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arXiv · 1702.01523

Stationary measures of three-state quantum walks on the one-dimensional lattice

Hikari Kawai·Takashi Komatsu·Norio Konno
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Abstract

In this paper, we consider stationary measures of discrete-time three-state quantum walks including the Fourier and Grover walks in the one-dimensional lattice. We give non-uniform stationary measures by solving the corresponding eigenvalue problem. Our new method is based on a reduced matrix, which is different from the generating function approach in our previous work. As a corollary, the Fourier walk on the cycle has a stationary measure with a periodicity.

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Hikari Kawai, Takashi Komatsu, Norio Konno. 2017-02-06. Stationary measures of three-state quantum walks on the one-dimensional lattice. https://arxiv.org/abs/1702.01523

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