论文标题

量子步行在周期上的参数化

Parameterization of quantum walks on cycles

论文作者

Kuriki, Shuji, Nirjhor, Md Sams Afif, Ohno, Hiromichi

论文摘要

这项研究研究了量子行走的单一等效类别。我们表明,在$ n $顶点的周期中,统一的量子步行类别的量子等效类别由$ 2N $真实参数进行了参数化。此外,两个参数的范围受到限制,范围取决于$ n $的奇偶校验。

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 $N$.

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