예제 #1
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    def test_uccsd_hf_qpUCCD(self):
        """ paired uccd test """

        optimizer = SLSQP(maxiter=100)

        initial_state = HartreeFock(
            self.fermionic_transformation.molecule_info['num_orbitals'],
            self.fermionic_transformation.molecule_info['num_particles'],
            qubit_mapping=self.fermionic_transformation._qubit_mapping,
            two_qubit_reduction=self.fermionic_transformation._two_qubit_reduction)

        var_form = UCCSD(
            num_orbitals=self.fermionic_transformation.molecule_info['num_orbitals'],
            num_particles=self.fermionic_transformation.molecule_info['num_particles'],
            active_occupied=None, active_unoccupied=None,
            initial_state=initial_state,
            qubit_mapping=self.fermionic_transformation._qubit_mapping,
            two_qubit_reduction=self.fermionic_transformation._two_qubit_reduction,
            num_time_slices=1,
            shallow_circuit_concat=False,
            method_doubles='pucc',
            excitation_type='d'
        )

        solver = VQE(var_form=var_form, optimizer=optimizer,
                     quantum_instance=QuantumInstance(
                         backend=BasicAer.get_backend('statevector_simulator')))

        gsc = GroundStateEigensolver(self.fermionic_transformation, solver)

        result = gsc.solve(self.driver)

        self.assertAlmostEqual(result.total_energies[0], self.reference_energy_pUCCD, places=6)
    def test_tapered_op(self):
        """ tapered op test """

        optimizer = SLSQP(maxiter=1000)
        init_state = HartreeFock(
            num_orbitals=self.fermionic_transformation.molecule_info['num_orbitals'],
            qubit_mapping=self.fermionic_transformation._qubit_mapping,
            two_qubit_reduction=self.fermionic_transformation._two_qubit_reduction,
            num_particles=self.fermionic_transformation.molecule_info['num_particles'],
            sq_list=self.z2_symmetries.sq_list)

        var_form = UCCSD(
            num_orbitals=self.fermionic_transformation.molecule_info['num_orbitals'],
            num_particles=self.fermionic_transformation.molecule_info['num_particles'],
            active_occupied=None,
            active_unoccupied=None,
            initial_state=init_state,
            qubit_mapping=self.fermionic_transformation._qubit_mapping,
            two_qubit_reduction=self.fermionic_transformation._two_qubit_reduction,
            num_time_slices=1,
            z2_symmetries=self.z2_symmetries)

        solver = VQE(var_form=var_form, optimizer=optimizer,
                     quantum_instance=QuantumInstance(
                         backend=BasicAer.get_backend('statevector_simulator')))

        gsc = GroundStateEigensolver(self.fermionic_transformation, solver)

        result = gsc.solve(self.driver)
        self.assertAlmostEqual(result.total_energies[0], self.reference_energy, places=6)
예제 #3
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    def setUp(self):
        super().setUp()
        self.reference_energy = -1.1373060356951838

        self.seed = 700
        aqua_globals.random_seed = self.seed

        self.driver = HDF5Driver(
            self.get_resource_path('test_driver_hdf5.hdf5'))
        fermionic_transformation = FermionicTransformation(
            qubit_mapping=QubitMappingType.PARITY, two_qubit_reduction=False)

        self.qubit_op, _ = fermionic_transformation.transform(self.driver)
        self.fermionic_transformation = fermionic_transformation

        self.optimizer = SLSQP(maxiter=100)
        initial_state = HartreeFock(
            fermionic_transformation.molecule_info['num_orbitals'],
            fermionic_transformation.molecule_info['num_particles'],
            qubit_mapping=fermionic_transformation._qubit_mapping,
            two_qubit_reduction=fermionic_transformation._two_qubit_reduction)
        self.var_form = UCCSD(
            num_orbitals=fermionic_transformation.
            molecule_info['num_orbitals'],
            num_particles=fermionic_transformation.
            molecule_info['num_particles'],
            initial_state=initial_state,
            qubit_mapping=fermionic_transformation._qubit_mapping,
            two_qubit_reduction=fermionic_transformation._two_qubit_reduction)
예제 #4
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    def test_excitation_preserving(self):
        """Test the excitation preserving wavefunction on a chemistry example."""

