12 citations · 12 across the 5 of their papers we have counts for
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quant-ph2009
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…
quant-ph2009
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.