137 citations · 1.2k across the 79 of their papers we have counts for
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Dirac equation with ultraviolet cutoff and quantum walk
Fumihito Sato, Makoto Katori
The weak convergence theorems of the one- and two-dimensional simple quantum walks, SQW, show a striking contrast to the classical counterparts, the simple random wa…
Large Qudit Limit of One-dimensional Quantum Walks
Mitsunori Sato, Naoki Kobayashi, Makoto Katori +1
We study a series of one-dimensional discrete-time quantum-walk models labeled by half integers , introduced by Miyazaki {\it et al.}, each of which the walker'…
Limit distributions of two-dimensional quantum walks
Kyohei Watabe, Naoki Kobayashi, Makoto Katori +1
One-parameter family of discrete-time quantum-walk models on the square lattice, which includes the Grover-walk model as a special case, is analytically studied. Convergence in the…
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…
Quantum walks and orbital states of a Weyl particle
Makoto Katori, Soichi Fujino, Norio Konno
The time-evolution equation of a one-dimensional quantum walker is exactly mapped to the three-dimensional Weyl equation for a zero-mass particle with spin 1/2, in which each wave…