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8 papers · 1 filter
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…
Non-Abelian gauge field theory of the spin-orbit interaction and a perfect spin filter
Naomichi Hatano, Ryoen Shirasaki, Hiroaki Nakamura
We point out that the Rashba and Dresselhaus spin-orbit interactions in two dimensions can be regarded as a Yang-Mills non-Abelian gauge field. The physical field generated by the…
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…
A Path Integral Approach for Disordered Quantum Walks in One Dimension
Norio Konno
The present letter gives a rigorous way from quantum to classical random walks by introducing an independent random fluctuation and then taking expectations based on a path integra…
Fluctuations of Quantum Random Walks on Circles
Norio Inui, Yoshinao Konishi, Norio Konno +1
Temporal fluctuations in the Hadamard walk on circles are studied. A temporal standard deviation of probability that a quantum random walker is positive at a given site is introduc…
Limit theorems and absorption problems for quantum random walks in one dimension
Norio Konno
In this paper we consider limit theorems, symmetry of distribution, and absorption problems for two types of one-dimensional quantum random walks determined by 2 times 2 unitary ma…