示例#1
0
    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)
示例#2
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    def test_backend_change(self, user_expectation):
        """Test that VQE works when backend changes."""
        vqe = VQE(
            ansatz=TwoLocal(rotation_blocks=["ry", "rz"],
                            entanglement_blocks="cz"),
            optimizer=SLSQP(maxiter=2),
            expectation=user_expectation,
            quantum_instance=BasicAer.get_backend("statevector_simulator"),
        )
        result0 = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        if user_expectation is not None:
            with self.subTest("User expectation kept."):
                self.assertEqual(vqe.expectation, user_expectation)
        else:
            with self.subTest("Expectation created."):
                self.assertIsInstance(vqe.expectation, ExpectationBase)
        try:
            vqe.quantum_instance = BasicAer.get_backend("qasm_simulator")
        except Exception as ex:  # pylint: disable=broad-except
            self.fail("Failed to change backend. Error: '{}'".format(str(ex)))
            return

        result1 = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        if user_expectation is not None:
            with self.subTest(
                    "Change backend with user expectation, it is kept."):
                self.assertEqual(vqe.expectation, user_expectation)
        else:
            with self.subTest(
                    "Change backend without user expectation, one created."):
                self.assertIsInstance(vqe.expectation, ExpectationBase)

        with self.subTest("Check results."):
            self.assertEqual(len(result0.optimal_point),
                             len(result1.optimal_point))
    def test_uccsd_hf_qpUCCD(self):
        """paired uccd test"""
        self.skipTest(
            "Temporarily skip test until the changes done by "
            "https://github.com/Qiskit/qiskit-terra/pull/7551 are handled properly."
        )
        optimizer = SLSQP(maxiter=100)

        initial_state = HartreeFock(self.num_spin_orbitals, self.num_particles,
                                    self.qubit_converter)

        ansatz = PUCCD(
            self.qubit_converter,
            self.num_particles,
            self.num_spin_orbitals,
            initial_state=initial_state,
        )

        solver = VQE(
            ansatz=ansatz,
            optimizer=optimizer,
            quantum_instance=QuantumInstance(
                backend=BasicAer.get_backend("statevector_simulator")),
        )

        gsc = GroundStateEigensolver(self.qubit_converter, solver)

        result = gsc.solve(self.electronic_structure_problem)

        self.assertAlmostEqual(result.total_energies[0],
                               self.reference_energy_pUCCD,
                               places=6)
示例#4
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    def test_backend_change(self, user_expectation):
        """Test that VQE works when backend changes."""
        vqe = VQE(
            operator=self.h2_op,
            var_form=TwoLocal(rotation_blocks=['ry', 'rz'],
                              entanglement_blocks='cz'),
            optimizer=SLSQP(maxiter=2),
            expectation=user_expectation,
            quantum_instance=BasicAer.get_backend('statevector_simulator'))
        result0 = vqe.run()
        if user_expectation is not None:
            with self.subTest('User expectation kept.'):
                self.assertEqual(vqe.expectation, user_expectation)
        else:
            with self.subTest('Expectation created.'):
                self.assertIsInstance(vqe.expectation, ExpectationBase)
        try:
            vqe.set_backend(BasicAer.get_backend('qasm_simulator'))
        except Exception as ex:  # pylint: disable=broad-except
            self.fail("Failed to change backend. Error: '{}'".format(str(ex)))
            return

        result1 = vqe.run()
        if user_expectation is not None:
            with self.subTest(
                    'Change backend with user expectation, it is kept.'):
                self.assertEqual(vqe.expectation, user_expectation)
        else:
            with self.subTest(
                    'Change backend without user expectation, one created.'):
                self.assertIsInstance(vqe.expectation, ExpectationBase)

        with self.subTest('Check results.'):
            self.assertEqual(len(result0.optimal_point),
                             len(result1.optimal_point))
    def test_eval_op_qasm_aer(self):
        """Regression tests against https://github.com/Qiskit/qiskit-nature/issues/53."""
        try:
            # pylint: disable=import-outside-toplevel
            # pylint: disable=unused-import
            from qiskit import Aer

            backend = Aer.get_backend("aer_simulator")
        except ImportError as ex:  # pylint: disable=broad-except
            self.skipTest(f"Aer doesn't appear to be installed. Error: '{str(ex)}'")
            return

        solver = VQEUCCFactory(
            optimizer=SLSQP(maxiter=100),
            expectation=AerPauliExpectation(),
            include_custom=True,
            quantum_instance=QuantumInstance(
                backend=backend,
                seed_simulator=algorithm_globals.random_seed,
                seed_transpiler=algorithm_globals.random_seed,
            ),
        )
        calc = GroundStateEigensolver(self.qubit_converter, solver)
        res_qasm = calc.solve(self.electronic_structure_problem)

        hamiltonian = self.electronic_structure_problem.second_q_ops()[0]
        qubit_op = self.qubit_converter.map(hamiltonian)

        ansatz = solver.get_solver(self.electronic_structure_problem, self.qubit_converter).ansatz
        circuit = ansatz.assign_parameters(res_qasm.raw_result.optimal_point)
        mean = calc.evaluate_operators(circuit, qubit_op)

        self.assertAlmostEqual(res_qasm.eigenenergies[0], mean[0].real)
    def test_uccsd_hf_aer_statevector(self):
        """ uccsd hf test with Aer statevector """
        try:
            # pylint: disable=import-outside-toplevel
            from qiskit import Aer
            backend = Aer.get_backend('statevector_simulator')
        except ImportError as ex:  # pylint: disable=broad-except
            self.skipTest(
                "Aer doesn't appear to be installed. Error: '{}'".format(
                    str(ex)))
            return

        ansatz = self._prepare_uccsd_hf(self.qubit_converter)

        optimizer = SLSQP(maxiter=100)
        solver = VQE(ansatz=ansatz,
                     optimizer=optimizer,
                     quantum_instance=QuantumInstance(backend=backend))

        gsc = GroundStateEigensolver(self.qubit_converter, solver)

        result = gsc.solve(self.electronic_structure_problem)
        self.assertAlmostEqual(result.total_energies[0],
                               self.reference_energy,
                               places=6)
    def test_uccsd_hf_qpUCCD(self):
        """ paired uccd test """
        optimizer = SLSQP(maxiter=100)

        initial_state = HartreeFock(self.num_spin_orbitals, self.num_particles,
                                    self.qubit_converter)

        ansatz = PUCCD(self.qubit_converter,
                       self.num_particles,
                       self.num_spin_orbitals,
                       initial_state=initial_state)

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

        gsc = GroundStateEigensolver(self.qubit_converter, solver)

        result = gsc.solve(self.electronic_structure_problem)

        self.assertAlmostEqual(result.total_energies[0],
                               self.reference_energy_pUCCD,
                               places=6)
    def test_excitation_preserving(self):
        """Test the excitation preserving wavefunction on a chemistry example."""

        driver = HDF5Driver(
            self.get_resource_path('test_driver_hdf5.hdf5', 'drivers/hdf5d'))
        fermionic_transformation = \
            FermionicTransformation(qubit_mapping=FermionicQubitMappingType.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=algorithm_globals.random_seed,
                         seed_transpiler=algorithm_globals.random_seed))

        gsc = GroundStateEigensolver(fermionic_transformation, solver)

        result = gsc.solve(driver)
        self.assertAlmostEqual(result.total_energies[0],
                               self.reference_energy,
                               places=4)
示例#9
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    def test_backend_change(self, user_expectation):
        """Test that VQE works when backend changes."""
        vqe = VQE(
            ansatz=TwoLocal(rotation_blocks=["ry", "rz"],
                            entanglement_blocks="cz"),
            optimizer=SLSQP(maxiter=2),
            expectation=user_expectation,
            quantum_instance=BasicAer.get_backend("statevector_simulator"),
        )
        result0 = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        if user_expectation is not None:
            with self.subTest("User expectation kept."):
                self.assertEqual(vqe.expectation, user_expectation)

        vqe.quantum_instance = BasicAer.get_backend("qasm_simulator")

        # works also if no expectation is set, since it will be determined automatically
        result1 = vqe.compute_minimum_eigenvalue(operator=self.h2_op)

        if user_expectation is not None:
            with self.subTest(
                    "Change backend with user expectation, it is kept."):
                self.assertEqual(vqe.expectation, user_expectation)

        with self.subTest("Check results."):
            self.assertEqual(len(result0.optimal_point),
                             len(result1.optimal_point))
    def test_uccsd_hf_qUCCD0full(self):
        """singlet full uccd test"""
        optimizer = SLSQP(maxiter=100)

        initial_state = HartreeFock(self.num_spin_orbitals, self.num_particles,
                                    self.qubit_converter)

        # TODO: add `full` option
        ansatz = SUCCD(
            self.qubit_converter,
            self.num_particles,
            self.num_spin_orbitals,
            initial_state=initial_state,
        )

        solver = VQE(
            ansatz=ansatz,
            optimizer=optimizer,
            quantum_instance=QuantumInstance(
                backend=BasicAer.get_backend("statevector_simulator")),
        )

        gsc = GroundStateEigensolver(self.qubit_converter, solver)

        result = gsc.solve(self.electronic_structure_problem)

        self.assertAlmostEqual(result.total_energies[0],
                               self.reference_energy_UCCD0full,
                               places=6)
    def setUp(self):
        super().setUp()
        self.skipTest("Skip test until refactored.")
        self.reference_energy = -1.1373060356951838

        self.seed = 700
        algorithm_globals.random_seed = self.seed

        self.driver = HDF5Driver(self.get_resource_path('test_driver_hdf5.hdf5',
                                                        'drivers/hdf5d'))
        fermionic_transformation = \
            FermionicTransformation(qubit_mapping=FermionicQubitMappingType.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)
    def test_eval_op_qasm_aer(self):
        """Regression tests against https://github.com/Qiskit/qiskit-nature/issues/53."""

        backend = qiskit.providers.aer.Aer.get_backend("aer_simulator")

        solver = VQEUCCFactory(
            optimizer=SLSQP(maxiter=100),
            expectation=AerPauliExpectation(),
            include_custom=True,
            quantum_instance=QuantumInstance(
                backend=backend,
                seed_simulator=algorithm_globals.random_seed,
                seed_transpiler=algorithm_globals.random_seed,
            ),
        )
        calc = GroundStateEigensolver(self.qubit_converter, solver)
        res_qasm = calc.solve(self.electronic_structure_problem)

        hamiltonian = self.electronic_structure_problem.second_q_ops()[
            self.electronic_structure_problem.main_property_name]
        qubit_op = self.qubit_converter.map(hamiltonian)

        ansatz = solver.get_solver(self.electronic_structure_problem,
                                   self.qubit_converter).ansatz
        circuit = ansatz.assign_parameters(res_qasm.raw_result.optimal_point)
        mean = calc.evaluate_operators(circuit, qubit_op)

        self.assertAlmostEqual(res_qasm.eigenenergies[0], mean[0].real)
示例#13
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 def test_circuit_input(self):
     """Test running the VQE on a plain QuantumCircuit object."""
     wavefunction = QuantumCircuit(2).compose(EfficientSU2(2))
     optimizer = SLSQP(maxiter=50)
     vqe = VQE(self.h2_op, wavefunction, optimizer=optimizer)
     result = vqe.run(self.statevector_simulator)
     self.assertAlmostEqual(result.eigenvalue.real,
                            self.h2_energy,
                            places=5)
示例#14
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 def __init__(self):
     # H2
     self.molecule_name = "Li .0 .0 .0; H .0 .0 "
     self.backend = QuantumInstance(
         backend=Aer.get_backend("statevector_simulator"))
     self.optimizer = SLSQP(maxiter=5)
     self.vqe = VQE(ansatz=None,
                    quantum_instance=self.backend,
                    optimizer=self.optimizer)
示例#15
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    def test_ibmq(self):
        """ IBMQ VQE Test """
        from qiskit import IBMQ
        provider = IBMQ.load_account()
        backend = provider.get_backend('ibmq_qasm_simulator')
        ansatz = TwoLocal(rotation_blocks=['ry', 'rz'],
                          entanglement_blocks='cz')

