toqito.rand.random_ginibre¶

Generates a Ginibre random matrix.

Module Contents¶

toqito.rand.random_ginibre.random_ginibre(dim_n, dim_m, seed=None)[source]¶

Generate a Ginibre random matrix [@WikiCircLaw].

Generates a random dim_n-by-dim_m Ginibre matrix.

A Ginibre random matrix is a matrix with independent and identically distributed complex standard Gaussian entries.

Ginibre random matrices are used in the construction of Wishart-random POVMs [@Heinosaari_2020_Random].

Examples

Generate a random (2)-by-(2) Ginibre random matrix.

```python exec=”1” source=”above” from toqito.rand import random_ginibre

print(random_ginibre(2, 2)) ```

It is also possible to pass a seed to this function for reproducibility.

```python exec=”1” source=”above” from toqito.rand import random_ginibre

print(random_ginibre(2, 2, seed=42)) ```

Parameters:

dim_n (int) – The number of rows of the Ginibre random matrix.
dim_m (int) – The number of columns of the Ginibre random matrix.
seed (int | None) – A seed used to instantiate numpy’s random number generator.

Returns:

A dim_n-by-dim_m Ginibre random matrix.

Return type:

numpy.ndarray