def METHOD_NAME(self, iso):
    """Tests for the decomposition of isometries from m to n qubits with a custom tolerance"""
    if len(iso.shape) == 1:
        iso = iso.reshape((len(iso), 1))
    num_q_output = int(np.log2(iso.shape[0]))
    num_q_input = int(np.log2(iso.shape[1]))
    q = QuantumRegister(num_q_output)
    qc = QuantumCircuit(q)
    # Compute isometry with custom tolerance
    qc.isometry(iso, q[:num_q_input], q[num_q_input:], epsilon=1e-3)
    # Verify the circuit can be decomposed
    self.assertIsInstance(qc.decompose(), QuantumCircuit)
    # Decompose the gate
    qc = transpile(qc, basis_gates=["u1", "u3", "u2", "cx", "id"])
    # Simulate the decomposed gate
    simulator = BasicAer.get_backend("unitary_simulator")
    result = execute(qc, simulator).result()
    unitary = result.get_unitary(qc)
    iso_from_circuit = unitary[::, 0 : 2**num_q_input]
    self.assertTrue(np.allclose(iso_from_circuit, iso))