        opt = SLSQP(maxiter=1)
        opt.set_max_evals_grouped(100)
        vqe = VQE(self.h2_op, ansatz, SLSQP(maxiter=2))

        result = vqe.run(backend)
        print(result)
        self.assertAlmostEqual(result.eigenvalue.real, self.h2_energy)
        np.testing.assert_array_almost_equal(result.eigenvalue.real,
                                             self.h2_energy, 5)
        self.assertEqual(len(result.optimal_point), 16)
        self.assertIsNotNone(result.cost_function_evals)
        self.assertIsNotNone(result.optimizer_time)
示例#16
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 def test_mismatching_num_qubits(self):
     """Ensuring circuit and operator mismatch is caught"""
     wavefunction = QuantumCircuit(1)
     optimizer = SLSQP(maxiter=50)
     vqd = VQD(
         k=1,
         ansatz=wavefunction,
         optimizer=optimizer,
         quantum_instance=self.statevector_simulator,
     )
     with self.assertRaises(AlgorithmError):
         _ = vqd.compute_eigenvalues(operator=self.h2_op)
示例#17
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    def test_uccsd_hf(self):
        """ uccsd hf test """
        ansatz = self._prepare_uccsd_hf(self.qubit_converter)

        optimizer = SLSQP(maxiter=100)
        backend = BasicAer.get_backend('statevector_simulator')
        solver = VQE(ansatz=ansatz, optimizer=optimizer,
                     quantum_instance=QuantumInstance(backend=backend))

        gsc = GroundStateEigensolver(self.qubit_converter, solver)

        result = gsc.solve(self.electronic_structure_problem)

        self.assertAlmostEqual(result.total_energies[0], self.reference_energy, places=6)
    def test_vqe_ucc_factory_with_user_initial_point(self):
        """Test VQEUCCFactory when using it with a user defined initial point."""

        initial_point = np.asarray(
            [1.28074029e-19, 5.92226076e-08, 1.11762559e-01])
        solver = VQEUCCFactory(
            quantum_instance=QuantumInstance(
                BasicAer.get_backend("statevector_simulator")),
            initial_point=initial_point,
            optimizer=SLSQP(maxiter=1),
        )
        calc = GroundStateEigensolver(self.qubit_converter, solver)
        res = calc.solve(self.electronic_structure_problem)
        np.testing.assert_array_almost_equal(res.raw_result.optimal_point,
                                             initial_point)
示例#19
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    def test_uccsd_hf_qUCCSD(self):
        """ uccsd tapering test using all double excitations """

        fermionic_transformation = FermionicTransformation(
            transformation=FermionicTransformationType.FULL,
            qubit_mapping=FermionicQubitMappingType.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)
示例#20
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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",
                                   "second_q/drivers/hdf5d"))

        converter = QubitConverter(ParityMapper())

        problem = ElectronicStructureProblem(driver)

        _ = problem.second_q_ops()

        particle_number = cast(
            ParticleNumber,
            problem.grouped_property_transformed.get_property(ParticleNumber))
        num_particles = (particle_number.num_alpha, particle_number.num_beta)
        num_spin_orbitals = particle_number.num_spin_orbitals

        optimizer = SLSQP(maxiter=100)

        initial_state = HartreeFock(num_spin_orbitals, num_particles,
                                    converter)

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

        solver = VQE(
            ansatz=wavefunction,
            optimizer=optimizer,
            quantum_instance=QuantumInstance(
                BasicAer.get_backend("statevector_simulator"),
                seed_simulator=algorithm_globals.random_seed,
                seed_transpiler=algorithm_globals.random_seed,
            ),
        )

        gsc = GroundStateEigensolver(converter, solver)

        result = gsc.solve(problem)
        self.assertAlmostEqual(result.total_energies[0],
                               self.reference_energy,
                               places=4)
示例#21
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    def test_vqe_optimizer(self):
        """Test running same VQE twice to re-use optimizer, then switch optimizer"""
        vqe = VQE(
            optimizer=SLSQP(),
            quantum_instance=QuantumInstance(BasicAer.get_backend("statevector_simulator")),
        )

        def run_check():
            result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
            self.assertAlmostEqual(result.eigenvalue.real, -1.85727503, places=5)

        run_check()

        with self.subTest("Optimizer re-use"):
            run_check()

        with self.subTest("Optimizer replace"):
            vqe.optimizer = L_BFGS_B()
            run_check()
示例#22
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    def test_plugin_configuration(self):
        """Tests plugin with a custom configuration."""
        config = {
            "network_layout": "sequ",
            "connectivity_type": "full",
            "depth": 0,
            "seed": 12345,
            "optimizer": SLSQP(),
        }
        transpiler_pass = UnitarySynthesis(
            basis_gates=["rx", "ry", "rz", "cx"],
            method="aqc",
            plugin_config=config)

        dag = circuit_to_dag(self._qc)
        dag = transpiler_pass.run(dag)

        approx_circuit = dag_to_circuit(dag)
        approx_unitary = Operator(approx_circuit).data

        np.testing.assert_array_almost_equal(self._target_unitary,
                                             approx_unitary, 3)
示例#23
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    def test_vqd_optimizer(self):
        """Test running same VQD twice to re-use optimizer, then switch optimizer"""
        vqd = VQD(
            k=2,
            optimizer=SLSQP(),
            quantum_instance=QuantumInstance(
                BasicAer.get_backend("statevector_simulator")),
        )

        def run_check():
            result = vqd.compute_eigenvalues(operator=self.h2_op)
            np.testing.assert_array_almost_equal(result.eigenvalues.real,
                                                 self.h2_energy_excited,
                                                 decimal=3)

        run_check()

        with self.subTest("Optimizer re-use"):
            run_check()

        with self.subTest("Optimizer replace"):
            vqd.optimizer = L_BFGS_B()
            run_check()
示例#24
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class TestVQE(QiskitAlgorithmsTestCase):
    """Test VQE"""
    def setUp(self):
        super().setUp()
        self.seed = 50
        algorithm_globals.random_seed = self.seed
        self.h2_op = (-1.052373245772859 * (I ^ I) + 0.39793742484318045 *
                      (I ^ Z) - 0.39793742484318045 * (Z ^ I) -
                      0.01128010425623538 * (Z ^ Z) + 0.18093119978423156 *
                      (X ^ X))
        self.h2_energy = -1.85727503

        self.ryrz_wavefunction = TwoLocal(rotation_blocks=["ry", "rz"],
                                          entanglement_blocks="cz")
        self.ry_wavefunction = TwoLocal(rotation_blocks="ry",
                                        entanglement_blocks="cz")

        self.qasm_simulator = QuantumInstance(
            BasicAer.get_backend("qasm_simulator"),
            shots=1024,
            seed_simulator=self.seed,
            seed_transpiler=self.seed,
        )
        self.statevector_simulator = QuantumInstance(
            BasicAer.get_backend("statevector_simulator"),
            shots=1,
            seed_simulator=self.seed,
            seed_transpiler=self.seed,
        )

    def test_basic_aer_statevector(self):
        """Test the VQE on BasicAer's statevector simulator."""
        wavefunction = self.ryrz_wavefunction
        vqe = VQE(
            ansatz=wavefunction,
            optimizer=L_BFGS_B(),
            quantum_instance=QuantumInstance(
                BasicAer.get_backend("statevector_simulator"),
                basis_gates=["u1", "u2", "u3", "cx", "id"],
                coupling_map=[[0, 1]],
                seed_simulator=algorithm_globals.random_seed,
                seed_transpiler=algorithm_globals.random_seed,
            ),
        )

        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)

        with self.subTest(msg="test eigenvalue"):
            self.assertAlmostEqual(result.eigenvalue.real, self.h2_energy)

        with self.subTest(msg="test dimension of optimal point"):
            self.assertEqual(len(result.optimal_point), 16)

        with self.subTest(msg="assert cost_function_evals is set"):
            self.assertIsNotNone(result.cost_function_evals)

        with self.subTest(msg="assert optimizer_time is set"):
            self.assertIsNotNone(result.optimizer_time)

    def test_circuit_input(self):
        """Test running the VQE on a plain QuantumCircuit object."""
        wavefunction = QuantumCircuit(2).compose(EfficientSU2(2))
        optimizer = SLSQP(maxiter=50)
        vqe = VQE(ansatz=wavefunction,
                  optimizer=optimizer,
                  quantum_instance=self.statevector_simulator)
        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=5)

    @data(
        (MatrixExpectation(), 1),
        (AerPauliExpectation(), 1),
        (PauliExpectation(), 2),
    )
    @unpack
    def test_construct_circuit(self, expectation, num_circuits):
        """Test construct circuits returns QuantumCircuits and the right number of them."""
        try:
            wavefunction = EfficientSU2(2, reps=1)
            vqe = VQE(ansatz=wavefunction, expectation=expectation)
            params = [0] * wavefunction.num_parameters
            circuits = vqe.construct_circuit(parameter=params,
                                             operator=self.h2_op)

            self.assertEqual(len(circuits), num_circuits)
            for circuit in circuits:
                self.assertIsInstance(circuit, QuantumCircuit)
        except MissingOptionalLibraryError as ex:
            self.skipTest(str(ex))
            return

    def test_missing_varform_params(self):
        """Test specifying a variational form with no parameters raises an error."""
        circuit = QuantumCircuit(self.h2_op.num_qubits)
        vqe = VQE(
            ansatz=circuit,
            quantum_instance=BasicAer.get_backend("statevector_simulator"))
        with self.assertRaises(RuntimeError):
            vqe.compute_minimum_eigenvalue(operator=self.h2_op)

    @data(
        (SLSQP(maxiter=50), 5, 4),
        (SPSA(maxiter=150), 2, 2),  # max_evals_grouped=n or =2 if n>2
    )
    @unpack
    def test_max_evals_grouped(self, optimizer, places, max_evals_grouped):
        """VQE Optimizers test"""
        vqe = VQE(
            ansatz=self.ryrz_wavefunction,
            optimizer=optimizer,
            max_evals_grouped=max_evals_grouped,
            quantum_instance=self.statevector_simulator,
        )
        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=places)

    def test_basic_aer_qasm(self):
        """Test the VQE on BasicAer's QASM simulator."""
        optimizer = SPSA(maxiter=300, last_avg=5)
        wavefunction = self.ry_wavefunction

        vqe = VQE(
            ansatz=wavefunction,
            optimizer=optimizer,
            max_evals_grouped=1,
            quantum_instance=self.qasm_simulator,
        )

        # TODO benchmark this later.
        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        self.assertAlmostEqual(result.eigenvalue.real, -1.86823, places=2)

    def test_qasm_eigenvector_normalized(self):
        """Test VQE with qasm_simulator returns normalized eigenvector."""
        wavefunction = self.ry_wavefunction
        vqe = VQE(ansatz=wavefunction, quantum_instance=self.qasm_simulator)
        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)

        amplitudes = list(result.eigenstate.values())
        self.assertAlmostEqual(np.linalg.norm(amplitudes), 1.0, places=4)

    @unittest.skipUnless(has_aer(),
                         "qiskit-aer doesn't appear to be installed.")
    def test_with_aer_statevector(self):
        """Test VQE with Aer's statevector_simulator."""
        backend = Aer.get_backend("aer_simulator_statevector")
        wavefunction = self.ry_wavefunction
        optimizer = L_BFGS_B()

        quantum_instance = QuantumInstance(
            backend,
            seed_simulator=algorithm_globals.random_seed,
            seed_transpiler=algorithm_globals.random_seed,
        )
        vqe = VQE(
            ansatz=wavefunction,
            optimizer=optimizer,
            max_evals_grouped=1,
            quantum_instance=quantum_instance,
        )

