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6 三步量子游走实现量子傅里叶变换的构造解

Table 6 The empirical solution of realizing quantum Fourier transform based on 3 step quantum random walk

{\overset{?}{H}}_{c}

{\overset{?}{H}}_{c}

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

\frac{1}{\sqrt[]{2}} [\begin{matrix} 1 & - 1 \\ 1 & 1 \end{matrix}]

\frac{1}{\sqrt[]{2}} [\begin{matrix} i & 1 \\ - i & 1 \end{matrix}]

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