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A Characterization of the Graphs to Induce Periodic Grover Walk

Quantum Physics 2017-03-21 v1

Abstract

This paper explains the periodicity of the Grover walk on finite graphs. We characterize the graphs to induce 2, 3, 4, 5-periodic Grover walk and obtain a necessary condition of the graphs to induce an odd-periodic Grover walk.

Keywords

Cite

@article{arxiv.1703.06286,
  title  = {A Characterization of the Graphs to Induce Periodic Grover Walk},
  author = {Yusuke Yoshie},
  journal= {arXiv preprint arXiv:1703.06286},
  year   = {2017}
}

Comments

13 pages, 14 Postscript figures