        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=6)

    @unittest.skipUnless(has_aer(),
                         "qiskit-aer doesn't appear to be installed.")
    def test_with_aer_qasm(self):
        """Test VQE with Aer's qasm_simulator."""
        backend = Aer.get_backend("aer_simulator")
        optimizer = SPSA(maxiter=200, last_avg=5)
        wavefunction = self.ry_wavefunction

        quantum_instance = QuantumInstance(
            backend,
            seed_simulator=algorithm_globals.random_seed,
            seed_transpiler=algorithm_globals.random_seed,
        )

        vqe = VQE(
            ansatz=wavefunction,
            optimizer=optimizer,
            expectation=PauliExpectation(),
            quantum_instance=quantum_instance,
        )

        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)

        self.assertAlmostEqual(result.eigenvalue.real, -1.86305, places=2)

    @unittest.skipUnless(has_aer(),
                         "qiskit-aer doesn't appear to be installed.")
    def test_with_aer_qasm_snapshot_mode(self):
        """Test the VQE using Aer's qasm_simulator snapshot mode."""

        backend = Aer.get_backend("aer_simulator")
        optimizer = L_BFGS_B()
        wavefunction = self.ry_wavefunction

        quantum_instance = QuantumInstance(
            backend,
            shots=1,
            seed_simulator=algorithm_globals.random_seed,
            seed_transpiler=algorithm_globals.random_seed,
        )
        vqe = VQE(
            ansatz=wavefunction,
            optimizer=optimizer,
            expectation=AerPauliExpectation(),
            quantum_instance=quantum_instance,
        )

        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=6)

    @unittest.skipUnless(has_aer(),
                         "qiskit-aer doesn't appear to be installed.")
    @data(
        CG(maxiter=1),
        L_BFGS_B(maxfun=1),
        P_BFGS(maxfun=1, max_processes=0),
        SLSQP(maxiter=1),
        TNC(maxiter=1),
    )
    def test_with_gradient(self, optimizer):
        """Test VQE using Gradient()."""
        quantum_instance = QuantumInstance(
            backend=Aer.get_backend("qasm_simulator"),
            shots=1,
            seed_simulator=algorithm_globals.random_seed,
            seed_transpiler=algorithm_globals.random_seed,
        )
        vqe = VQE(
            ansatz=self.ry_wavefunction,
            optimizer=optimizer,
            gradient=Gradient(),
            expectation=AerPauliExpectation(),
            quantum_instance=quantum_instance,
            max_evals_grouped=1000,
        )
        vqe.compute_minimum_eigenvalue(operator=self.h2_op)

    def test_with_two_qubit_reduction(self):
        """Test the VQE using TwoQubitReduction."""
        qubit_op = PauliSumOp.from_list([
            ("IIII", -0.8105479805373266),
            ("IIIZ", 0.17218393261915552),
            ("IIZZ", -0.22575349222402472),
            ("IZZI", 0.1721839326191556),
            ("ZZII", -0.22575349222402466),
            ("IIZI", 0.1209126326177663),
            ("IZZZ", 0.16892753870087912),
            ("IXZX", -0.045232799946057854),
            ("ZXIX", 0.045232799946057854),
            ("IXIX", 0.045232799946057854),
            ("ZXZX", -0.045232799946057854),
            ("ZZIZ", 0.16614543256382414),
            ("IZIZ", 0.16614543256382414),
            ("ZZZZ", 0.17464343068300453),
            ("ZIZI", 0.1209126326177663),
        ])
        tapered_qubit_op = TwoQubitReduction(num_particles=2).convert(qubit_op)
        for simulator in [self.qasm_simulator, self.statevector_simulator]:
            with self.subTest(f"Test for {simulator}."):
                vqe = VQE(
                    self.ry_wavefunction,
                    SPSA(maxiter=300, last_avg=5),
                    quantum_instance=simulator,
                )
                result = vqe.compute_minimum_eigenvalue(tapered_qubit_op)
                energy = -1.868 if simulator == self.qasm_simulator else self.h2_energy
                self.assertAlmostEqual(result.eigenvalue.real,
                                       energy,
                                       places=2)

    def test_callback(self):
        """Test the callback on VQE."""
        history = {"eval_count": [], "parameters": [], "mean": [], "std": []}

        def store_intermediate_result(eval_count, parameters, mean, std):
            history["eval_count"].append(eval_count)
            history["parameters"].append(parameters)
            history["mean"].append(mean)
            history["std"].append(std)

        optimizer = COBYLA(maxiter=3)
        wavefunction = self.ry_wavefunction

        vqe = VQE(
            ansatz=wavefunction,
            optimizer=optimizer,
            callback=store_intermediate_result,
            quantum_instance=self.qasm_simulator,
        )
        vqe.compute_minimum_eigenvalue(operator=self.h2_op)

        self.assertTrue(
            all(isinstance(count, int) for count in history["eval_count"]))
        self.assertTrue(
            all(isinstance(mean, float) for mean in history["mean"]))
        self.assertTrue(all(isinstance(std, float) for std in history["std"]))
        for params in history["parameters"]:
            self.assertTrue(all(isinstance(param, float) for param in params))

    def test_reuse(self):
        """Test re-using a VQE algorithm instance."""
        vqe = VQE()
        with self.subTest(msg="assert running empty raises AlgorithmError"):
            with self.assertRaises(AlgorithmError):
                _ = vqe.compute_minimum_eigenvalue(operator=self.h2_op)

        ansatz = TwoLocal(rotation_blocks=["ry", "rz"],
                          entanglement_blocks="cz")
        vqe.ansatz = ansatz
        with self.subTest(msg="assert missing operator raises AlgorithmError"):
            with self.assertRaises(AlgorithmError):
                _ = vqe.compute_minimum_eigenvalue(operator=self.h2_op)

        vqe.expectation = MatrixExpectation()
        vqe.quantum_instance = self.statevector_simulator
        with self.subTest(msg="assert VQE works once all info is available"):
            result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
            self.assertAlmostEqual(result.eigenvalue.real,
                                   self.h2_energy,
                                   places=5)

        operator = PrimitiveOp(
            np.array([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 2, 0], [0, 0, 0,
                                                                  3]]))

        with self.subTest(msg="assert minimum eigensolver interface works"):
            result = vqe.compute_minimum_eigenvalue(operator=operator)
            self.assertAlmostEqual(result.eigenvalue.real, -1.0, places=5)

    def test_vqe_optimizer(self):
        """Test running same VQE twice to re-use optimizer, then switch optimizer"""
        vqe = VQE(
            optimizer=SLSQP(),
            quantum_instance=QuantumInstance(
                BasicAer.get_backend("statevector_simulator")),
        )

        def run_check():
            result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
            self.assertAlmostEqual(result.eigenvalue.real,
                                   -1.85727503,
                                   places=5)

        run_check()

        with self.subTest("Optimizer re-use"):
            run_check()

        with self.subTest("Optimizer replace"):
            vqe.optimizer = L_BFGS_B()
            run_check()

    @data(MatrixExpectation(), None)
    def test_backend_change(self, user_expectation):
        """Test that VQE works when backend changes."""
        vqe = VQE(
            ansatz=TwoLocal(rotation_blocks=["ry", "rz"],
                            entanglement_blocks="cz"),
            optimizer=SLSQP(maxiter=2),
            expectation=user_expectation,
            quantum_instance=BasicAer.get_backend("statevector_simulator"),
        )
        result0 = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        if user_expectation is not None:
            with self.subTest("User expectation kept."):
                self.assertEqual(vqe.expectation, user_expectation)

        vqe.quantum_instance = BasicAer.get_backend("qasm_simulator")

        # works also if no expectation is set, since it will be determined automatically
        result1 = vqe.compute_minimum_eigenvalue(operator=self.h2_op)

        if user_expectation is not None:
            with self.subTest(
                    "Change backend with user expectation, it is kept."):
                self.assertEqual(vqe.expectation, user_expectation)

        with self.subTest("Check results."):
            self.assertEqual(len(result0.optimal_point),
                             len(result1.optimal_point))

    def test_batch_evaluate_with_qnspsa(self):
        """Test batch evaluating with QNSPSA works."""
        ansatz = TwoLocal(2,
                          rotation_blocks=["ry", "rz"],
                          entanglement_blocks="cz")

        wrapped_backend = BasicAer.get_backend("qasm_simulator")
        inner_backend = BasicAer.get_backend("statevector_simulator")

        callcount = {"count": 0}

        def wrapped_run(circuits, **kwargs):
            kwargs["callcount"]["count"] += 1
            return inner_backend.run(circuits)

        wrapped_backend.run = partial(wrapped_run, callcount=callcount)

        fidelity = QNSPSA.get_fidelity(ansatz, backend=wrapped_backend)
        qnspsa = QNSPSA(fidelity, maxiter=5)

        vqe = VQE(
            ansatz=ansatz,
            optimizer=qnspsa,
            max_evals_grouped=100,
            quantum_instance=wrapped_backend,
        )
        _ = vqe.compute_minimum_eigenvalue(Z ^ Z)

        # 1 calibration + 1 stddev estimation + 1 initial blocking
        # + 5 (1 loss + 1 fidelity + 1 blocking) + 1 return loss + 1 VQE eval
        expected = 1 + 1 + 1 + 5 * 3 + 1 + 1

        self.assertEqual(callcount["count"], expected)

    def test_set_ansatz_to_none(self):
        """Tests that setting the ansatz to None results in the default behavior"""
        vqe = VQE(
            ansatz=self.ryrz_wavefunction,
            optimizer=L_BFGS_B(),
            quantum_instance=self.statevector_simulator,
        )
        vqe.ansatz = None
        self.assertIsInstance(vqe.ansatz, RealAmplitudes)

    def test_set_optimizer_to_none(self):
        """Tests that setting the optimizer to None results in the default behavior"""
        vqe = VQE(
            ansatz=self.ryrz_wavefunction,
            optimizer=L_BFGS_B(),
            quantum_instance=self.statevector_simulator,
        )
        vqe.optimizer = None
        self.assertIsInstance(vqe.optimizer, SLSQP)

    def test_optimizer_scipy_callable(self):
        """Test passing a SciPy optimizer directly as callable."""
        vqe = VQE(
            optimizer=partial(scipy_minimize,
                              method="L-BFGS-B",
                              options={"maxiter": 2}),
            quantum_instance=self.statevector_simulator,
        )
        result = vqe.compute_minimum_eigenvalue(Z)
        self.assertEqual(result.cost_function_evals, 20)

    def test_optimizer_callable(self):
        """Test passing a optimizer directly as callable."""
        ansatz = RealAmplitudes(1, reps=1)
        vqe = VQE(ansatz=ansatz,
                  optimizer=_mock_optimizer,
                  quantum_instance=self.statevector_simulator)
        result = vqe.compute_minimum_eigenvalue(Z)
        self.assertTrue(
            np.all(result.optimal_point == np.zeros(ansatz.num_parameters)))

    def test_aux_operators_list(self):
        """Test list-based aux_operators."""
        wavefunction = self.ry_wavefunction
        vqe = VQE(ansatz=wavefunction,
                  quantum_instance=self.statevector_simulator)

        # Start with an empty list
        result = vqe.compute_minimum_eigenvalue(self.h2_op, aux_operators=[])
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=6)
        self.assertIsNone(result.aux_operator_eigenvalues)

