30 citations · 169 across the 26 of their papers we have counts for
26 papers
Quantum walks on simplexes and multiple perfect state transfer
Hiroshi Miki, Satoshi Tsujimoto, Da Zhao
In this paper, we study quantum walks on the extension of association schemes. Various state transfers can be achieved on these graphs, such as multiple state transfer among extrem…
The single-indexed exceptional Krawtchouk polynomials
Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet
The Darboux transformations of Krawtchouk polynomials are investigated and all possible exceptional Krawtchouk polynomials obtainable from a single-step Darboux transformation are…
Classical and quantum walks on paths associated with exceptional Krawtchouk polynomials
Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet
Classical and quantum walks on some finite paths are introduced. It is shown that these walks have explicit solutions given in terms of exceptional Krawtchouk polynomials and their…
Perfect state transfer in two dimensions and the bivariate dual-Hahn polynomials
Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet
A new solvable two-dimensional spin lattice model defined on a regular grid of triangular shape is proposed. The hopping amplitudes between sites are related to recurrence coeffici…
Laurent skew orthogonal polynomials and related symplectic matrices
Hiroshi Miki
Particular class of skew orthogonal polynomials are introduced and investigated, which possess Laurent symmetry. They are also shown to appear as eigenfunctions of symplectic gener…
Spin Chains, Graphs and State Revival
Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet
Connections between the 1-excitation dynamics of spin lattices and quantum walks on graphs will be surveyed. Attention will be paid to perfect state transfer (PST) and fractional r…