def METHOD_NAME(
    *coeffs_and_time, wires, hamiltonian, n
):  # pylint: disable=arguments-differ,unused-argument
    r"""Representation of the operator as a product of other operators.
    .. math:: O = O_1 O_2 \dots O_n.
    .. seealso:: :meth:`~.ApproxTimeEvolution.decomposition`.
    Args:
        *coeffs_and_time (TensorLike): coefficients of the Hamiltonian, appended by the time.
        wires (Any or Iterable[Any]): wires that the operator acts on
        hamiltonian (.Hamiltonian): The Hamiltonian defining the
           time-evolution operator. The Hamiltonian must be explicitly written
           in terms of products of Pauli gates (:class:`~.PauliX`, :class:`~.PauliY`,
           :class:`~.PauliZ`, and :class:`~.Identity`).
        n (int): The number of Trotter steps used when approximating the time-evolution operator.
    Returns:
        list[.Operator]: decomposition of the operator
    .. code-block:: python
        import pennylane as qml
        from pennylane import ApproxTimeEvolution
        num_qubits = 2
        hamiltonian = qml.Hamiltonian(
            [0.1, 0.2, 0.3], [qml.PauliZ(0) @ qml.PauliZ(1), qml.PauliX(0), qml.PauliX(1)]
        )
        evolution_time = 0.5
        trotter_steps = 1
        coeffs_and_time = [*hamiltonian.coeffs, evolution_time]
    >>> ApproxTimeEvolution.compute_decomposition(
    ...     *coeffs_and_time, wires=range(num_qubits), n=trotter_steps, hamiltonian=hamiltonian
    ... )
    [PauliRot(0.1, ZZ, wires=[0, 1]), PauliRot(0.2, X, wires=[0]), PauliRot(0.3, X, wires=[1])]
    """
    pauli = {"Identity": "I", "PauliX": "X", "PauliY": "Y", "PauliZ": "Z"}
    theta = []
    pauli_words = []
    wires = []
    coeffs = coeffs_and_time[:-1]
    time = coeffs_and_time[-1]
    for i, term in enumerate(hamiltonian.ops):
        word = ""
        try:
            if isinstance(term.name, str):
                word = pauli[term.name]
            if isinstance(term.name, list):
                word = "".join(pauli[j] for j in term.name)
        except KeyError as error:
            raise ValueError(
                f"hamiltonian must be written in terms of Pauli matrices, got {error}"
            ) from error
        # skips terms composed solely of identities
        if word.count("I") != len(word):
            theta.append((2 * time * coeffs[i]) / n)
            pauli_words.append(word)
            wires.append(term.wires)
    op_list = []
    for i in range(n):
        for j, term in enumerate(pauli_words):
            op_list.append(PauliRot(theta[j], term, wires=wires[j]))
    return op_list