        driver = HDF5Driver(self.get_resource_path('test_driver_hdf5.hdf5'))
        fermionic_transformation = FermionicTransformation(
            qubit_mapping=QubitMappingType.PARITY, two_qubit_reduction=False)

        qubit_op, _ = fermionic_transformation.transform(driver)

        optimizer = SLSQP(maxiter=100)
        initial_state = HartreeFock(
            fermionic_transformation.molecule_info['num_orbitals'],
            fermionic_transformation.molecule_info['num_particles'],
            qubit_mapping=fermionic_transformation._qubit_mapping,
            two_qubit_reduction=fermionic_transformation._two_qubit_reduction)

        wavefunction = ExcitationPreserving(qubit_op.num_qubits)
        wavefunction.compose(initial_state, front=True, inplace=True)

        solver = VQE(var_form=wavefunction,
                     optimizer=optimizer,
                     quantum_instance=QuantumInstance(
                         BasicAer.get_backend('statevector_simulator'),
                         seed_simulator=aqua_globals.random_seed,
                         seed_transpiler=aqua_globals.random_seed))

        gsc = GroundStateEigensolver(fermionic_transformation, solver)

        result = gsc.solve(driver)
        self.assertAlmostEqual(result.total_energies[0],
                               self.reference_energy,
                               places=4)
예제 #5
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    def setUp(self):
        super().setUp()
        # np.random.seed(50)
        self.seed = 50
        aqua_globals.random_seed = self.seed
        try:
            driver = PySCFDriver(atom='H .0 .0 .0; H .0 .0 0.735',
                                 unit=UnitsType.ANGSTROM,
                                 basis='sto3g')
        except QiskitChemistryError:
            self.skipTest('PYSCF driver does not appear to be installed')
            return

        molecule = driver.run()
        self.num_particles = molecule.num_alpha + molecule.num_beta
        self.num_spin_orbitals = molecule.num_orbitals * 2
        fer_op = FermionicOperator(h1=molecule.one_body_integrals,
                                   h2=molecule.two_body_integrals)
        map_type = 'PARITY'
        qubit_op = fer_op.mapping(map_type)
        self.qubit_op = Z2Symmetries.two_qubit_reduction(
            to_weighted_pauli_operator(qubit_op), self.num_particles)
        self.num_qubits = self.qubit_op.num_qubits
        self.init_state = HartreeFock(self.num_spin_orbitals,
                                      self.num_particles)
        self.var_form_base = None
    def test_iqpe(self, distance):
        """ iqpe test """
        self.log.debug('Testing End-to-End with IQPE on H2 with '
                       'inter-atomic distance %s.', distance)
        try:
            driver = PySCFDriver(atom='H .0 .0 .0; H .0 .0 {}'.format(distance),
                                 unit=UnitsType.ANGSTROM,
                                 charge=0,
                                 spin=0,
                                 basis='sto3g')
        except QiskitChemistryError:
            self.skipTest('PYSCF driver does not appear to be installed')
        molecule = driver.run()
        qubit_mapping = 'parity'
        fer_op = FermionicOperator(h1=molecule.one_body_integrals,
                                   h2=molecule.two_body_integrals)
        qubit_op = fer_op.mapping(map_type=qubit_mapping, threshold=1e-10)
        qubit_op = Z2Symmetries.two_qubit_reduction(qubit_op, 2)

        exact_eigensolver = NumPyMinimumEigensolver(qubit_op)
        results = exact_eigensolver.run()
        reference_energy = results.eigenvalue.real
        self.log.debug('The exact ground state energy is: %s', results.eigenvalue.real)

