6 citations · 8 across the 3 of their papers we have counts for
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math-ph2020
Categories of quantum walks
Hiroki Sako
We propose categories of -dimensional and multi-dimensional quantum walks. In the categories, an object is a quantum walk, and a morphism is an intertwining operator between two…
math-ph2019★ 2 cited
Intertwining operators between one-dimensional homogeneous quantum walks
Hiroki Sako
The subject of this paper is a kind of dynamical systems called quantum walks. We study one-dimensional homogeneous analytic quantum walks U. We explain how to identify the space o…
math-ph2018
Space-homogeneous quantum walks on Z from the viewpoint of complex analysis
Hayato Saigo, Hiroki Sako
The subject of this paper is quantum walks, which are expected to simulate several kinds of quantum dynamical systems. In this paper, we define analyticity for quantum walks on Z.…