7 citations · 14 across the 7 of their papers we have counts for
7 papers
A quantum searching model finding one of the edges of a subgraph in a complete graph
Yusuke Yoshie, Kiyoto Yoshino
Some of the quantum searching models have been given by perturbed quantum walks. Driving some perturbed quantum walks, we may quickly find one of the targets with high probability.…
Odd-periodic Grover walk
Yusuke Yoshie
The Grover walk is one of the most well-studied quantum walks on graphs. In this paper, we investigate its periodicity to reveal the relationship between the quantum walk and the u…
A new type of spectral mapping theorem for quantum walks with a moving shift on graphs
Sho Kubota, Kei Saito, Yusuke Yoshie
The conventional spectral mapping theorem for quantum walks can only be applied for walks employing a shift operator whose square is the identity. This theorem gives most of the ei…
Quantum search of matching on signed graphs
Etsuo Segawa, Yusuke Yoshie
We construct a quantum searching model of a signed edge driven by a quantum walk. The time evolution operator of this quantum walk provides a weighted adjacency matrix induced by t…
Periodicity of Grover walks on distance-regular graphs
Yusuke Yoshie
Characterizations graphs of some classes to induce periodic Grover walks have been studied for recent years. In particular, for the strongly regular graphs, it has been known that…
Periodicity of Grover walks on generalized Bethe trees
S. Kubota, E. Segawa, T. Taniguchi +1
This paper explains the perfect characterization of the generalized Bethe trees by analyzing the spectrum of its transition matrix.
A Characterization of the Graphs to Induce Periodic Grover Walk
Yusuke Yoshie
This paper explains the periodicity of the Grover walk on finite graphs. We characterize the graphs to induce 2, 3, 4, 5-periodic Grover walk and obtain a necessary condition of th…