quantum gate directory
$y$ Rotation
Symbol
$R_y$
Description:
A rotation about the Y axis on the Bloch sphere.
The only purely real rotation matrix from $R_x$, $R_y$, $R_z$. $$ R_y(\theta) = \exp\left(-i\frac{\theta}{2}Y\right) = \begin{bmatrix} \cos\frac{\theta}{2} & -\sin\frac{\theta}{2} \\ \sin{\frac{\theta}{2}} & \phantom{+}\cos\frac{\theta}{2} \end{bmatrix} $$
References
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