# Rz operation

Namespace: Microsoft.Quantum.Intrinsic

Package: Microsoft.Quantum.QSharp.Core

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

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

## Description

\begin{align} R_z(\theta) \mathrel{:=} e^{-i \theta \sigma_z / 2} = \begin{bmatrix} e^{-i \theta / 2} & 0 \\ 0 & e^{i \theta / 2} \end{bmatrix}. \end{align}

## Input

### 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

## Remarks

Equivalent to:

```
R(PauliZ, theta, qubit);
```

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