code: def taper_hf(
      generators, paulixops, paulix_sector, num_electrons, num_wires
  ):
      r"""Transform a Hartree-Fock state with a Clifford operator and then taper qubits.
  
      The fermionic operators defining the molecule's Hartree-Fock (HF) state are first mapped onto a qubit operator
      using the Jordan-Wigner encoding. This operator is then transformed using the Clifford operators :math:`U`
      obtained from the :math:`\mathbb{Z}_2` symmetries of the molecular Hamiltonian resulting in a qubit operator
      that acts non-trivially only on a subset of qubits. A new, tapered HF state is built on this reduced subset
      of qubits by placing the qubits which are acted on by a Pauli-X or Pauli-Y operators in state :math:`|1\rangle`
      and leaving the rest in state :math:`|0\rangle`.
  
      Args:
          generators (list[Operator]): list of generators of symmetries, taus, for the Hamiltonian
          paulixops (list[Operation]):  list of single-qubit Pauli-X operators
          paulix_sector (list[int]): list of eigenvalues of Pauli-X operators
          num_electrons (int): number of active electrons in the system
          num_wires (int): number of wires in the system for generating the Hartree-Fock bitstring
  
      Returns:
          array(int): tapered Hartree-Fock state
  
      **Example**
  
      >>> symbols = ['He', 'H']
      >>> geometry = np.array([[0.0, 0.0, 0.0], [0.0, 0.0, 1.4588684632]])
      >>> mol = qml.qchem.Molecule(symbols, geometry, charge=1)
      >>> H, n_qubits = qml.qchem.molecular_hamiltonian(symbols, geometry, charge=1)
      >>> n_elec = mol.n_electrons
      >>> generators = qml.qchem.symmetry_generators(H)
      >>> paulixops = qml.qchem.paulix_ops(generators, 4)
      >>> paulix_sector = qml.qchem.optimal_sector(H, generators, n_elec)
      >>> taper_hf(generators, paulixops, paulix_sector, n_elec, n_qubits)
      tensor([1, 1], requires_grad=True)
      """
      # build the untapered Hartree Fock state
      hf = np.where(np.arange(num_wires) < num_electrons, 1, 0)
  
      # convert the HF state to a corresponding HF observable under the JW transform
      ferm_ps = PauliSentence({PauliWord({0: "I"}): 1.0})
      for idx, bit in enumerate(hf):
          if bit:
              ps = qml.jordan_wigner(qml.FermiC(idx), ps=True)
          else:
              ps = PauliSentence({PauliWord({idx: "I"}): 1.0})
          ferm_ps *= ps
  
      # taper the HF observable using the symmetries obtained from the molecular hamiltonian
      fermop_taper = _taper_pauli_sentence(
          ferm_ps, generators, paulixops, paulix_sector
      )
      fermop_ps = pauli_sentence(fermop_taper)
      fermop_mat = _binary_matrix_from_pws(
          list(fermop_ps), len(fermop_taper.wires)
      )
  
      # build a wireset to match wires with that of the tapered Hamiltonian
      gen_wires = Wires.all_wires(
          [generator.wires for generator in generators]
      )
      xop_wires = Wires.all_wires(
          [paulix_op.wires for paulix_op in paulixops]
      )
      wireset = Wires.unique_wires([gen_wires, xop_wires])
  
      # iterate over the terms in tapered HF observable and build the tapered HF state
      tapered_hartree_fock = []
      for col in fermop_mat.T[fermop_mat.shape[1] // 2 :]:
          if 1 in col:
              tapered_hartree_fock.append(1)
          else:
              tapered_hartree_fock.append(0)
      while len(tapered_hartree_fock) < len(wireset):
          tapered_hartree_fock.append(0)
  
      return np.array(tapered_hartree_fock).astype(int)
  
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 10 for calling a global function with example usage: taper_hf(generators, paulixops, paulix_sector, num_electrons, num_wires) and returns: np