def mapping(self, map_type, threshold=0.00000001):
        """Map fermionic operator to qubit operator.

        Using multiprocess to speedup the mapping, the improvement can be
        observed when h2 is a non-sparse matrix.

        Args:
            map_type (str): case-insensitive mapping type.
                            "jordan_wigner", "parity", "bravyi_kitaev", "bksf"
            threshold (float): threshold for Pauli simplification

        Returns:
            Operator: create an Operator object in Paulis form.

        Raises:
            QiskitChemistryError: if the `map_type` can not be recognized.
        """
        """
        ####################################################################
        ############   DEFINING MAPPED FERMIONIC OPERATORS    ##############
        ####################################################################
        """

        self._map_type = map_type
        n = self._modes  # number of fermionic modes / qubits
        map_type = map_type.lower()
        if map_type == 'jordan_wigner':
            a = self._jordan_wigner_mode(n)
        elif map_type == 'parity':
            a = self._parity_mode(n)
        elif map_type == 'bravyi_kitaev':
            a = self._bravyi_kitaev_mode(n)
        elif map_type == 'bksf':
            return bksf_mapping(self)
        else:
            raise QiskitChemistryError(
                'Please specify the supported modes: '
                'jordan_wigner, parity, bravyi_kitaev, bksf')
        """
        ####################################################################
        ############    BUILDING THE MAPPED HAMILTONIAN     ################
        ####################################################################
        """
        pauli_list = Operator(paulis=[])
        if logger.isEnabledFor(logging.DEBUG):
            logger.debug("Mapping one-body terms to Qubit Hamiltonian:")
            TextProgressBar(output_handler=sys.stderr)
        results = parallel_map(
            FermionicOperator._one_body_mapping,
            [(self._h1[i, j], a[i], a[j])
             for i, j in itertools.product(range(n), repeat=2)
             if self._h1[i, j] != 0],
            task_args=(threshold, ),
            num_processes=aqua_globals.num_processes)
        for result in results:
            pauli_list += result
        pauli_list.chop(threshold=threshold)

        if logger.isEnabledFor(logging.DEBUG):
            logger.debug("Mapping two-body terms to Qubit Hamiltonian:")
            TextProgressBar(output_handler=sys.stderr)
        results = parallel_map(
            FermionicOperator._two_body_mapping,
            [(self._h2[i, j, k, m], a[i], a[j], a[k], a[m])
             for i, j, k, m in itertools.product(range(n), repeat=4)
             if self._h2[i, j, k, m] != 0],
            task_args=(threshold, ),
            num_processes=aqua_globals.num_processes)
        for result in results:
            pauli_list += result
        pauli_list.chop(threshold=threshold)

        if self._ph_trans_shift is not None:
            pauli_term = [
                self._ph_trans_shift,
                Pauli.from_label('I' * self._modes)
            ]
            pauli_list += Operator(paulis=[pauli_term])

        return pauli_list
    def mapping(self, map_type, threshold=0.00000001, num_workers=4):
        """Map fermionic operator to qubit operator.

        Using multiprocess to speedup the mapping, the improvement can be
        observed when h2 is a non-sparse matrix.

        Args:
            map_type (str): case-insensitive mapping type.
                            "jordan_wigner", "parity", "bravyi_kitaev", "bksf"
            threshold (float): threshold for Pauli simplification
            num_workers (int): number of processes used to map.

        Returns:
            Operator: create an Operator object in Paulis form.

        Raises:
            QiskitChemistryError: if the `map_type` can not be recognized.
        """
        """
        ####################################################################
        ############   DEFINING MAPPED FERMIONIC OPERATORS    ##############
        ####################################################################
        """
        self._map_type = map_type
        n = self._modes  # number of fermionic modes / qubits
        map_type = map_type.lower()
        if map_type == 'jordan_wigner':
            a = self._jordan_wigner_mode(n)
        elif map_type == 'parity':
            a = self._parity_mode(n)
        elif map_type == 'bravyi_kitaev':
            a = self._bravyi_kitaev_mode(n)
        elif map_type == 'bksf':
            return bksf_mapping(self)
        else:
            raise QiskitChemistryError(
                'Please specify the supported modes: '
                'jordan_wigner, parity, bravyi_kitaev, bksf')
        """
        ####################################################################
        ############    BUILDING THE MAPPED HAMILTONIAN     ################
        ####################################################################
        """
        max_workers = min(num_workers, multiprocessing.cpu_count())
        pauli_list = Operator(paulis=[])
        with concurrent.futures.ProcessPoolExecutor(
                max_workers=max_workers) as executor:
            # One-body
            futures = [
                executor.submit(FermionicOperator._one_body_mapping,
                                self._h1[i, j], a[i], a[j], threshold)
                for i, j in itertools.product(range(n), repeat=2)
                if self._h1[i, j] != 0
            ]

            for future in futures:
                result = future.result()
                pauli_list += result
            pauli_list.chop(threshold=threshold)

            # Two-body
            futures = [
                executor.submit(FermionicOperator._two_body_mapping,
                                self._h2[i, j, k,
                                         m], a[i], a[j], a[k], a[m], threshold)
                for i, j, k, m in itertools.product(range(n), repeat=4)
                if self._h2[i, j, k, m] != 0
            ]
            for future in futures:
                result = future.result()
                pauli_list += result
            pauli_list.chop(threshold=threshold)

        if self._ph_trans_shift is not None:
            pauli_term = [
                self._ph_trans_shift,
                Pauli.from_label('I' * self._modes)
            ]
            pauli_list += Operator(paulis=[pauli_term])

        return pauli_list