        num_particles = molecule.num_alpha + molecule.num_beta
        two_qubit_reduction = True
        num_orbitals = qubit_op.num_qubits + (2 if two_qubit_reduction else 0)

        num_time_slices = 1
        num_iterations = 6
        state_in = HartreeFock(num_orbitals, num_particles, qubit_mapping, two_qubit_reduction)
        iqpe = IQPE(qubit_op, state_in, num_time_slices, num_iterations,
                    expansion_mode='suzuki', expansion_order=2,
                    shallow_circuit_concat=True)
        backend = qiskit.BasicAer.get_backend('qasm_simulator')
        quantum_instance = QuantumInstance(backend, shots=100)

        result = iqpe.run(quantum_instance)

        self.log.debug('top result str label:     %s', result.top_measurement_label)
        self.log.debug('top result in decimal:    %s', result.top_measurement_decimal)
        self.log.debug('stretch:                  %s', result.stretch)
        self.log.debug('translation:              %s', result.translation)
        self.log.debug('final energy from QPE:    %s', result.eigenvalue.real)
        self.log.debug('reference energy:         %s', reference_energy)
        self.log.debug('ref energy (transformed): %s',
                       (reference_energy + result.translation) * result.stretch)
        self.log.debug('ref binary str label:     %s', decimal_to_binary(
            (reference_energy + result.translation) * result.stretch,
            max_num_digits=num_iterations + 3,
            fractional_part_only=True
        ))

        np.testing.assert_approx_equal(result.eigenvalue.real, reference_energy, significant=2)
 def cb_create_solver(num_particles, num_orbitals, qubit_mapping,
                      two_qubit_reduction, z2_symmetries):
     state_in = HartreeFock(num_orbitals, num_particles, qubit_mapping,
                            two_qubit_reduction, z2_symmetries.sq_list)
     iqpe = IQPE(None,
                 state_in,
                 num_time_slices=1,
                 num_iterations=6,
                 expansion_mode='suzuki',
                 expansion_order=2,
                 shallow_circuit_concat=True)
     iqpe.quantum_instance = QuantumInstance(
         BasicAer.get_backend('qasm_simulator'), shots=100)
     return iqpe
    def test_h2_one_qubit_statevector(self):
        """Test H2 with tapering and statevector backend."""
        two_qubit_reduction = True
        qubit_mapping = 'parity'
        warnings.filterwarnings('ignore', category=DeprecationWarning)
        core = Hamiltonian(transformation=TransformationType.FULL,
                           qubit_mapping=QubitMappingType.PARITY,
                           two_qubit_reduction=two_qubit_reduction,
                           freeze_core=False,
                           orbital_reduction=[])
        warnings.filterwarnings('always', category=DeprecationWarning)
        qubit_op, _ = core.run(self.molecule)

        num_orbitals = core.molecule_info['num_orbitals']
        num_particles = core.molecule_info['num_particles']

        # tapering
        z2_symmetries = Z2Symmetries.find_Z2_symmetries(qubit_op)
        # know the sector
        tapered_op = z2_symmetries.taper(qubit_op)[1]

        initial_state = HartreeFock(num_orbitals=num_orbitals,
                                    num_particles=num_particles,
                                    qubit_mapping=qubit_mapping,
                                    two_qubit_reduction=two_qubit_reduction,
                                    sq_list=tapered_op.z2_symmetries.sq_list)
        var_form = UCCSD(num_orbitals=num_orbitals,
                         num_particles=num_particles,
                         initial_state=initial_state,
                         qubit_mapping=qubit_mapping,
                         two_qubit_reduction=two_qubit_reduction,
                         z2_symmetries=tapered_op.z2_symmetries)
        optimizer = SPSA(maxiter=50)

        eom_vqe = QEomVQE(tapered_op,
                          var_form,
                          optimizer,
                          num_orbitals=num_orbitals,
                          num_particles=num_particles,
                          qubit_mapping=qubit_mapping,
                          two_qubit_reduction=two_qubit_reduction,
                          z2_symmetries=tapered_op.z2_symmetries,
                          untapered_op=qubit_op)

        backend = BasicAer.get_backend('statevector_simulator')
        quantum_instance = QuantumInstance(backend)
        result = eom_vqe.run(quantum_instance)
        np.testing.assert_array_almost_equal(self.reference,
                                             result['energies'],
                                             decimal=5)
예제 #9
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    def test_uccsd_hf_excitations(self):
        """ uccsd tapering test using all double excitations """

