Corpus ID: 237532641

Walk/Zeta Correspondence for quantum and correlated random walks

@inproceedings{Konno2021WalkZetaCF,
  title={Walk/Zeta Correspondence for quantum and correlated random walks},
  author={Norio Konno and Shunya Tamura},
  year={2021}
}
In this paper, following the recent paper on Walk/Zeta Correspondence by the first author and his coworkers, we compute the zeta function for the threeand fourstate quantum walk and correlated random walk, and the multi-state random walk on the one-dimensional torus by using the Fourier analysis. We deal with also the four-state quantum walk and correlated random walk on the two-dimensional torus. In addition, we introduce a new class of models determined by the generalized Grover matrix… Expand

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