code: def diagonalize_qwc_pauli_words(
      qwc_grouping,
  ):  # pylint: disable=too-many-branches, isinstance-second-argument-not-valid-type
      """Diagonalizes a list of mutually qubit-wise commutative Pauli words.
  
      Args:
          qwc_grouping (list[Observable]): a list of observables containing mutually
              qubit-wise commutative Pauli words
  
      Returns:
          tuple:
  
              * list[Operation]: an instance of the qwc_rotation template which
                diagonalizes the qubit-wise commuting grouping
              * list[Observable]: list of Pauli string observables diagonal in
                the computational basis
  
      Raises:
          ValueError: if any 2 elements in the input QWC grouping are not qubit-wise commutative
  
      **Example**
  
      >>> qwc_group = [qml.PauliX(0) @ qml.PauliZ(1),
                       qml.PauliX(0) @ qml.PauliY(3),
                       qml.PauliZ(1) @ qml.PauliY(3)]
      >>> diagonalize_qwc_pauli_words(qwc_group)
      ([RY(-1.5707963267948966, wires=[0]), RX(1.5707963267948966, wires=[3])],
       [PauliZ(wires=[0]) @ PauliZ(wires=[1]),
        PauliZ(wires=[0]) @ PauliZ(wires=[3]),
        PauliZ(wires=[1]) @ PauliZ(wires=[3])])
      """
  
      if not are_pauli_words_qwc(qwc_grouping):
          raise ValueError(
              "The list of Pauli words are not qubit-wise commuting."
          )
  
      if not all(
          isinstance(op, (Tensor, PauliX, PauliY, PauliZ, Identity))
          for op in qwc_grouping
      ):
          raise ValueError(
              "This function only supports Tensor products of pauli ops."
          )
  
      pauli_operators = []
      diag_terms = []
  
      paulis_with_identity = (
          qml.PauliX,
          qml.PauliY,
          qml.PauliZ,
          qml.Identity,
      )
      for term in qwc_grouping:
          diag_terms.append(diagonalize_pauli_word(term))
          if isinstance(term, Tensor):
              for sigma in term.obs:
                  if sigma.name != "Identity":
                      if not any(
                          are_identical_pauli_words(
                              sigma, existing_pauli
                          )
                          for existing_pauli in pauli_operators
                      ):
                          pauli_operators.append(sigma)
          elif isinstance(term, paulis_with_identity):
              sigma = term
              if sigma.name != "Identity":
                  if not any(
                      are_identical_pauli_words(sigma, existing_pauli)
                      for existing_pauli in pauli_operators
                  ):
                      pauli_operators.append(sigma)
  
      unitary = qwc_rotation(pauli_operators)
  
      return unitary, diag_terms
  
imports: from functools import lru_cache, reduce, singledispatch
  from itertools import product
  from typing import List, Union
  from warnings import warn
  import numpy
  import pennylane
  from pennylane.operation import Tensor
  from pennylane.ops import Hamiltonian, Identity, PauliX, PauliY, PauliZ, Prod, SProd
  from pennylane.tape import OperationRecorder
  from pennylane.wires import Wires
label_desc: Use image node_id 26 for calling a global function with example usage: diagonalize_qwc_pauli_words(qwc_grouping) and returns: unitary,  diag_terms