        # initial state
        init_state = HartreeFock(
            num_orbitals=self.fermionic_transformation.molecule_info['num_orbitals'],
            qubit_mapping=self.fermionic_transformation._qubit_mapping,
            two_qubit_reduction=self.fermionic_transformation._two_qubit_reduction,
            num_particles=self.fermionic_transformation.molecule_info['num_particles'],
            sq_list=self.fermionic_transformation.molecule_info['z2_symmetries'].sq_list)

        # check singlet excitations
        var_form = UCCSD(
            num_orbitals=self.fermionic_transformation.molecule_info['num_orbitals'],
            num_particles=self.fermionic_transformation.molecule_info['num_particles'],
            active_occupied=None, active_unoccupied=None,
            initial_state=init_state,
            qubit_mapping=self.fermionic_transformation._qubit_mapping,
            two_qubit_reduction=self.fermionic_transformation._two_qubit_reduction,
            num_time_slices=1,
            z2_symmetries=self.fermionic_transformation.molecule_info['z2_symmetries'],
            shallow_circuit_concat=False,
            method_doubles='succ',
            excitation_type='d',
            skip_commute_test=True)

        double_excitations_singlet = var_form._double_excitations
        res = TestUCCSDHartreeFock.excitation_lists_comparator(
            double_excitations_singlet, self.reference_singlet_double_excitations)
        self.assertEqual(res, True)

        # check grouped singlet excitations
        var_form = UCCSD(
            num_orbitals=self.fermionic_transformation.molecule_info['num_orbitals'],
            num_particles=self.fermionic_transformation.molecule_info['num_particles'],
            active_occupied=None, active_unoccupied=None,
            initial_state=init_state,
            qubit_mapping=self.fermionic_transformation._qubit_mapping,
            two_qubit_reduction=self.fermionic_transformation._two_qubit_reduction,
            num_time_slices=1,
            z2_symmetries=self.fermionic_transformation.molecule_info['z2_symmetries'],
            shallow_circuit_concat=False,
            method_doubles='succ_full',
            excitation_type='d',
            skip_commute_test=True)

        double_excitations_singlet_grouped = var_form._double_excitations_grouped
        res_groups = TestUCCSDHartreeFock.group_excitation_lists_comparator(
            double_excitations_singlet_grouped, self.reference_singlet_groups)
        self.assertEqual(res_groups, True)
 def cb_default_solver(num_particles, num_orbitals, qubit_mapping,
                       two_qubit_reduction, z2_symmetries):
     """ Default solver """
     initial_state = HartreeFock(num_orbitals, num_particles,
                                 qubit_mapping, two_qubit_reduction,
                                 z2_symmetries.sq_list)
     var_form = UCCSD(num_orbitals=num_orbitals,
                      num_particles=num_particles,
                      initial_state=initial_state,
                      qubit_mapping=qubit_mapping,
                      two_qubit_reduction=two_qubit_reduction,
                      z2_symmetries=z2_symmetries)
     vqe = VQE(var_form=var_form)
     vqe.quantum_instance = quantum_instance
     return vqe
 def cb_create_solver(num_particles, num_orbitals, qubit_mapping,
                      two_qubit_reduction, z2_symmetries):
     initial_state = HartreeFock(num_orbitals, num_particles,
                                 qubit_mapping, two_qubit_reduction,
                                 z2_symmetries.sq_list)
     var_form = UCCSD(num_orbitals=num_orbitals,
                      num_particles=num_particles,
                      initial_state=initial_state,
                      qubit_mapping=qubit_mapping,
                      two_qubit_reduction=two_qubit_reduction,
                      z2_symmetries=z2_symmetries)
     vqe = VQE(var_form=var_form, optimizer=SLSQP(maxiter=500))
     vqe.quantum_instance = BasicAer.get_backend(
         'statevector_simulator')
     return vqe
예제 #12
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    def test_uccsd_hf_qUCCSD(self):
        """ uccsd tapering test using all double excitations """

