toqito.matrix_props.kp_norm

Computes the Kp-norm for matrices or vectors.

Module Contents

toqito.matrix_props.kp_norm.kp_norm(mat, k, p)

Compute the kp_norm of vector or matrix.

Calculate the p-norm of a vector or the k-largest singular values of a matrix.

Examples

To compute the p-norm of a vector

```python exec=”1” source=”above” import numpy as np from toqito.states import bell from toqito.matrix_props import kp_norm

print(np.around(kp_norm(bell(0), 1, np.inf), decimals=2)) ```

To compute the k-largest singular values of a matrix:

```python exec=”1” source=”above” import numpy as np from toqito.matrix_props import kp_norm from toqito.rand import random_unitary

print(np.around(kp_norm(random_unitary(5), 5, 2), decimals=2)) ```

Parameters:

• mat (numpy.ndarray) – 2D numpy ndarray

• k (int) – The number of singular values to take.

• p (int) – The order of the norm.

Returns:

The kp-norm of a matrix.

Return type:

float | numpy.floating