code: def paulix_ops(
      generators, num_qubits
  ):  # pylint: disable=protected-access
      r"""Generate the single qubit Pauli-X operators :math:`\sigma^{x}_{i}` for each symmetry :math:`\tau_j`,
      such that it anti-commutes with :math:`\tau_j` and commutes with all others symmetries :math:`\tau_{k\neq j}`.
      These are required to obtain the Clifford operators :math:`U` for the Hamiltonian :math:`H`.
  
      Args:
          generators (list[Operator]): list of generators of symmetries, :math:`\tau`'s,
              for the Hamiltonian
          num_qubits (int): number of wires required to define the Hamiltonian
  
      Return:
          list[Observable]: list of single-qubit Pauli-X operators which will be used to build the
          Clifford operators :math:`U`.
  
      **Example**
  
      >>> generators = [qml.Hamiltonian([1.0], [qml.PauliZ(0) @ qml.PauliZ(1)]),
      ...               qml.Hamiltonian([1.0], [qml.PauliZ(0) @ qml.PauliZ(2)]),
      ...               qml.Hamiltonian([1.0], [qml.PauliZ(0) @ qml.PauliZ(3)])]
      >>> paulix_ops(generators, 4)
      [PauliX(wires=[1]), PauliX(wires=[2]), PauliX(wires=[3])]
      """
      ops_generator = functools.reduce(
          lambda a, b: list(a) + list(b),
          [pauli_sentence(g) for g in generators],
      )
      bmat = _binary_matrix_from_pws(ops_generator, num_qubits)
  
      paulixops = []
      for row in range(bmat.shape[0]):
          bmatrow = bmat[row]
          bmatrest = np.delete(bmat, row, axis=0)
          # reversing the order to prioritize removing higher index wires first
          for col in range(bmat.shape[1] // 2)[::-1]:
              # Anti-commutes with the (row) and commutes with all other symmetries.
              if bmatrow[col] and np.array_equal(
                  bmatrest[:, col],
                  np.zeros(bmat.shape[0] - 1, dtype=int),
              ):
                  paulixops.append(qml.PauliX(col))
                  break
  
      return paulixops
  
imports: import functools
  import itertools
  import numpy
  import scipy
  import pennylane
  from pennylane.operation import active_new_opmath
  from pennylane.pauli import PauliSentence, PauliWord, pauli_sentence, simplify
  from pennylane.pauli.utils import _binary_matrix_from_pws
  from pennylane.wires import Wires
label_desc: Use image node_id 4 for calling a global function with example usage: paulix_ops(generators, num_qubits) and returns: paulixops