> ## 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.

# Qft Functions

Functions:

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

### qft\_no\_swap

<pre><code>qft\_no\_swap(
qbv: QArray\[QBit]
) -> None</code></pre>

\[Qmod Classiq-library function]

Applies the Quantum Fourier Transform (QFT) without the swap gates.

**Parameters:**

| Name  | Type           | Description                                     | Default    |
| ----- | -------------- | ----------------------------------------------- | ---------- |
| `qbv` | `QArray[QBit]` | The quantum number to which the QFT is applied. | *required* |

### qft

<pre><code>qft(
target: QArray\[QBit]
) -> None</code></pre>

\[Qmod Classiq-library function]

Performs the Quantum Fourier Transform (QFT) on `target` in-place.
Implements the following transformation:

$$
y_{k} = \frac{1}{\sqrt{N}} \sum_{j=0}^{N-1} x_j e^{2\pi i \frac{jk}{N}}
$$

**Parameters:**

| Name     | Type           | Description                          | Default    |
| -------- | -------------- | ------------------------------------ | ---------- |
| `target` | `QArray[QBit]` | The quantum object to be transformed | *required* |