        fermionic_transformation = FermionicTransformation(
            transformation=TransformationType.FULL,
            qubit_mapping=QubitMappingType.PARITY,
            two_qubit_reduction=True,
            freeze_core=True,
            orbital_reduction=[],
            z2symmetry_reduction='auto'
        )

        qubit_op, _ = fermionic_transformation.transform(self.driver)

        # optimizer
        optimizer = SLSQP(maxiter=100)

        # initial state
        init_state = HartreeFock(
            num_orbitals=fermionic_transformation.molecule_info['num_orbitals'],
            qubit_mapping=fermionic_transformation._qubit_mapping,
            two_qubit_reduction=fermionic_transformation._two_qubit_reduction,
            num_particles=fermionic_transformation.molecule_info['num_particles'],
            sq_list=fermionic_transformation.molecule_info['z2_symmetries'].sq_list)

        var_form = UCCSD(
            num_orbitals=fermionic_transformation.molecule_info['num_orbitals'],
            num_particles=fermionic_transformation.molecule_info['num_particles'],
            active_occupied=None, active_unoccupied=None,
            initial_state=init_state,
            qubit_mapping=fermionic_transformation._qubit_mapping,
            two_qubit_reduction=fermionic_transformation._two_qubit_reduction,
            num_time_slices=1,
            z2_symmetries=fermionic_transformation.molecule_info['z2_symmetries'],
            shallow_circuit_concat=False,
            method_doubles='ucc',
            excitation_type='sd',
            skip_commute_test=True)

        solver = VQE(var_form=var_form, optimizer=optimizer,
                     quantum_instance=QuantumInstance(
                         backend=BasicAer.get_backend('statevector_simulator')))

        raw_result = solver.compute_minimum_eigenvalue(qubit_op, None)
        result = fermionic_transformation.interpret(raw_result)

        self.assertAlmostEqual(result.total_energies[0], self.reference_energy_UCCSD, places=6)
예제 #13
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 def get_solver(self, transformation):
     num_orbitals = transformation.molecule_info['num_orbitals']
     num_particles = transformation.molecule_info['num_particles']
     qubit_mapping = transformation.qubit_mapping
     two_qubit_reduction = transformation.molecule_info['two_qubit_reduction']
     z2_symmetries = transformation.molecule_info['z2_symmetries']
     initial_state = HartreeFock(num_orbitals, num_particles, qubit_mapping,
                                 two_qubit_reduction, z2_symmetries.sq_list)
     var_form = UCCSD(num_orbitals=num_orbitals,
                      num_particles=num_particles,
                      initial_state=initial_state,
                      qubit_mapping=qubit_mapping,
                      two_qubit_reduction=two_qubit_reduction,
                      z2_symmetries=z2_symmetries)
     vqe = VQE(var_form=var_form, quantum_instance=self._quantum_instance,
               optimizer=L_BFGS_B())
     return vqe
    def test_h2_two_qubits_statevector(self):
        """Test H2 with parity mapping and statevector backend."""
        two_qubit_reduction = True
        qubit_mapping = 'parity'
        warnings.filterwarnings('ignore', category=DeprecationWarning)
        core = Hamiltonian(transformation=TransformationType.FULL,
                           qubit_mapping=QubitMappingType.PARITY,
                           two_qubit_reduction=two_qubit_reduction,
                           freeze_core=False,
                           orbital_reduction=[])
        warnings.filterwarnings('always', category=DeprecationWarning)
        qubit_op, _ = core.run(self.molecule)