        # Go again with two auxiliary operators
        aux_op1 = PauliSumOp.from_list([("II", 2.0)])
        aux_op2 = PauliSumOp.from_list([("II", 0.5), ("ZZ", 0.5), ("YY", 0.5),
                                        ("XX", -0.5)])
        aux_ops = [aux_op1, aux_op2]
        result = vqe.compute_minimum_eigenvalue(self.h2_op,
                                                aux_operators=aux_ops)
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=6)
        self.assertEqual(len(result.aux_operator_eigenvalues), 2)
        # expectation values
        self.assertAlmostEqual(result.aux_operator_eigenvalues[0][0],
                               2,
                               places=6)
        self.assertAlmostEqual(result.aux_operator_eigenvalues[1][0],
                               0,
                               places=6)
        # standard deviations
        self.assertAlmostEqual(result.aux_operator_eigenvalues[0][1], 0.0)
        self.assertAlmostEqual(result.aux_operator_eigenvalues[1][1], 0.0)

        # Go again with additional None and zero operators
        extra_ops = [*aux_ops, None, 0]
        result = vqe.compute_minimum_eigenvalue(self.h2_op,
                                                aux_operators=extra_ops)
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=6)
        self.assertEqual(len(result.aux_operator_eigenvalues), 4)
        # expectation values
        self.assertAlmostEqual(result.aux_operator_eigenvalues[0][0],
                               2,
                               places=6)
        self.assertAlmostEqual(result.aux_operator_eigenvalues[1][0],
                               0,
                               places=6)
        self.assertEqual(result.aux_operator_eigenvalues[2][0], 0.0)
        self.assertEqual(result.aux_operator_eigenvalues[3][0], 0.0)
        # standard deviations
        self.assertAlmostEqual(result.aux_operator_eigenvalues[0][1], 0.0)
        self.assertAlmostEqual(result.aux_operator_eigenvalues[1][1], 0.0)
        self.assertAlmostEqual(result.aux_operator_eigenvalues[2][1], 0.0)
        self.assertAlmostEqual(result.aux_operator_eigenvalues[3][1], 0.0)

    def test_aux_operators_dict(self):
        """Test dictionary compatibility of aux_operators"""
        wavefunction = self.ry_wavefunction
        vqe = VQE(ansatz=wavefunction,
                  quantum_instance=self.statevector_simulator)

        # Start with an empty dictionary
        result = vqe.compute_minimum_eigenvalue(self.h2_op, aux_operators={})
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=6)
        self.assertIsNone(result.aux_operator_eigenvalues)

        # Go again with two auxiliary operators
        aux_op1 = PauliSumOp.from_list([("II", 2.0)])
        aux_op2 = PauliSumOp.from_list([("II", 0.5), ("ZZ", 0.5), ("YY", 0.5),
                                        ("XX", -0.5)])
        aux_ops = {"aux_op1": aux_op1, "aux_op2": aux_op2}
        result = vqe.compute_minimum_eigenvalue(self.h2_op,
                                                aux_operators=aux_ops)
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=6)
        self.assertEqual(len(result.aux_operator_eigenvalues), 2)
        # expectation values
        self.assertAlmostEqual(result.aux_operator_eigenvalues["aux_op1"][0],
                               2,
                               places=6)
        self.assertAlmostEqual(result.aux_operator_eigenvalues["aux_op2"][0],
                               0,
                               places=6)
        # standard deviations
        self.assertAlmostEqual(result.aux_operator_eigenvalues["aux_op1"][1],
                               0.0)
        self.assertAlmostEqual(result.aux_operator_eigenvalues["aux_op2"][1],
                               0.0)

        # Go again with additional None and zero operators
        extra_ops = {**aux_ops, "None_operator": None, "zero_operator": 0}
        result = vqe.compute_minimum_eigenvalue(self.h2_op,
                                                aux_operators=extra_ops)
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=6)
        self.assertEqual(len(result.aux_operator_eigenvalues), 3)
        # expectation values
        self.assertAlmostEqual(result.aux_operator_eigenvalues["aux_op1"][0],
                               2,
                               places=6)
        self.assertAlmostEqual(result.aux_operator_eigenvalues["aux_op2"][0],
                               0,
                               places=6)
        self.assertEqual(result.aux_operator_eigenvalues["zero_operator"][0],
                         0.0)
        self.assertTrue(
            "None_operator" not in result.aux_operator_eigenvalues.keys())
        # standard deviations
        self.assertAlmostEqual(result.aux_operator_eigenvalues["aux_op1"][1],
                               0.0)
        self.assertAlmostEqual(result.aux_operator_eigenvalues["aux_op2"][1],
                               0.0)
        self.assertAlmostEqual(
            result.aux_operator_eigenvalues["zero_operator"][1], 0.0)

    def test_aux_operator_std_dev_pauli(self):
        """Test non-zero standard deviations of aux operators with PauliExpectation."""
        wavefunction = self.ry_wavefunction
        vqe = VQE(
            ansatz=wavefunction,
            expectation=PauliExpectation(),
            optimizer=COBYLA(maxiter=0),
            quantum_instance=self.qasm_simulator,
        )

        # Go again with two auxiliary operators
        aux_op1 = PauliSumOp.from_list([("II", 2.0)])
        aux_op2 = PauliSumOp.from_list([("II", 0.5), ("ZZ", 0.5), ("YY", 0.5),
                                        ("XX", -0.5)])
        aux_ops = [aux_op1, aux_op2]
        result = vqe.compute_minimum_eigenvalue(self.h2_op,
                                                aux_operators=aux_ops)
        self.assertEqual(len(result.aux_operator_eigenvalues), 2)
        # expectation values
        self.assertAlmostEqual(result.aux_operator_eigenvalues[0][0],
                               2.0,
                               places=6)
        self.assertAlmostEqual(result.aux_operator_eigenvalues[1][0],
                               0.6796875,
                               places=6)
        # standard deviations
        self.assertAlmostEqual(result.aux_operator_eigenvalues[0][1], 0.0)
        self.assertAlmostEqual(result.aux_operator_eigenvalues[1][1],
                               0.02534712219145965,
                               places=6)

        # Go again with additional None and zero operators
        aux_ops = [*aux_ops, None, 0]
        result = vqe.compute_minimum_eigenvalue(self.h2_op,
                                                aux_operators=aux_ops)
        self.assertEqual(len(result.aux_operator_eigenvalues), 4)
        # expectation values
        self.assertAlmostEqual(result.aux_operator_eigenvalues[0][0],
                               2.0,
                               places=6)
        self.assertAlmostEqual(result.aux_operator_eigenvalues[1][0],
                               0.57421875,
                               places=6)
        self.assertEqual(result.aux_operator_eigenvalues[2][0], 0.0)
        self.assertEqual(result.aux_operator_eigenvalues[3][0], 0.0)
        # # standard deviations
        self.assertAlmostEqual(result.aux_operator_eigenvalues[0][1], 0.0)
        self.assertAlmostEqual(result.aux_operator_eigenvalues[1][1],
                               0.026562146577166837,
                               places=6)
        self.assertAlmostEqual(result.aux_operator_eigenvalues[2][1], 0.0)
        self.assertAlmostEqual(result.aux_operator_eigenvalues[3][1], 0.0)

    @unittest.skipUnless(has_aer(),
                         "qiskit-aer doesn't appear to be installed.")
    def test_aux_operator_std_dev_aer_pauli(self):
        """Test non-zero standard deviations of aux operators with AerPauliExpectation."""
        wavefunction = self.ry_wavefunction
        vqe = VQE(
            ansatz=wavefunction,
            expectation=AerPauliExpectation(),
            optimizer=COBYLA(maxiter=0),
            quantum_instance=QuantumInstance(
                backend=Aer.get_backend("qasm_simulator"),
                shots=1,
                seed_simulator=algorithm_globals.random_seed,
                seed_transpiler=algorithm_globals.random_seed,
            ),
        )

        # Go again with two auxiliary operators
        aux_op1 = PauliSumOp.from_list([("II", 2.0)])
        aux_op2 = PauliSumOp.from_list([("II", 0.5), ("ZZ", 0.5), ("YY", 0.5),
                                        ("XX", -0.5)])
        aux_ops = [aux_op1, aux_op2]
        result = vqe.compute_minimum_eigenvalue(self.h2_op,
                                                aux_operators=aux_ops)
        self.assertEqual(len(result.aux_operator_eigenvalues), 2)
        # expectation values
        self.assertAlmostEqual(result.aux_operator_eigenvalues[0][0],
                               2.0,
                               places=6)
        self.assertAlmostEqual(result.aux_operator_eigenvalues[1][0],
                               0.6698863565455391,
                               places=6)
        # standard deviations
        self.assertAlmostEqual(result.aux_operator_eigenvalues[0][1], 0.0)
        self.assertAlmostEqual(result.aux_operator_eigenvalues[1][1],
                               0.0,
                               places=6)

        # Go again with additional None and zero operators
        aux_ops = [*aux_ops, None, 0]
        result = vqe.compute_minimum_eigenvalue(self.h2_op,
                                                aux_operators=aux_ops)
        self.assertEqual(len(result.aux_operator_eigenvalues), 4)
        # expectation values
        self.assertAlmostEqual(result.aux_operator_eigenvalues[0][0],
                               2.0,
                               places=6)
        self.assertAlmostEqual(result.aux_operator_eigenvalues[1][0],
                               0.6036400943063891,
                               places=6)
        self.assertEqual(result.aux_operator_eigenvalues[2][0], 0.0)
        self.assertEqual(result.aux_operator_eigenvalues[3][0], 0.0)
        # standard deviations
        self.assertAlmostEqual(result.aux_operator_eigenvalues[0][1], 0.0)
        self.assertAlmostEqual(result.aux_operator_eigenvalues[1][1],
                               0.0,
                               places=6)
        self.assertAlmostEqual(result.aux_operator_eigenvalues[2][1], 0.0)
        self.assertAlmostEqual(result.aux_operator_eigenvalues[3][1], 0.0)

    def test_2step_transpile(self):
        """Test the two-step transpiler pass."""
        # count how often the pass for parameterized circuits is called
        pre_counter = LogPass("pre_passmanager")
        pre_pass = PassManager(pre_counter)
        config = PassManagerConfig(basis_gates=["u3", "cx"])
        pre_pass += level_1_pass_manager(config)

        # ... and the pass for bound circuits
        bound_counter = LogPass("bound_pass_manager")
        bound_pass = PassManager(bound_counter)

        quantum_instance = QuantumInstance(
            backend=BasicAer.get_backend("statevector_simulator"),
            basis_gates=["u3", "cx"],
            pass_manager=pre_pass,
            bound_pass_manager=bound_pass,
        )

        optimizer = SPSA(maxiter=5, learning_rate=0.01, perturbation=0.01)

        vqe = VQE(optimizer=optimizer, quantum_instance=quantum_instance)
        _ = vqe.compute_minimum_eigenvalue(Z)

        with self.assertLogs(logger, level="INFO") as cm:
            _ = vqe.compute_minimum_eigenvalue(Z)

        expected = [
            "pre_passmanager",
            "bound_pass_manager",
            "bound_pass_manager",
            "bound_pass_manager",
            "bound_pass_manager",
            "bound_pass_manager",
            "bound_pass_manager",
            "bound_pass_manager",
            "bound_pass_manager",
            "bound_pass_manager",
            "bound_pass_manager",
            "bound_pass_manager",
            "pre_passmanager",
            "bound_pass_manager",
        ]
        self.assertEqual([record.message for record in cm.records], expected)

    def test_construct_eigenstate_from_optpoint(self):
        """Test constructing the eigenstate from the optimal point, if the default ansatz is used."""

