189 citations · 1.9k across the 148 of their papers we have counts for
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Wigner formula of rotation matrices and quantum walks
Takahiro Miyazaki, Makoto Katori, Norio Konno
Quantization of a random-walk model is performed by giving a qudit (a multi-component wave function) to a walker at site and by introducing a quantum coin, which is a matrix repres…
Heterogeneity in connectivity of habitat networks saves stable coexistence of competing species
Naoki Masuda, Norio Konno
Coexistence of individuals with different species or phenotypes is often found in nature in spite of competition between them. Stable coexistence of multiple types of individuals h…
Continuous-Time Quantum Walks on Trees in Quantum Probability Theory
Norio Konno
A quantum central limit theorem for a continuous-time quantum walk on a homogeneous tree is derived from quantum probability theory. As a consequence, a new type of limit theorems…
Continuous-time quantum walks on ultrametric spaces
Norio Konno
We introduce a continuous-time quantum walk on an ultrametric space corresponding to the set of p-adic integers and compute its time-averaged probability distribution. It is shown…