code: def binary_to_pauli(
      binary_vector, wire_map=None
  ):  # pylint: disable=too-many-branches
      """Converts a binary vector of even dimension to an Observable instance.
  
      This functions follows the convention that the first half of binary vector components specify
      PauliX placements while the last half specify PauliZ placements.
  
      Args:
          binary_vector (Union[list, tuple, array]): binary vector of even dimension representing a
              unique Pauli word
          wire_map (dict): dictionary containing all wire labels used in the Pauli word as keys, and
              unique integer labels as their values
  
      Returns:
          Tensor: The Pauli word corresponding to the input binary vector. Note
          that if a zero vector is input, then the resulting Pauli word will be
          an :class:`~.Identity` instance.
  
      Raises:
          TypeError: if length of binary vector is not even, or if vector does not have strictly
              binary components
  
      **Example**
  
      If ``wire_map`` is unspecified, the Pauli operations follow the same enumerations as the vector
      components, i.e., the ``i`` and ``N+i`` components specify the Pauli operation on wire ``i``,
  
      >>> binary_to_pauli([0,1,1,0,1,0])
      Tensor(PauliY(wires=[1]), PauliX(wires=[2]))
  
      An arbitrary labelling can be assigned by using ``wire_map``:
  
      >>> wire_map = {'a': 0, 'b': 1, 'c': 2}
      >>> binary_to_pauli([0,1,1,0,1,0], wire_map=wire_map)
      Tensor(PauliY(wires=['b']), PauliX(wires=['c']))
  
      Note that the values of ``wire_map``, if specified, must be ``0,1,..., N``,
      where ``N`` is the dimension of the vector divided by two, i.e.,
      ``list(wire_map.values())`` must be ``list(range(len(binary_vector)/2))``.
      """
  
      if isinstance(binary_vector, (list, tuple)):
          binary_vector = np.asarray(binary_vector)
  
      if len(binary_vector) % 2 != 0:
          raise ValueError(
              f"Length of binary_vector must be even, instead got vector of shape {np.shape(binary_vector)}."
          )
  
      if not np.array_equal(binary_vector, binary_vector.astype(bool)):
          raise ValueError(
              f"Input vector must have strictly binary components, instead got {binary_vector}."
          )
  
      n_qubits = len(binary_vector) // 2
  
      if wire_map is None:
          label_map = {i: i for i in range(n_qubits)}
      else:
          if set(wire_map.values()) != set(range(n_qubits)):
              raise ValueError(
                  f"The values of wire_map must be integers 0 to N, for 2N-dimensional binary vector."
                  f" Instead got wire_map values: {wire_map.values()}"
              )
          label_map = {
              explicit_index: wire_label
              for wire_label, explicit_index in wire_map.items()
          }
  
      pauli_word = None
      for i in range(n_qubits):
          operation = None
          if binary_vector[i] == 1 and binary_vector[n_qubits + i] == 0:
              operation = PauliX(wires=Wires([label_map[i]]))
  
          elif (
              binary_vector[i] == 1 and binary_vector[n_qubits + i] == 1
          ):
              operation = PauliY(wires=Wires([label_map[i]]))
  
          elif (
              binary_vector[i] == 0 and binary_vector[n_qubits + i] == 1
          ):
              operation = PauliZ(wires=Wires([label_map[i]]))
  
          if operation is not None:
              if pauli_word is None:
                  pauli_word = operation
              else:
                  pauli_word @= operation
  
      if pauli_word is None:
          return Identity(wires=list(label_map.values())[0])
  
      return pauli_word
  
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 11 for calling a global function with example usage: binary_to_pauli(binary_vector, wire_map) and returns: pauli_word, Identity