        num_orbitals = core.molecule_info['num_orbitals']
        num_particles = core.molecule_info['num_particles']

        initial_state = HartreeFock(num_orbitals=num_orbitals,
                                    num_particles=num_particles,
                                    qubit_mapping=qubit_mapping,
                                    two_qubit_reduction=two_qubit_reduction)
        var_form = UCCSD(num_orbitals=num_orbitals,
                         num_particles=num_particles,
                         initial_state=initial_state,
                         qubit_mapping=qubit_mapping,
                         two_qubit_reduction=two_qubit_reduction)
        optimizer = COBYLA(maxiter=1000, tol=1e-8)

        eom_vqe = QEomVQE(qubit_op,
                          var_form,
                          optimizer,
                          num_orbitals=num_orbitals,
                          num_particles=num_particles,
                          qubit_mapping=qubit_mapping,
                          two_qubit_reduction=two_qubit_reduction)

        backend = BasicAer.get_backend('statevector_simulator')
        quantum_instance = QuantumInstance(backend)
        result = eom_vqe.run(quantum_instance)
        np.testing.assert_array_almost_equal(self.reference,
                                             result['energies'],
                                             decimal=4)
예제 #15
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    def test_readme_sample(self):
        """ readme sample test """

        # pylint: disable=import-outside-toplevel,redefined-builtin

        def print(*args):
            """ overloads print to log values """
            if args:
                self.log.debug(args[0], *args[1:])

        # --- Exact copy of sample code ----------------------------------------

        from qiskit.chemistry import FermionicOperator
        from qiskit.chemistry.drivers import PySCFDriver, UnitsType
        from qiskit.aqua.operators import Z2Symmetries

        # Use PySCF, a classical computational chemistry software
        # package, to compute the one-body and two-body integrals in
        # molecular-orbital basis, necessary to form the Fermionic operator
        driver = PySCFDriver(atom='H .0 .0 .0; H .0 .0 0.735',
                             unit=UnitsType.ANGSTROM,
                             basis='sto3g')
        molecule = driver.run()
        num_particles = molecule.num_alpha + molecule.num_beta
        num_spin_orbitals = molecule.num_orbitals * 2

        # Build the qubit operator, which is the input to the VQE algorithm in Aqua
        ferm_op = FermionicOperator(h1=molecule.one_body_integrals,
                                    h2=molecule.two_body_integrals)
        map_type = 'PARITY'
        qubit_op = ferm_op.mapping(map_type)
        qubit_op = Z2Symmetries.two_qubit_reduction(qubit_op, num_particles)
        num_qubits = qubit_op.num_qubits

        # setup a classical optimizer for VQE
        from qiskit.aqua.components.optimizers import L_BFGS_B
        optimizer = L_BFGS_B()

        # setup the initial state for the variational form
        from qiskit.chemistry.circuit.library import HartreeFock
        init_state = HartreeFock(num_spin_orbitals, num_particles)

        # setup the variational form for VQE
        from qiskit.circuit.library import TwoLocal
        var_form = TwoLocal(num_qubits, ['ry', 'rz'], 'cz')

        # add the initial state
        var_form.compose(init_state, front=True)

        # setup and run VQE
        from qiskit.aqua.algorithms import VQE
        algorithm = VQE(qubit_op, var_form, optimizer)

        # set the backend for the quantum computation
        from qiskit import Aer
        backend = Aer.get_backend('statevector_simulator')

        result = algorithm.run(backend)
        print(result.eigenvalue.real)

