97 citations · 519 across the 16 of their papers we have counts for
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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…
Relation between coined quantum walks and quantum cellular automata
Masatoshi Hamada, Norio Konno, Etsuo Segawa
Motivated by the recent work of Patel et al., this paper clarifies a connection between coined quantum walks and quantum cellular automata in a general setting. As a consequence, t…
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…
Temporal Fluctuations of Continuous-Time Quantum Random Walks on Circles
Norio Inui, Koichiro Kasahara, Yoshinao Konishi +1
This work deals with both instantaneous uniform mixing property and temporal standard deviation for continuous-time quantum random walks on circles in order to study their fluctuat…
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…