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Parameterization of quantum walks on cycles

Mathematical Physics 2020-06-24 v1 math.MP Quantum Physics

Abstract

This study investigate the unitary equivalence classes of quantum walks on cycles. We show that unitary equivalence classes of quantum walks on a cycle with NN vertices are parameterized by 2N2N real parameters. Moreover, the ranges of two of the parameters are restricted, and the ranges depend on the parity of NN.

Keywords

Cite

@article{arxiv.2006.12678,
  title  = {Parameterization of quantum walks on cycles},
  author = {Shuji Kuriki and Md Sams Afif Nirjhor and Hiromichi Ohno},
  journal= {arXiv preprint arXiv:2006.12678},
  year   = {2020}
}

Comments

12 pages

R2 v1 2026-06-23T16:32:26.973Z