The Fourier and Grover walks on the two-dimensional lattice and torus

In this paper, we consider discrete-time quantum walks with moving shift (MS) and flip-flop shift (FF) on two-dimensional lattice $\mathbb{Z}^2$ and torus $\pi_N^2=(\mathbb{Z}/N)^2$. Weak limit theorems for the Grover walks on $\mathbb{Z}^2$ with MS and FF were given by Watabe et al. and Higuchi et...

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Hauptverfasser: Asano, Masahiro, Komatsu, Takashi, Konno, Norio, Narimatsu, Akihiro
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Sprache:eng
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