        # use Hamiltonian yielding more than 11 parameters in the default ansatz
        hamiltonian = Z ^ Z ^ Z
        optimizer = SPSA(maxiter=1, learning_rate=0.01, perturbation=0.01)
        quantum_instance = QuantumInstance(
            backend=BasicAer.get_backend("statevector_simulator"),
            basis_gates=["u3", "cx"])
        vqe = VQE(optimizer=optimizer, quantum_instance=quantum_instance)
        result = vqe.compute_minimum_eigenvalue(hamiltonian)

        optimal_circuit = vqe.ansatz.bind_parameters(result.optimal_point)
        self.assertTrue(Statevector(result.eigenstate).equiv(optimal_circuit))
示例#25
0
 def test_slsqp(self):
     """slsqp test"""
     optimizer = SLSQP(maxiter=1000, tol=1e-06)
     self.run_optimizer(optimizer, max_nfev=10000)
示例#26
0
class TestVQE(QiskitAlgorithmsTestCase):
    """Test VQE"""
    def setUp(self):
        super().setUp()
        self.seed = 50
        algorithm_globals.random_seed = self.seed
        self.h2_op = (-1.052373245772859 * (I ^ I) + 0.39793742484318045 *
                      (I ^ Z) - 0.39793742484318045 * (Z ^ I) -
                      0.01128010425623538 * (Z ^ Z) + 0.18093119978423156 *
                      (X ^ X))
        self.h2_energy = -1.85727503

        self.ryrz_wavefunction = TwoLocal(rotation_blocks=["ry", "rz"],
                                          entanglement_blocks="cz")
        self.ry_wavefunction = TwoLocal(rotation_blocks="ry",
                                        entanglement_blocks="cz")

        self.qasm_simulator = QuantumInstance(
            BasicAer.get_backend("qasm_simulator"),
            shots=1024,
            seed_simulator=self.seed,
            seed_transpiler=self.seed,
        )
        self.statevector_simulator = QuantumInstance(
            BasicAer.get_backend("statevector_simulator"),
            shots=1,
            seed_simulator=self.seed,
            seed_transpiler=self.seed,
        )

    def test_basic_aer_statevector(self):
        """Test the VQE on BasicAer's statevector simulator."""
        wavefunction = self.ryrz_wavefunction
        vqe = VQE(
            ansatz=wavefunction,
            optimizer=L_BFGS_B(),
            quantum_instance=QuantumInstance(
                BasicAer.get_backend("statevector_simulator"),
                basis_gates=["u1", "u2", "u3", "cx", "id"],
                coupling_map=[[0, 1]],
                seed_simulator=algorithm_globals.random_seed,
                seed_transpiler=algorithm_globals.random_seed,
            ),
        )

        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)

        with self.subTest(msg="test eigenvalue"):
            self.assertAlmostEqual(result.eigenvalue.real, self.h2_energy)

        with self.subTest(msg="test dimension of optimal point"):
            self.assertEqual(len(result.optimal_point), 16)

        with self.subTest(msg="assert cost_function_evals is set"):
            self.assertIsNotNone(result.cost_function_evals)

        with self.subTest(msg="assert optimizer_time is set"):
            self.assertIsNotNone(result.optimizer_time)

    def test_circuit_input(self):
        """Test running the VQE on a plain QuantumCircuit object."""
        wavefunction = QuantumCircuit(2).compose(EfficientSU2(2))
        optimizer = SLSQP(maxiter=50)
        vqe = VQE(ansatz=wavefunction,
                  optimizer=optimizer,
                  quantum_instance=self.statevector_simulator)
        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=5)

    @data(
        (MatrixExpectation(), 1),
        (AerPauliExpectation(), 1),
        (PauliExpectation(), 2),
    )
    @unpack
    def test_construct_circuit(self, expectation, num_circuits):
        """Test construct circuits returns QuantumCircuits and the right number of them."""
        try:
            wavefunction = EfficientSU2(2, reps=1)
            vqe = VQE(ansatz=wavefunction, expectation=expectation)
            params = [0] * wavefunction.num_parameters
            circuits = vqe.construct_circuit(parameter=params,
                                             operator=self.h2_op)

            self.assertEqual(len(circuits), num_circuits)
            for circuit in circuits:
                self.assertIsInstance(circuit, QuantumCircuit)
        except MissingOptionalLibraryError as ex:
            self.skipTest(str(ex))
            return

    def test_missing_varform_params(self):
        """Test specifying a variational form with no parameters raises an error."""
        circuit = QuantumCircuit(self.h2_op.num_qubits)
        vqe = VQE(
            ansatz=circuit,
            quantum_instance=BasicAer.get_backend("statevector_simulator"))
        with self.assertRaises(RuntimeError):
            vqe.compute_minimum_eigenvalue(operator=self.h2_op)

    @data(
        (SLSQP(maxiter=50), 5, 4),
        (SPSA(maxiter=150), 3, 2),  # max_evals_grouped=n or =2 if n>2
    )
    @unpack
    def test_max_evals_grouped(self, optimizer, places, max_evals_grouped):
        """VQE Optimizers test"""
        with self.assertWarns(DeprecationWarning):
            vqe = VQE(
                ansatz=self.ryrz_wavefunction,
                optimizer=optimizer,
                max_evals_grouped=max_evals_grouped,
                quantum_instance=self.statevector_simulator,
                sort_parameters_by_name=True,
            )
        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=places)

    def test_basic_aer_qasm(self):
        """Test the VQE on BasicAer's QASM simulator."""
        optimizer = SPSA(maxiter=300, last_avg=5)
        wavefunction = self.ry_wavefunction

        vqe = VQE(
            ansatz=wavefunction,
            optimizer=optimizer,
            max_evals_grouped=1,
            quantum_instance=self.qasm_simulator,
        )

        # TODO benchmark this later.
        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        self.assertAlmostEqual(result.eigenvalue.real, -1.86823, places=2)

    def test_qasm_aux_operators_normalized(self):
        """Test VQE with qasm_simulator returns normalized aux_operator eigenvalues."""
        wavefunction = self.ry_wavefunction
        vqe = VQE(ansatz=wavefunction, quantum_instance=self.qasm_simulator)
        _ = vqe.compute_minimum_eigenvalue(operator=self.h2_op)

        opt_params = [
            3.50437328,
            3.87415376,
            0.93684363,
            5.92219622,
            -1.53527887,
            1.87941418,
            -4.5708326,
            0.70187027,
        ]

        vqe._ret.optimal_point = opt_params
        vqe._ret.optimal_parameters = dict(
            zip(sorted(wavefunction.parameters, key=lambda p: p.name),
                opt_params))

        with self.assertWarns(DeprecationWarning):
            optimal_vector = vqe.get_optimal_vector()

        self.assertAlmostEqual(sum(v**2 for v in optimal_vector.values()),
                               1.0,
                               places=4)

    @unittest.skipUnless(has_aer(),
                         "qiskit-aer doesn't appear to be installed.")
    def test_with_aer_statevector(self):
        """Test VQE with Aer's statevector_simulator."""
        backend = Aer.get_backend("aer_simulator_statevector")
        wavefunction = self.ry_wavefunction
        optimizer = L_BFGS_B()

        quantum_instance = QuantumInstance(
            backend,
            seed_simulator=algorithm_globals.random_seed,
            seed_transpiler=algorithm_globals.random_seed,
        )
        vqe = VQE(
            ansatz=wavefunction,
            optimizer=optimizer,
            max_evals_grouped=1,
            quantum_instance=quantum_instance,
        )

        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=6)

    @unittest.skipUnless(has_aer(),
                         "qiskit-aer doesn't appear to be installed.")
    def test_with_aer_qasm(self):
        """Test VQE with Aer's qasm_simulator."""
        backend = Aer.get_backend("aer_simulator")
        optimizer = SPSA(maxiter=200, last_avg=5)
        wavefunction = self.ry_wavefunction

        quantum_instance = QuantumInstance(
            backend,
            seed_simulator=algorithm_globals.random_seed,
            seed_transpiler=algorithm_globals.random_seed,
        )

        vqe = VQE(
            ansatz=wavefunction,
            optimizer=optimizer,
            expectation=PauliExpectation(),
            quantum_instance=quantum_instance,
        )

        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)

        self.assertAlmostEqual(result.eigenvalue.real, -1.86305, places=2)

    @unittest.skipUnless(has_aer(),
                         "qiskit-aer doesn't appear to be installed.")
    def test_with_aer_qasm_snapshot_mode(self):
        """Test the VQE using Aer's qasm_simulator snapshot mode."""

        backend = Aer.get_backend("aer_simulator")
        optimizer = L_BFGS_B()
        wavefunction = self.ry_wavefunction

        quantum_instance = QuantumInstance(
            backend,
            shots=1,
            seed_simulator=algorithm_globals.random_seed,
            seed_transpiler=algorithm_globals.random_seed,
        )
        vqe = VQE(
            ansatz=wavefunction,
            optimizer=optimizer,
            expectation=AerPauliExpectation(),
            quantum_instance=quantum_instance,
        )

        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=6)

    @unittest.skipUnless(has_aer(),
                         "qiskit-aer doesn't appear to be installed.")
    @data(
        CG(maxiter=1),
        L_BFGS_B(maxfun=1),
        P_BFGS(maxfun=1, max_processes=0),
        SLSQP(maxiter=1),
        TNC(maxiter=1),
    )
    def test_with_gradient(self, optimizer):
        """Test VQE using Gradient()."""
        quantum_instance = QuantumInstance(
            backend=Aer.get_backend("qasm_simulator"),
            shots=1,
            seed_simulator=algorithm_globals.random_seed,
            seed_transpiler=algorithm_globals.random_seed,
        )
        vqe = VQE(
            ansatz=self.ry_wavefunction,
            optimizer=optimizer,
            gradient=Gradient(),
            expectation=AerPauliExpectation(),
            quantum_instance=quantum_instance,
            max_evals_grouped=1000,
        )
        vqe.compute_minimum_eigenvalue(operator=self.h2_op)

    def test_with_two_qubit_reduction(self):
        """Test the VQE using TwoQubitReduction."""
        qubit_op = PauliSumOp.from_list([
            ("IIII", -0.8105479805373266),
            ("IIIZ", 0.17218393261915552),
            ("IIZZ", -0.22575349222402472),
            ("IZZI", 0.1721839326191556),
            ("ZZII", -0.22575349222402466),
            ("IIZI", 0.1209126326177663),
            ("IZZZ", 0.16892753870087912),
            ("IXZX", -0.045232799946057854),
            ("ZXIX", 0.045232799946057854),
            ("IXIX", 0.045232799946057854),
            ("ZXZX", -0.045232799946057854),
            ("ZZIZ", 0.16614543256382414),
            ("IZIZ", 0.16614543256382414),
            ("ZZZZ", 0.17464343068300453),
            ("ZIZI", 0.1209126326177663),
        ])
        tapered_qubit_op = TwoQubitReduction(num_particles=2).convert(qubit_op)
        for simulator in [self.qasm_simulator, self.statevector_simulator]:
            with self.subTest(f"Test for {simulator}."):
                vqe = VQE(
                    self.ry_wavefunction,
                    SPSA(maxiter=300, last_avg=5),
                    quantum_instance=simulator,
                )
                result = vqe.compute_minimum_eigenvalue(tapered_qubit_op)
                energy = -1.868 if simulator == self.qasm_simulator else self.h2_energy
                self.assertAlmostEqual(result.eigenvalue.real,
                                       energy,
                                       places=2)

    def test_callback(self):
        """Test the callback on VQE."""
        history = {"eval_count": [], "parameters": [], "mean": [], "std": []}

        def store_intermediate_result(eval_count, parameters, mean, std):
            history["eval_count"].append(eval_count)
            history["parameters"].append(parameters)
            history["mean"].append(mean)
            history["std"].append(std)

        optimizer = COBYLA(maxiter=3)
        wavefunction = self.ry_wavefunction

        vqe = VQE(
            ansatz=wavefunction,
            optimizer=optimizer,
            callback=store_intermediate_result,
            quantum_instance=self.qasm_simulator,
        )
        vqe.compute_minimum_eigenvalue(operator=self.h2_op)

        self.assertTrue(
            all(isinstance(count, int) for count in history["eval_count"]))
        self.assertTrue(
            all(isinstance(mean, float) for mean in history["mean"]))
        self.assertTrue(all(isinstance(std, float) for std in history["std"]))
        for params in history["parameters"]:
            self.assertTrue(all(isinstance(param, float) for param in params))