        # ----------------------------------------------------------------------

        self.assertAlmostEqual(result.eigenvalue.real,
                               -1.8572750301938803,
                               places=6)
 def test_qubits_4_jw_h2(self):
     """ qubits 4 jw h2 test """
     state = HartreeFock(4, (1, 1), 'jordan_wigner', False)
     ref = QuantumCircuit(4)
     ref.x([0, 2])
     self.assertEqual(state, ref)
 def test_qubits_4_py_h2(self):
     """ qubits 4 py h2 test """
     state = HartreeFock(4, (1, 1), 'parity', False)
     ref = QuantumCircuit(4)
     ref.x([0, 1])
     self.assertEqual(state, ref)
 def test_qubits_4_bk_h2(self):
     """ qubits 4 bk h2 test """
     state = HartreeFock(4, (1, 1), 'bravyi_kitaev', False)
     ref = QuantumCircuit(4)
     ref.x([0, 1, 2])
     self.assertEqual(state, ref)
    def test_h2_bopes_sampler(self):
        """Test BOPES Sampler on H2"""
        seed = 50
        aqua_globals.random_seed = seed

        # Molecule
        dof = partial(Molecule.absolute_distance, atom_pair=(1, 0))
        m = Molecule(geometry=[['H', [0., 0., 1.]], ['H', [0., 0.45, 1.]]],
                     degrees_of_freedom=[dof])

        f_t = FermionicTransformation()
        driver = PySCFDriver(molecule=m)

        qubitop, _ = f_t.transform(driver)

        # Quantum Instance:
        shots = 1
        backend = 'statevector_simulator'
        quantum_instance = QuantumInstance(BasicAer.get_backend(backend),
                                           shots=shots)
        quantum_instance.run_config.seed_simulator = seed
        quantum_instance.compile_config['seed_transpiler'] = seed

        # Variational form
        i_state = HartreeFock(
            num_orbitals=f_t._molecule_info['num_orbitals'],
            qubit_mapping=f_t._qubit_mapping,
            two_qubit_reduction=f_t._two_qubit_reduction,
            num_particles=f_t._molecule_info['num_particles'],
            sq_list=f_t._molecule_info['z2_symmetries'].sq_list)
        var_form = RealAmplitudes(qubitop.num_qubits,
                                  reps=1,
                                  entanglement='full',
                                  skip_unentangled_qubits=False)
        var_form.compose(i_state, front=True)

        # Classical optimizer:
        # Analytic Quantum Gradient Descent (AQGD) (with Epochs)
        aqgd_max_iter = [10] + [1] * 100
        aqgd_eta = [1e0] + [1.0 / k for k in range(1, 101)]
        aqgd_momentum = [0.5] + [0.5] * 100
        optimizer = AQGD(maxiter=aqgd_max_iter,
                         eta=aqgd_eta,
                         momentum=aqgd_momentum,
                         tol=1e-6,
                         averaging=4)

        # Min Eigensolver: VQE
        solver = VQE(var_form=var_form,
                     optimizer=optimizer,
                     quantum_instance=quantum_instance,
                     expectation=PauliExpectation())

        me_gss = GroundStateEigensolver(f_t, solver)

        # BOPES sampler
        sampler = BOPESSampler(gss=me_gss)

        # absolute internuclear distance in Angstrom
        points = [0.7, 1.0, 1.3]
        results = sampler.sample(driver, points)

        points_run = results.points
        energies = results.energies

        np.testing.assert_array_almost_equal(points_run, [0.7, 1.0, 1.3])
        np.testing.assert_array_almost_equal(
            energies, [-1.13618945, -1.10115033, -1.03518627], decimal=2)
 def test_qubits_6_py_lih(self):
     """ qubits 6 py lih test """
     state = HartreeFock(10, (1, 1), 'parity', True, [1, 2])
     ref = QuantumCircuit(6)
     ref.x([0, 1])
     self.assertEqual(state, ref)
 def test_qubits_2_py_h2(self):
     """ qubits 2 py h2 test """
     state = HartreeFock(4, 2, 'parity', True)
     ref = QuantumCircuit(2)
     ref.x(0)
     self.assertEqual(state, ref)