Parameterization of quantum walks on cycles
Shuji Kuriki, Md Sams Afif Nirjhor, Hiromichi Ohno · arXiv (Cornell University) · 2020
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 $N$ vertices are parameterized by $2N$ real parameters. Moreover, the ranges of two of the parameters are restricted, and the ranges depend on the parity of $N$.