    def test_reuse(self):
        """Test re-using a VQE algorithm instance."""
        vqe = VQE()
        with self.subTest(msg="assert running empty raises AlgorithmError"):
            with self.assertRaises(AlgorithmError):
                _ = vqe.compute_minimum_eigenvalue(operator=self.h2_op)

        ansatz = TwoLocal(rotation_blocks=["ry", "rz"],
                          entanglement_blocks="cz")
        vqe.ansatz = ansatz
        with self.subTest(msg="assert missing operator raises AlgorithmError"):
            with self.assertRaises(AlgorithmError):
                _ = vqe.compute_minimum_eigenvalue(operator=self.h2_op)

        vqe.expectation = MatrixExpectation()
        vqe.quantum_instance = self.statevector_simulator
        with self.subTest(msg="assert VQE works once all info is available"):
            result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
            self.assertAlmostEqual(result.eigenvalue.real,
                                   self.h2_energy,
                                   places=5)

        operator = PrimitiveOp(
            np.array([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 2, 0], [0, 0, 0,
                                                                  3]]))

        with self.subTest(msg="assert minimum eigensolver interface works"):
            result = vqe.compute_minimum_eigenvalue(operator=operator)
            self.assertAlmostEqual(result.eigenvalue.real, -1.0, places=5)

    def test_vqe_optimizer(self):
        """Test running same VQE twice to re-use optimizer, then switch optimizer"""
        vqe = VQE(
            optimizer=SLSQP(),
            quantum_instance=QuantumInstance(
                BasicAer.get_backend("statevector_simulator")),
        )

        def run_check():
            result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
            self.assertAlmostEqual(result.eigenvalue.real,
                                   -1.85727503,
                                   places=5)

        run_check()

        with self.subTest("Optimizer re-use"):
            run_check()

        with self.subTest("Optimizer replace"):
            vqe.optimizer = L_BFGS_B()
            run_check()

    @data(MatrixExpectation(), None)
    def test_backend_change(self, user_expectation):
        """Test that VQE works when backend changes."""
        vqe = VQE(
            ansatz=TwoLocal(rotation_blocks=["ry", "rz"],
                            entanglement_blocks="cz"),
            optimizer=SLSQP(maxiter=2),
            expectation=user_expectation,
            quantum_instance=BasicAer.get_backend("statevector_simulator"),
        )
        result0 = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        if user_expectation is not None:
            with self.subTest("User expectation kept."):
                self.assertEqual(vqe.expectation, user_expectation)

        vqe.quantum_instance = BasicAer.get_backend("qasm_simulator")

        # works also if no expectation is set, since it will be determined automatically
        result1 = vqe.compute_minimum_eigenvalue(operator=self.h2_op)

        if user_expectation is not None:
            with self.subTest(
                    "Change backend with user expectation, it is kept."):
                self.assertEqual(vqe.expectation, user_expectation)

        with self.subTest("Check results."):
            self.assertEqual(len(result0.optimal_point),
                             len(result1.optimal_point))

    def test_batch_evaluate_with_qnspsa(self):
        """Test batch evaluating with QNSPSA works."""
        ansatz = TwoLocal(2,
                          rotation_blocks=["ry", "rz"],
                          entanglement_blocks="cz")

        wrapped_backend = BasicAer.get_backend("qasm_simulator")
        inner_backend = BasicAer.get_backend("statevector_simulator")

        callcount = {"count": 0}

        def wrapped_run(circuits, **kwargs):
            kwargs["callcount"]["count"] += 1
            return inner_backend.run(circuits)

        wrapped_backend.run = partial(wrapped_run, callcount=callcount)

        fidelity = QNSPSA.get_fidelity(ansatz, backend=wrapped_backend)
        qnspsa = QNSPSA(fidelity, maxiter=5)

        vqe = VQE(
            ansatz=ansatz,
            optimizer=qnspsa,
            max_evals_grouped=100,
            quantum_instance=wrapped_backend,
        )
        _ = vqe.compute_minimum_eigenvalue(Z ^ Z)

        # 1 calibration + 1 stddev estimation + 1 initial blocking
        # + 5 (1 loss + 1 fidelity + 1 blocking) + 1 return loss + 1 VQE eval
        expected = 1 + 1 + 1 + 5 * 3 + 1 + 1

        self.assertEqual(callcount["count"], expected)
示例#27
0
class TestVQE(QiskitAlgorithmsTestCase):
    """ Test VQE """
    def setUp(self):
        super().setUp()
        self.seed = 50
        aqua_globals.random_seed = self.seed
        self.h2_op = -1.052373245772859 * (I ^ I) \
            + 0.39793742484318045 * (I ^ Z) \
            - 0.39793742484318045 * (Z ^ I) \
            - 0.01128010425623538 * (Z ^ Z) \
            + 0.18093119978423156 * (X ^ X)
        self.h2_energy = -1.85727503

        self.ryrz_wavefunction = TwoLocal(rotation_blocks=['ry', 'rz'],
                                          entanglement_blocks='cz')
        self.ry_wavefunction = TwoLocal(rotation_blocks='ry',
                                        entanglement_blocks='cz')

        self.qasm_simulator = QuantumInstance(
            BasicAer.get_backend('qasm_simulator'),
            shots=1024,
            seed_simulator=self.seed,
            seed_transpiler=self.seed)
        self.statevector_simulator = QuantumInstance(
            BasicAer.get_backend('statevector_simulator'),
            shots=1,
            seed_simulator=self.seed,
            seed_transpiler=self.seed)

    def test_basic_aer_statevector(self):
        """Test the VQE on BasicAer's statevector simulator."""
        wavefunction = self.ryrz_wavefunction
        vqe = VQE(self.h2_op, wavefunction, L_BFGS_B())

        result = vqe.run(
            QuantumInstance(BasicAer.get_backend('statevector_simulator'),
                            basis_gates=['u1', 'u2', 'u3', 'cx', 'id'],
                            coupling_map=[[0, 1]],
                            seed_simulator=aqua_globals.random_seed,
                            seed_transpiler=aqua_globals.random_seed))

        with self.subTest(msg='test eigenvalue'):
            self.assertAlmostEqual(result.eigenvalue.real, self.h2_energy)

        with self.subTest(msg='test dimension of optimal point'):
            self.assertEqual(len(result.optimal_point), 16)

        with self.subTest(msg='assert cost_function_evals is set'):
            self.assertIsNotNone(result.cost_function_evals)

        with self.subTest(msg='assert optimizer_time is set'):
            self.assertIsNotNone(result.optimizer_time)

    def test_circuit_input(self):
        """Test running the VQE on a plain QuantumCircuit object."""
        wavefunction = QuantumCircuit(2).compose(EfficientSU2(2))
        optimizer = SLSQP(maxiter=50)
        vqe = VQE(self.h2_op, wavefunction, optimizer=optimizer)
        result = vqe.run(self.statevector_simulator)
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=5)

    @data(
        (MatrixExpectation(), 1),
        (AerPauliExpectation(), 1),
        (PauliExpectation(), 2),
    )
    @unpack
    def test_construct_circuit(self, expectation, num_circuits):
        """Test construct circuits returns QuantumCircuits and the right number of them."""
        try:
            wavefunction = EfficientSU2(2, reps=1)
            vqe = VQE(self.h2_op, wavefunction, expectation=expectation)
            params = [0] * wavefunction.num_parameters
            circuits = vqe.construct_circuit(params)

            self.assertEqual(len(circuits), num_circuits)
            for circuit in circuits:
                self.assertIsInstance(circuit, QuantumCircuit)
        except MissingOptionalLibraryError as ex:
            self.skipTest(str(ex))
            return

    def test_legacy_operator(self):
        """Test the VQE accepts and converts the legacy WeightedPauliOperator."""
        pauli_dict = {
            'paulis': [{
                "coeff": {
                    "imag": 0.0,
                    "real": -1.052373245772859
                },
                "label": "II"
            }, {
                "coeff": {
                    "imag": 0.0,
                    "real": 0.39793742484318045
                },
                "label": "IZ"
            }, {
                "coeff": {
                    "imag": 0.0,
                    "real": -0.39793742484318045
                },
                "label": "ZI"
            }, {
                "coeff": {
                    "imag": 0.0,
                    "real": -0.01128010425623538
                },
                "label": "ZZ"
            }, {
                "coeff": {
                    "imag": 0.0,
                    "real": 0.18093119978423156
                },
                "label": "XX"
            }]
        }
        h2_op = WeightedPauliOperator.from_dict(pauli_dict)
        vqe = VQE(h2_op)
        self.assertEqual(vqe.operator, self.h2_op)

    def test_missing_varform_params(self):
        """Test specifying a variational form with no parameters raises an error."""
        circuit = QuantumCircuit(self.h2_op.num_qubits)
        vqe = VQE(self.h2_op, circuit)
        with self.assertRaises(RuntimeError):
            vqe.run(BasicAer.get_backend('statevector_simulator'))

    @data(
        (SLSQP(maxiter=50), 5, 4),
        (SPSA(maxiter=150), 3, 2),  # max_evals_grouped=n or =2 if n>2
    )
    @unpack
    def test_max_evals_grouped(self, optimizer, places, max_evals_grouped):
        """ VQE Optimizers test """
        vqe = VQE(self.h2_op,
                  self.ryrz_wavefunction,
                  optimizer,
                  max_evals_grouped=max_evals_grouped,
                  quantum_instance=self.statevector_simulator)
        result = vqe.run()
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=places)

    def test_basic_aer_qasm(self):
        """Test the VQE on BasicAer's QASM simulator."""
        optimizer = SPSA(maxiter=300, last_avg=5)
        wavefunction = self.ry_wavefunction

        vqe = VQE(self.h2_op, wavefunction, optimizer, max_evals_grouped=1)

        # TODO benchmark this later.
        result = vqe.run(self.qasm_simulator)
        self.assertAlmostEqual(result.eigenvalue.real, -1.86823, places=2)

    def test_qasm_aux_operators_normalized(self):
        """Test VQE with qasm_simulator returns normalized aux_operator eigenvalues."""
        wavefunction = self.ry_wavefunction
        vqe = VQE(self.h2_op,
                  wavefunction,
                  quantum_instance=self.qasm_simulator)

        opt_params = [
            3.50437328, 3.87415376, 0.93684363, 5.92219622, -1.53527887,
            1.87941418, -4.5708326, 0.70187027
        ]

        vqe._ret = {}
        vqe._ret['opt_params'] = opt_params
        vqe._ret['opt_params_dict'] = \
            dict(zip(sorted(wavefunction.parameters, key=lambda p: p.name), opt_params))

        optimal_vector = vqe.get_optimal_vector()
        self.assertAlmostEqual(sum([v**2 for v in optimal_vector.values()]),
                               1.0,
                               places=4)

    def test_with_aer_statevector(self):
        """Test VQE with Aer's statevector_simulator."""
        try:
            # pylint: disable=import-outside-toplevel
            from qiskit import Aer
        except Exception as ex:  # pylint: disable=broad-except
            self.skipTest(
                "Aer doesn't appear to be installed. Error: '{}'".format(
                    str(ex)))
            return
        backend = Aer.get_backend('statevector_simulator')
        wavefunction = self.ry_wavefunction
        optimizer = L_BFGS_B()

        vqe = VQE(self.h2_op, wavefunction, optimizer, max_evals_grouped=1)

        quantum_instance = QuantumInstance(
            backend,
            seed_simulator=aqua_globals.random_seed,
            seed_transpiler=aqua_globals.random_seed)
        result = vqe.run(quantum_instance)
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=6)

