Yu. Higuchi, N. Konno, I. Sato +1
From the viewpoint of quantum walks, the Ihara zeta function of a finite graph can be said to be closely related to its evolution matrix. In this note we introduce another kind of…