> ## Documentation Index
> Fetch the complete documentation index at: https://prod-mint.classiq.io/llms.txt
> Use this file to discover all available pages before exploring further.

# Linear Pauli Rotation

Functions:

| Name                     | Description                       |
| ------------------------ | --------------------------------- |
| `linear_pauli_rotations` | \[Qmod Classiq-library function]. |

### linear\_pauli\_rotations

<pre><code>linear\_pauli\_rotations(
bases: CArray\[Pauli],
slopes: CArray\[CReal],
offsets: CArray\[CReal],
x: QArray\[QBit],
q: QArray\[QBit]
) -> None</code></pre>

\[Qmod Classiq-library function]

Performs a rotation on a series of $m$ target qubits,
where the rotation angle is a linear function of an $n$-qubit
control register.

Corresponds to the braket notation:

$$
\left|x\right\rangle _{n}\left|q\right\rangle
_{m}\rightarrow\left|x\right\rangle
_{n}\prod_{k=1}^{m}\left(\cos\left(\frac{a_{k}}{2}x+\frac{b_{k}}{2}\right)-
i\sin\left(\frac{a_{k}}{2}x+\frac{b_{k}}{2}\right)P_{k}\right)\left|q_{k}\right\rangle
$$

where $\left|x\right\rangle$ is the control register,
$\left|q\right\rangle$ is the target register, each $P_\{k\}$ is one of
the three Pauli matrices $X$, $Y$, or $Z$, and $a_\{k\}$, $b_\{k\}$ are
the user given slopes and offsets, respectively.

**Parameters:**

| Name      | Type            | Description                                                 | Default    |
| --------- | --------------- | ----------------------------------------------------------- | ---------- |
| `bases`   | `CArray[Pauli]` | List of Pauli Enums.                                        | *required* |
| `slopes`  | `CArray[CReal]` | Rotation slopes for each of the given Pauli bases.          | *required* |
| `offsets` | `CArray[CReal]` | Rotation offsets for each of the given Pauli bases.         | *required* |
| `x`       | `QArray[QBit]`  | Quantum state to apply the rotation based on its value.     | *required* |
| `q`       | `QArray[QBit]`  | List of indicator qubits for each of the given Pauli bases. | *required* |