    def test_with_aer_qasm(self):
        """Test VQE with Aer's qasm_simulator."""
        try:
            # pylint: disable=import-outside-toplevel
            from qiskit import Aer
        except Exception as ex:  # pylint: disable=broad-except
            self.skipTest(
                "Aer doesn't appear to be installed. Error: '{}'".format(
                    str(ex)))
            return
        backend = Aer.get_backend('qasm_simulator')
        optimizer = SPSA(maxiter=200, last_avg=5)
        wavefunction = self.ry_wavefunction

        vqe = VQE(self.h2_op,
                  wavefunction,
                  optimizer,
                  expectation=PauliExpectation())

        quantum_instance = QuantumInstance(
            backend,
            seed_simulator=aqua_globals.random_seed,
            seed_transpiler=aqua_globals.random_seed)
        result = vqe.run(quantum_instance)
        self.assertAlmostEqual(result.eigenvalue.real, -1.86305, places=2)

    def test_with_aer_qasm_snapshot_mode(self):
        """Test the VQE using Aer's qasm_simulator snapshot mode."""
        try:
            # pylint: disable=import-outside-toplevel
            from qiskit import Aer
        except Exception as ex:  # pylint: disable=broad-except
            self.skipTest(
                "Aer doesn't appear to be installed. Error: '{}'".format(
                    str(ex)))
            return
        backend = Aer.get_backend('qasm_simulator')
        optimizer = L_BFGS_B()
        wavefunction = self.ry_wavefunction

        vqe = VQE(self.h2_op,
                  wavefunction,
                  optimizer,
                  expectation=AerPauliExpectation())

        quantum_instance = QuantumInstance(
            backend,
            shots=1,
            seed_simulator=aqua_globals.random_seed,
            seed_transpiler=aqua_globals.random_seed)
        result = vqe.run(quantum_instance)
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=6)

    def test_callback(self):
        """Test the callback on VQE."""
        history = {'eval_count': [], 'parameters': [], 'mean': [], 'std': []}

        def store_intermediate_result(eval_count, parameters, mean, std):
            history['eval_count'].append(eval_count)
            history['parameters'].append(parameters)
            history['mean'].append(mean)
            history['std'].append(std)

        optimizer = COBYLA(maxiter=3)
        wavefunction = self.ry_wavefunction

        vqe = VQE(self.h2_op,
                  wavefunction,
                  optimizer,
                  callback=store_intermediate_result)
        vqe.run(self.qasm_simulator)

        self.assertTrue(
            all(isinstance(count, int) for count in history['eval_count']))
        self.assertTrue(
            all(isinstance(mean, float) for mean in history['mean']))
        self.assertTrue(all(isinstance(std, float) for std in history['std']))
        for params in history['parameters']:
            self.assertTrue(all(isinstance(param, float) for param in params))

    def test_reuse(self):
        """Test re-using a VQE algorithm instance."""
        vqe = VQE()
        with self.subTest(msg='assert running empty raises AlgorithmError'):
            with self.assertRaises(AlgorithmError):
                _ = vqe.run()

        var_form = TwoLocal(rotation_blocks=['ry', 'rz'],
                            entanglement_blocks='cz')
        vqe.var_form = var_form
        with self.subTest(msg='assert missing operator raises AlgorithmError'):
            with self.assertRaises(AlgorithmError):
                _ = vqe.run()

        vqe.operator = self.h2_op
        with self.subTest(msg='assert missing backend raises AlgorithmError'):
            with self.assertRaises(AlgorithmError):
                _ = vqe.run()

        vqe.quantum_instance = self.statevector_simulator
        with self.subTest(msg='assert VQE works once all info is available'):
            result = vqe.run()
            self.assertAlmostEqual(result.eigenvalue.real,
                                   self.h2_energy,
                                   places=5)

        operator = PrimitiveOp(
            np.array([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 2, 0], [0, 0, 0,
                                                                  3]]))

        with self.subTest(msg='assert minimum eigensolver interface works'):
            result = vqe.compute_minimum_eigenvalue(operator)
            self.assertAlmostEqual(result.eigenvalue.real, -1.0, places=5)

    def test_vqe_optimizer(self):
        """ Test running same VQE twice to re-use optimizer, then switch optimizer """
        vqe = VQE(self.h2_op,
                  optimizer=SLSQP(),
                  quantum_instance=QuantumInstance(
                      BasicAer.get_backend('statevector_simulator')))

        def run_check():
            result = vqe.compute_minimum_eigenvalue()
            self.assertAlmostEqual(result.eigenvalue.real,
                                   -1.85727503,
                                   places=5)

        run_check()

        with self.subTest('Optimizer re-use'):
            run_check()

        with self.subTest('Optimizer replace'):
            vqe.optimizer = L_BFGS_B()
            run_check()

    def test_vqe_expectation_select(self):
        """Test expectation selection with Aer's qasm_simulator."""
        try:
            # pylint: disable=import-outside-toplevel
            from qiskit import Aer
        except Exception as ex:  # pylint: disable=broad-except
            self.skipTest(
                "Aer doesn't appear to be installed. Error: '{}'".format(
                    str(ex)))
            return
        backend = Aer.get_backend('qasm_simulator')

        with self.subTest('Defaults'):
            vqe = VQE(self.h2_op, quantum_instance=backend)
            self.assertIsInstance(vqe.expectation, PauliExpectation)

        with self.subTest('Include custom'):
            vqe = VQE(self.h2_op,
                      include_custom=True,
                      quantum_instance=backend)
            self.assertIsInstance(vqe.expectation, AerPauliExpectation)

        with self.subTest('Set explicitly'):
            vqe = VQE(self.h2_op,
                      expectation=AerPauliExpectation(),
                      quantum_instance=backend)
            self.assertIsInstance(vqe.expectation, AerPauliExpectation)

    @unittest.skip(reason="IBMQ testing not available in general.")
    def test_ibmq(self):
        """ IBMQ VQE Test """
        from qiskit import IBMQ
        provider = IBMQ.load_account()
        backend = provider.get_backend('ibmq_qasm_simulator')
        ansatz = TwoLocal(rotation_blocks=['ry', 'rz'],
                          entanglement_blocks='cz')

        opt = SLSQP(maxiter=1)
        opt.set_max_evals_grouped(100)
        vqe = VQE(self.h2_op, ansatz, SLSQP(maxiter=2))

        result = vqe.run(backend)
        print(result)
        self.assertAlmostEqual(result.eigenvalue.real, self.h2_energy)
        np.testing.assert_array_almost_equal(result.eigenvalue.real,
                                             self.h2_energy, 5)
        self.assertEqual(len(result.optimal_point), 16)
        self.assertIsNotNone(result.cost_function_evals)
        self.assertIsNotNone(result.optimizer_time)

    @data(MatrixExpectation(), None)
    def test_backend_change(self, user_expectation):
        """Test that VQE works when backend changes."""
        vqe = VQE(
            operator=self.h2_op,
            var_form=TwoLocal(rotation_blocks=['ry', 'rz'],
                              entanglement_blocks='cz'),
            optimizer=SLSQP(maxiter=2),
            expectation=user_expectation,
            quantum_instance=BasicAer.get_backend('statevector_simulator'))
        result0 = vqe.run()
        if user_expectation is not None:
            with self.subTest('User expectation kept.'):
                self.assertEqual(vqe.expectation, user_expectation)
        else:
            with self.subTest('Expectation created.'):
                self.assertIsInstance(vqe.expectation, ExpectationBase)
        try:
            vqe.set_backend(BasicAer.get_backend('qasm_simulator'))
        except Exception as ex:  # pylint: disable=broad-except
            self.fail("Failed to change backend. Error: '{}'".format(str(ex)))
            return

        result1 = vqe.run()
        if user_expectation is not None:
            with self.subTest(
                    'Change backend with user expectation, it is kept.'):
                self.assertEqual(vqe.expectation, user_expectation)
        else:
            with self.subTest(
                    'Change backend without user expectation, one created.'):
                self.assertIsInstance(vqe.expectation, ExpectationBase)

        with self.subTest('Check results.'):
            self.assertEqual(len(result0.optimal_point),
                             len(result1.optimal_point))
 def test_slsqp(self):
     """ slsqp test """
     optimizer = SLSQP(maxiter=1000, tol=1e-06)
     res = self._optimize(optimizer)
     self.assertLessEqual(res[2], 10000)
 def optimizer(self, optimizer: Optional[Optimizer] = None):
     """Sets the optimizer to use in training process."""
     if optimizer is None:
         optimizer = SLSQP()
     self._optimizer = optimizer
示例#30
0
class TestVQE(QiskitAlgorithmsTestCase):
    """ Test VQE """
    def setUp(self):
        super().setUp()
        self.seed = 50
        algorithm_globals.random_seed = self.seed
        self.h2_op = -1.052373245772859 * (I ^ I) \
            + 0.39793742484318045 * (I ^ Z) \
            - 0.39793742484318045 * (Z ^ I) \
            - 0.01128010425623538 * (Z ^ Z) \
            + 0.18093119978423156 * (X ^ X)
        self.h2_energy = -1.85727503

        self.ryrz_wavefunction = TwoLocal(rotation_blocks=['ry', 'rz'],
                                          entanglement_blocks='cz')
        self.ry_wavefunction = TwoLocal(rotation_blocks='ry',
                                        entanglement_blocks='cz')

        self.qasm_simulator = QuantumInstance(
            BasicAer.get_backend('qasm_simulator'),
            shots=1024,
            seed_simulator=self.seed,
            seed_transpiler=self.seed)
        self.statevector_simulator = QuantumInstance(
            BasicAer.get_backend('statevector_simulator'),
            shots=1,
            seed_simulator=self.seed,
            seed_transpiler=self.seed)

    def test_basic_aer_statevector(self):
        """Test the VQE on BasicAer's statevector simulator."""
        wavefunction = self.ryrz_wavefunction
        vqe = VQE(ansatz=wavefunction,
                  optimizer=L_BFGS_B(),
                  quantum_instance=QuantumInstance(
                      BasicAer.get_backend('statevector_simulator'),
                      basis_gates=['u1', 'u2', 'u3', 'cx', 'id'],
                      coupling_map=[[0, 1]],
                      seed_simulator=algorithm_globals.random_seed,
                      seed_transpiler=algorithm_globals.random_seed))

        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)

        with self.subTest(msg='test eigenvalue'):
            self.assertAlmostEqual(result.eigenvalue.real, self.h2_energy)

        with self.subTest(msg='test dimension of optimal point'):
            self.assertEqual(len(result.optimal_point), 16)

        with self.subTest(msg='assert cost_function_evals is set'):
            self.assertIsNotNone(result.cost_function_evals)

        with self.subTest(msg='assert optimizer_time is set'):
            self.assertIsNotNone(result.optimizer_time)

    def test_circuit_input(self):
        """Test running the VQE on a plain QuantumCircuit object."""
        wavefunction = QuantumCircuit(2).compose(EfficientSU2(2))
        optimizer = SLSQP(maxiter=50)
        vqe = VQE(ansatz=wavefunction,
                  optimizer=optimizer,
                  quantum_instance=self.statevector_simulator)
        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=5)

    @data(
        (MatrixExpectation(), 1),
        (AerPauliExpectation(), 1),
        (PauliExpectation(), 2),
    )
    @unpack
    def test_construct_circuit(self, expectation, num_circuits):
        """Test construct circuits returns QuantumCircuits and the right number of them."""
        try:
            wavefunction = EfficientSU2(2, reps=1)
            vqe = VQE(ansatz=wavefunction, expectation=expectation)
            params = [0] * wavefunction.num_parameters
            circuits = vqe.construct_circuit(parameter=params,
                                             operator=self.h2_op)

            self.assertEqual(len(circuits), num_circuits)
            for circuit in circuits:
                self.assertIsInstance(circuit, QuantumCircuit)
        except MissingOptionalLibraryError as ex:
            self.skipTest(str(ex))
            return

    def test_missing_varform_params(self):
        """Test specifying a variational form with no parameters raises an error."""
        circuit = QuantumCircuit(self.h2_op.num_qubits)
        vqe = VQE(
            ansatz=circuit,
            quantum_instance=BasicAer.get_backend('statevector_simulator'))
        with self.assertRaises(RuntimeError):
            vqe.compute_minimum_eigenvalue(operator=self.h2_op)

