基于随机梯度下降算法实现对环上量子游走的动态完全控制

邵玉豪, 林嘉懿, 吴盛俊

Dynamic control of full quantum walk on a cycle based on stochastic gradient descent algorithm

Yuhao Shao, Jiayi Lin, Shengjun Wu

表3 四步量子游走实现

\overset{?}{V} = {\overset{?}{I}}_{c} ? {\overset{?}{U}}_{p}

的构造解

Table 3 The empirical solution of realizing

\overset{?}{V} = {\overset{?}{I}}_{c} ? {\overset{?}{U}}_{p}

based on 4 step quantum random walk

{\overset{?}{I}}_{c}

[\begin{matrix} u_{00} & u_{01} \\ u_{01}^{?} & - u_{00}^{?} \end{matrix}]

{\overset{?}{I}}_{c}

{\overset{?}{I}}_{c}

{\overset{?}{X}}_{c}

[\begin{matrix} u_{00}^{?} & - u_{01}^{?} \\ u_{01} & u_{00} \end{matrix}]

(u_{00} u_{11} - u_{01} u_{10}) [\begin{matrix} 0 & - 1 \\ 1 & 0 \end{matrix}]

{\overset{?}{I}}_{c}