17 citations · 17 across the 6 of their papers we have counts for
6 papers
Robustness of periodicity in Grover walks under a magnetic vector potential
Hiroto Sekido, Etsuo Segawa
We study the effect of magnetic vector potentials on periodic Grover walks on finite graphs. The magnetic vector potential is introduced through the framework of quantum graphs, wh…
Strongly regular and strongly walk-regular graphs that admit perfect state transfer
Sho Kubota, Hiroto Sekido, Harunobu Yata +1
We study perfect state transfer in Grover walks on two important classes of graphs: strongly regular graphs and strongly walk-regular graphs. The latter class is a generalization o…
Regular graphs to induce even periodic Grover walks
Sho Kubota, Hiroto Sekido, Kiyoto Yoshino
The interest of this paper is a characterization of graphs that induce periodic Grover walks with given periods. In previous studies, Yoshie has shown that the only graphs that ind…
Periodicity of quantum walks defined by mixed paths and mixed cycles
Sho Kubota, Hiroto Sekido, Harunobu Yata
In this paper, we determine periodicity of quantum walks defined by mixed paths and mixed cycles. By the spectral mapping theorem of quantum walks, consideration of periodicity is…
An Approximate Approach to E-optimal Designs for Weighted Polynomial Regression by Using Tchebycheff Systems and Orthogonal Polynomials
Takuma Takeuchi, Hiroto Sekido
In statistics, experimental designs are methods for making efficient experiments. E-optimal designs are the multisets of experimental conditions which minimize the maximum axis of…
An algorithm for calculating D-optimal designs for polynomial regression with prior information and its appilications
Hiroto Sekido
Optimal designs are required to make efficient statistical experiments. D-optimal designs for some models are calculated by using canonical moments. On the other hand, integrable s…