12 citations · 12 across the 5 of their papers we have counts for
3 papers · 1 filter
Limit theorems for discrete-time quantum walks on trees
Kota Chisaki, Masatoshi Hamada, Norio Konno +1
We consider a discrete-time quantum walk W_t given by the Grover transformation on the Cayley tree. We reduce W_t to a quantum walk X_t on a half line with a wall at the origin. Th…
Orthogonal polynomials induced by discrete-time quantum walks in one dimension
Masatoshi Hamada, Norio Konno, Wojciech Mlotkowski
In this paper we obtain some properties of orthogonal polynomials given by a weight function which is a limit density of a rescaled discrete-time quantum walk on the line.
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…