toqito.matrices.standard_basis

Constructs the standard basis.

Module Contents

toqito.matrices.standard_basis.standard_basis(dim, flatten=False)

Create standard basis of dimension dim.

Create a list containing the elements of the standard basis for the given dimension:

[

|1> = (1, 0, 0, …, 0)^T |2> = (0, 1, 0, …, 0)^T . . . |n> = (0, 0, 0, …, 1)^T

]

This function was inspired by [@Seshadri_2021_Git, Seshadri_2021_Theory, Seshadri_2021_Versatile]

Examples

```python exec=”1” source=”above” from toqito.matrices import standard_basis

print(standard_basis(2)) ```

Parameters:

• dim (int) – The dimension of the basis.

• flatten (bool) – If True, the basis is returned as a flattened list.

Returns:

A list of numpy.ndarray of shape (n, 1).

Return type:

list[numpy.ndarray]