Ry operation


This documentation refers to the Classic QDK, which has been replaced by the Modern QDK.

Please see https://aka.ms/qdk.api for the API documentation for the Modern QDK.

Namespace: Microsoft.Quantum.Intrinsic

Package: Microsoft.Quantum.Type2.Core

Applies a rotation about the $y$-axis by a given angle.

operation Ry (theta : Double, qubit : Qubit) : Unit is Adj + Ctl


\begin{align} R_y(\theta) \mathrel{:=} e^{-i \theta \sigma_y / 2} = \begin{bmatrix} \cos \frac{\theta}{2} & -\sin \frac{\theta}{2} \\ \sin \frac{\theta}{2} & \cos \frac{\theta}{2} \end{bmatrix}. \end{align}


theta : Double

Angle in radians about which the qubit is to be rotated.

qubit : Qubit

Qubit to which the gate should be applied.

Output : Unit


Equivalent to:

R(PauliY, theta, qubit);