toqito.matrices.gen_pauli_x¶

Produces a generalized Pauli-X operator matrix.

Module Contents¶

toqito.matrices.gen_pauli_x.gen_pauli_x(dim)[source]¶

Produce a dim-by-dim gen_pauli_x matrix [@WikiPauliGen].

Returns the gen_pauli_x matrix of dimension dim described in [@WikiPauliGen]. The gen_pauli_x matrix generates the following dim-by-dim matrix:

[

Sigma_{1, d} = begin{pmatrix}: 0 & 0 & 0 & ldots & 0 & 1 \ 1 & 0 & 0 & ldots & 0 & 0 \ 0 & 1 & 0 & ldots & 0 & 0 \ 0 & 0 & 1 & ldots & 0 & 0 \ vdots & vdots & vdots & ddots & vdots & vdots \ 0 & 0 & 0 & ldots & 1 & 0

end{pmatrix}

]

The gen_pauli_x matrix is primarily used in the construction of the generalized Pauli operators.

Examples

The gen_pauli_x matrix generated from (d = 3) yields the following matrix:

[

Sigma_{1, 3} = begin{pmatrix}

0 & 0 & 1 \ 1 & 0 & 0 \ 0 & 1 & 0

end{pmatrix}

]

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

print(gen_pauli_x(3)) ```