def METHOD_NAME(self):
    """Test if the quantum fisher information calculation is correct for a simple test case.
    QFI = [[1, 0], [0, 1]] - [[0, 0], [0, cos^2(a)]]
    """
    # create the circuit
    a, b = Parameter("a"), Parameter("b")
    qc = QuantumCircuit(1)
    qc.h(0)
    qc.rz(a, 0)
    qc.rx(b, 0)
    param_list = [[np.pi / 4, 0.1], [np.pi, 0.1], [np.pi / 2, 0.1]]
    correct_values = [[[1, 0], [0, 0.5]], [[1, 0], [0, 0]], [[1, 0], [0, 1]]]
    qfi = QFI(self.lcu_qgt)
    for i, param in enumerate(param_list):
        qfis = qfi.run([qc], [param]).result().qfis
        np.testing.assert_allclose(qfis[0], correct_values[i], atol=1e-3)