# index

[**@qbead/bloch-sphere**](https://qbead.gitbook.io/bloch-sphere/index)

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[@qbead/bloch-sphere](https://qbead.gitbook.io/bloch-sphere/index) / gates

## gates

A set of utilities for standard quantum gates (operators)

### Variables

| Variable                                                                          | Description                    |
| --------------------------------------------------------------------------------- | ------------------------------ |
| [not](https://qbead.gitbook.io/bloch-sphere/qbead/namespaces/gates/variables/not) | Alias for the Pauli-X operator |

### Functions

| Function                                                                                    | Description                                                                        |
| ------------------------------------------------------------------------------------------- | ---------------------------------------------------------------------------------- |
| [hadamard](https://qbead.gitbook.io/bloch-sphere/qbead/namespaces/gates/functions/hadamard) | The Hadamard operator                                                              |
| [identity](https://qbead.gitbook.io/bloch-sphere/qbead/namespaces/gates/functions/identity) | The identity operator                                                              |
| [phase](https://qbead.gitbook.io/bloch-sphere/qbead/namespaces/gates/functions/phase)       | The phase operator                                                                 |
| [rx](https://qbead.gitbook.io/bloch-sphere/qbead/namespaces/gates/functions/rx)             | Rotation around the X axis Applies a rotation of `theta` radians around the X axis |
| [ry](https://qbead.gitbook.io/bloch-sphere/qbead/namespaces/gates/functions/ry)             | Rotation around the Y axis Applies a rotation of `theta` radians around the Y axis |
| [rz](https://qbead.gitbook.io/bloch-sphere/qbead/namespaces/gates/functions/rz)             | Rotation around the Z axis Applies a rotation of `theta` radians around the Z axis |
| [x](https://qbead.gitbook.io/bloch-sphere/qbead/namespaces/gates/functions/x)               | The Pauli-X operator (also known as NOT or bit-flip operator)                      |
| [y](https://qbead.gitbook.io/bloch-sphere/qbead/namespaces/gates/functions/y)               | The Pauli-Y operator                                                               |
| [z](https://qbead.gitbook.io/bloch-sphere/qbead/namespaces/gates/functions/z)               | The Pauli-Z operator                                                               |