def PauliZ(local_space, states=None):
    r"""Pauli-type Z-operator

    .. math::

        \hat{\sigma}_x = \begin{pmatrix}
            1 & 0 \\
            0 & -1
        \end{pmatrix}

    on an arbitrary two-level system.

    See :func:`PauliX`
    """
    local_space, states = _get_pauli_args(local_space, states)
    g, e = states
    return (
        LocalProjector(g, hs=local_space) - LocalProjector(e, hs=local_space))
r"""Pauli-type Z-operator

    .. math::

        \hat{\sigma}_x = \begin{pmatrix}
            1 & 0 \\
            0 & -1
        \end{pmatrix}

    on an arbitrary two-level system.

    See :func:`PauliX`