    @data(
        (SLSQP(maxiter=50), 5, 4),
        (SPSA(maxiter=150), 3, 2),  # max_evals_grouped=n or =2 if n>2
    )
    @unpack
    def test_max_evals_grouped(self, optimizer, places, max_evals_grouped):
        """ VQE Optimizers test """
        vqe = VQE(ansatz=self.ryrz_wavefunction,
                  optimizer=optimizer,
                  max_evals_grouped=max_evals_grouped,
                  quantum_instance=self.statevector_simulator)
        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=places)

    def test_basic_aer_qasm(self):
        """Test the VQE on BasicAer's QASM simulator."""
        optimizer = SPSA(maxiter=300, last_avg=5)
        wavefunction = self.ry_wavefunction

        vqe = VQE(ansatz=wavefunction,
                  optimizer=optimizer,
                  max_evals_grouped=1,
                  quantum_instance=self.qasm_simulator)

        # TODO benchmark this later.
        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        self.assertAlmostEqual(result.eigenvalue.real, -1.86823, places=2)

    def test_qasm_aux_operators_normalized(self):
        """Test VQE with qasm_simulator returns normalized aux_operator eigenvalues."""
        wavefunction = self.ry_wavefunction
        vqe = VQE(ansatz=wavefunction, quantum_instance=self.qasm_simulator)
        _ = vqe.compute_minimum_eigenvalue(operator=self.h2_op)

        opt_params = [
            3.50437328, 3.87415376, 0.93684363, 5.92219622, -1.53527887,
            1.87941418, -4.5708326, 0.70187027
        ]

        vqe._ret.optimal_point = opt_params
        vqe._ret.optimal_parameters = \
            dict(zip(sorted(wavefunction.parameters, key=lambda p: p.name), opt_params))

        optimal_vector = vqe.get_optimal_vector()
        self.assertAlmostEqual(sum([v**2 for v in optimal_vector.values()]),
                               1.0,
                               places=4)

    def test_with_aer_statevector(self):
        """Test VQE with Aer's statevector_simulator."""
        try:
            from qiskit.providers.aer import Aer
        except Exception as ex:  # pylint: disable=broad-except
            self.skipTest(
                "Aer doesn't appear to be installed. Error: '{}'".format(
                    str(ex)))
            return
        backend = Aer.get_backend('statevector_simulator')
        wavefunction = self.ry_wavefunction
        optimizer = L_BFGS_B()

        quantum_instance = QuantumInstance(
            backend,
            seed_simulator=algorithm_globals.random_seed,
            seed_transpiler=algorithm_globals.random_seed)
        vqe = VQE(ansatz=wavefunction,
                  optimizer=optimizer,
                  max_evals_grouped=1,
                  quantum_instance=quantum_instance)

        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=6)

    def test_with_aer_qasm(self):
        """Test VQE with Aer's qasm_simulator."""
        try:
            from qiskit.providers.aer import Aer
        except Exception as ex:  # pylint: disable=broad-except
            self.skipTest(
                "Aer doesn't appear to be installed. Error: '{}'".format(
                    str(ex)))
            return
        backend = Aer.get_backend('qasm_simulator')
        optimizer = SPSA(maxiter=200, last_avg=5)
        wavefunction = self.ry_wavefunction

        quantum_instance = QuantumInstance(
            backend,
            seed_simulator=algorithm_globals.random_seed,
            seed_transpiler=algorithm_globals.random_seed)

        vqe = VQE(ansatz=wavefunction,
                  optimizer=optimizer,
                  expectation=PauliExpectation(),
                  quantum_instance=quantum_instance)

        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)

        self.assertAlmostEqual(result.eigenvalue.real, -1.86305, places=2)

    def test_with_aer_qasm_snapshot_mode(self):
        """Test the VQE using Aer's qasm_simulator snapshot mode."""
        try:
            from qiskit.providers.aer import Aer
        except Exception as ex:  # pylint: disable=broad-except
            self.skipTest(
                "Aer doesn't appear to be installed. Error: '{}'".format(
                    str(ex)))
            return
        backend = Aer.get_backend('qasm_simulator')
        optimizer = L_BFGS_B()
        wavefunction = self.ry_wavefunction

        quantum_instance = QuantumInstance(
            backend,
            shots=1,
            seed_simulator=algorithm_globals.random_seed,
            seed_transpiler=algorithm_globals.random_seed)
        vqe = VQE(ansatz=wavefunction,
                  optimizer=optimizer,
                  expectation=AerPauliExpectation(),
                  quantum_instance=quantum_instance)

        result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        self.assertAlmostEqual(result.eigenvalue.real,
                               self.h2_energy,
                               places=6)

    def test_with_two_qubit_reduction(self):
        """Test the VQE using TwoQubitReduction."""
        qubit_op = PauliSumOp.from_list([
            ("IIII", -0.8105479805373266),
            ("IIIZ", 0.17218393261915552),
            ("IIZZ", -0.22575349222402472),
            ("IZZI", 0.1721839326191556),
            ("ZZII", -0.22575349222402466),
            ("IIZI", 0.1209126326177663),
            ("IZZZ", 0.16892753870087912),
            ("IXZX", -0.045232799946057854),
            ("ZXIX", 0.045232799946057854),
            ("IXIX", 0.045232799946057854),
            ("ZXZX", -0.045232799946057854),
            ("ZZIZ", 0.16614543256382414),
            ("IZIZ", 0.16614543256382414),
            ("ZZZZ", 0.17464343068300453),
            ("ZIZI", 0.1209126326177663),
        ])
        tapered_qubit_op = TwoQubitReduction(num_particles=2).convert(qubit_op)
        for simulator in [self.qasm_simulator, self.statevector_simulator]:
            with self.subTest(f"Test for {simulator}."):
                vqe = VQE(
                    self.ry_wavefunction,
                    SPSA(maxiter=300, last_avg=5),
                    quantum_instance=simulator,
                )
                result = vqe.compute_minimum_eigenvalue(tapered_qubit_op)
                energy = -1.868 if simulator == self.qasm_simulator else self.h2_energy
                self.assertAlmostEqual(result.eigenvalue.real,
                                       energy,
                                       places=2)

    def test_callback(self):
        """Test the callback on VQE."""
        history = {'eval_count': [], 'parameters': [], 'mean': [], 'std': []}

        def store_intermediate_result(eval_count, parameters, mean, std):
            history['eval_count'].append(eval_count)
            history['parameters'].append(parameters)
            history['mean'].append(mean)
            history['std'].append(std)

        optimizer = COBYLA(maxiter=3)
        wavefunction = self.ry_wavefunction

        vqe = VQE(ansatz=wavefunction,
                  optimizer=optimizer,
                  callback=store_intermediate_result,
                  quantum_instance=self.qasm_simulator)
        vqe.compute_minimum_eigenvalue(operator=self.h2_op)

        self.assertTrue(
            all(isinstance(count, int) for count in history['eval_count']))
        self.assertTrue(
            all(isinstance(mean, float) for mean in history['mean']))
        self.assertTrue(all(isinstance(std, float) for std in history['std']))
        for params in history['parameters']:
            self.assertTrue(all(isinstance(param, float) for param in params))

    def test_reuse(self):
        """Test re-using a VQE algorithm instance."""
        vqe = VQE()
        with self.subTest(msg='assert running empty raises AlgorithmError'):
            with self.assertRaises(AlgorithmError):
                _ = vqe.compute_minimum_eigenvalue(operator=self.h2_op)

        ansatz = TwoLocal(rotation_blocks=['ry', 'rz'],
                          entanglement_blocks='cz')
        vqe.ansatz = ansatz
        with self.subTest(msg='assert missing operator raises AlgorithmError'):
            with self.assertRaises(AlgorithmError):
                _ = vqe.compute_minimum_eigenvalue(operator=self.h2_op)

        vqe.quantum_instance = self.statevector_simulator
        with self.subTest(msg='assert VQE works once all info is available'):
            result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
            self.assertAlmostEqual(result.eigenvalue.real,
                                   self.h2_energy,
                                   places=5)

        operator = PrimitiveOp(
            np.array([[1, 0, 0, 0], [0, -1, 0, 0], [0, 0, 2, 0], [0, 0, 0,
                                                                  3]]))

        with self.subTest(msg='assert minimum eigensolver interface works'):
            result = vqe.compute_minimum_eigenvalue(operator=operator)
            self.assertAlmostEqual(result.eigenvalue.real, -1.0, places=5)

    def test_vqe_optimizer(self):
        """ Test running same VQE twice to re-use optimizer, then switch optimizer """
        vqe = VQE(optimizer=SLSQP(),
                  quantum_instance=QuantumInstance(
                      BasicAer.get_backend('statevector_simulator')))

        def run_check():
            result = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
            self.assertAlmostEqual(result.eigenvalue.real,
                                   -1.85727503,
                                   places=5)

        run_check()

        with self.subTest('Optimizer re-use'):
            run_check()

        with self.subTest('Optimizer replace'):
            vqe.optimizer = L_BFGS_B()
            run_check()

    def test_vqe_expectation_select(self):
        """Test expectation selection with Aer's qasm_simulator."""
        try:
            from qiskit.providers.aer import Aer
        except Exception as ex:  # pylint: disable=broad-except
            self.skipTest(
                "Aer doesn't appear to be installed. Error: '{}'".format(
                    str(ex)))
            return
        backend = Aer.get_backend('qasm_simulator')

        with self.subTest('Defaults'):
            vqe = VQE(quantum_instance=backend)
            vqe.compute_minimum_eigenvalue(operator=self.h2_op)
            self.assertIsInstance(vqe.expectation, PauliExpectation)

        with self.subTest('Include custom'):
            vqe = VQE(include_custom=True, quantum_instance=backend)
            vqe.compute_minimum_eigenvalue(operator=self.h2_op)
            self.assertIsInstance(vqe.expectation, AerPauliExpectation)

        with self.subTest('Set explicitly'):
            vqe = VQE(expectation=AerPauliExpectation(),
                      quantum_instance=backend)
            vqe.compute_minimum_eigenvalue(operator=self.h2_op)
            self.assertIsInstance(vqe.expectation, AerPauliExpectation)

    @data(MatrixExpectation(), None)
    def test_backend_change(self, user_expectation):
        """Test that VQE works when backend changes."""
        vqe = VQE(
            ansatz=TwoLocal(rotation_blocks=['ry', 'rz'],
                            entanglement_blocks='cz'),
            optimizer=SLSQP(maxiter=2),
            expectation=user_expectation,
            quantum_instance=BasicAer.get_backend('statevector_simulator'))
        result0 = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        if user_expectation is not None:
            with self.subTest('User expectation kept.'):
                self.assertEqual(vqe.expectation, user_expectation)
        else:
            with self.subTest('Expectation created.'):
                self.assertIsInstance(vqe.expectation, ExpectationBase)
        try:
            vqe.quantum_instance = BasicAer.get_backend('qasm_simulator')
        except Exception as ex:  # pylint: disable=broad-except
            self.fail("Failed to change backend. Error: '{}'".format(str(ex)))
            return

        result1 = vqe.compute_minimum_eigenvalue(operator=self.h2_op)
        if user_expectation is not None:
            with self.subTest(
                    'Change backend with user expectation, it is kept.'):
                self.assertEqual(vqe.expectation, user_expectation)
        else:
            with self.subTest(
                    'Change backend without user expectation, one created.'):
                self.assertIsInstance(vqe.expectation, ExpectationBase)

        with self.subTest('Check results.'):
            self.assertEqual(len(result0.optimal_point),
                             len(result1.optimal_point))