Ry Gate

The Ry gate is one of the Rotation operators. The Ry gate is a single-qubit rotation through angle $\theta$ (radians) around the y-axis.

$\ R_y\left ( \theta \right ) = \begin{pmatrix} \cos \left ( \frac{\theta}{2} \right ) & - \sin \left ( \frac{\theta}{2} \right) \\ \sin \left ( \frac{\theta}{2} \right) & \cos \left ( \frac{\theta}{2} \right ) \end{pmatrix}$

The angle of rotation must be specified in radians and can be positive or negative.