量子门

矩阵表示

Hadamard门

$\frac{1}{\sqrt{2}}\left[\begin{array}{cc}1& 1\\ 1& -1\end{array}\right]$

X门

$\left[\begin{array}{cc}0& 1\\ 1& 0\end{array}\right]$

Y门

$\left[\begin{array}{cc}0& -i\\ i& 0\end{array}\right]$

Z门

$\left[\begin{array}{cc}1& 0\\ 0& -1\end{array}\right]$

Phase门(S门)

$\left[\begin{array}{cc}1& 0\\ 0& i\end{array}\right]$

π/8门(T门)

$\left[\begin{array}{cc}1& 0\\ 0& {\text{e}}^{i\text{π}/4}\end{array}\right]$