예제 #1
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    def test_sparse_uccsd_generator_numpy_inputs(self):
        """Test numpy ndarray inputs to uccsd_generator that are sparse"""
        test_orbitals = 30
        sparse_single_amplitudes = numpy.zeros((test_orbitals, test_orbitals))
        sparse_double_amplitudes = numpy.zeros(
            (test_orbitals, test_orbitals, test_orbitals, test_orbitals))

        sparse_single_amplitudes[3, 5] = 0.12345
        sparse_single_amplitudes[12, 4] = 0.44313

        sparse_double_amplitudes[0, 12, 6, 2] = 0.3434
        sparse_double_amplitudes[1, 4, 6, 13] = -0.23423

        generator = uccsd_generator(sparse_single_amplitudes,
                                    sparse_double_amplitudes)

        test_generator = (0.12345 * FermionOperator("3^ 5") +
                          (-0.12345) * FermionOperator("5^ 3") +
                          0.44313 * FermionOperator("12^ 4") +
                          (-0.44313) * FermionOperator("4^ 12") +
                          0.3434 * FermionOperator("0^ 12 6^ 2") +
                          (-0.3434) * FermionOperator("2^ 6 12^ 0") +
                          (-0.23423) * FermionOperator("1^ 4 6^ 13") +
                          0.23423 * FermionOperator("13^ 6 4^ 1"))
        self.assertEqual(test_generator, generator)
예제 #2
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    def test_uccsd_anti_hermitian(self):
        """Test operators are anti-Hermitian independent of inputs"""
        test_orbitals = 4

        single_amplitudes = randn(*(test_orbitals, ) * 2)
        double_amplitudes = randn(*(test_orbitals, ) * 4)

        generator = uccsd_generator(single_amplitudes, double_amplitudes)
        conj_generator = hermitian_conjugated(generator)

        self.assertEqual(generator, -1. * conj_generator)
예제 #3
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    def test_sparse_uccsd_generator_list_inputs(self):
        """Test list inputs to uccsd_generator that are sparse"""
        sparse_single_amplitudes = [[[3, 5], 0.12345], [[12, 4], 0.44313]]
        sparse_double_amplitudes = [[[0, 12, 6, 2], 0.3434],
                                    [[1, 4, 6, 13], -0.23423]]

        generator = uccsd_generator(sparse_single_amplitudes,
                                    sparse_double_amplitudes)

        test_generator = (0.12345 * FermionOperator("3^ 5") +
                          (-0.12345) * FermionOperator("5^ 3") +
                          0.44313 * FermionOperator("12^ 4") +
                          (-0.44313) * FermionOperator("4^ 12") +
                          0.3434 * FermionOperator("0^ 12 6^ 2") +
                          (-0.3434) * FermionOperator("2^ 6 12^ 0") +
                          (-0.23423) * FermionOperator("1^ 4 6^ 13") +
                          0.23423 * FermionOperator("13^ 6 4^ 1"))
        self.assertEqual(test_generator, generator)
예제 #4
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    def test_ucc_h2_singlet(self):
        geometry = [('H', (0., 0., 0.)), ('H', (0., 0., 0.7414))]
        basis = 'sto-3g'
        multiplicity = 1
        filename = os.path.join(THIS_DIRECTORY, 'data',
                                'H2_sto-3g_singlet_0.7414')
        self.molecule = MolecularData(geometry,
                                      basis,
                                      multiplicity,
                                      filename=filename)
        self.molecule.load()

        # Get molecular Hamiltonian.
        self.molecular_hamiltonian = self.molecule.get_molecular_hamiltonian()

        # Get FCI RDM.
        self.fci_rdm = self.molecule.get_molecular_rdm(use_fci=1)

        # Get explicit coefficients.
        self.nuclear_repulsion = self.molecular_hamiltonian.constant
        self.one_body = self.molecular_hamiltonian.one_body_tensor
        self.two_body = self.molecular_hamiltonian.two_body_tensor

        # Get fermion Hamiltonian.
        self.fermion_hamiltonian = normal_ordered(
            get_fermion_operator(self.molecular_hamiltonian))

        # Get qubit Hamiltonian.
        self.qubit_hamiltonian = jordan_wigner(self.fermion_hamiltonian)

        # Get the sparse matrix.
        self.hamiltonian_matrix = get_sparse_operator(
            self.molecular_hamiltonian)
        # Test UCCSD for accuracy against FCI using loaded t amplitudes.
        ucc_operator = uccsd_generator(self.molecule.ccsd_single_amps,
                                       self.molecule.ccsd_double_amps)

        hf_state = jw_hartree_fock_state(self.molecule.n_electrons,
                                         count_qubits(self.qubit_hamiltonian))
        uccsd_sparse = jordan_wigner_sparse(ucc_operator)
        uccsd_state = scipy.sparse.linalg.expm_multiply(uccsd_sparse, hf_state)
        expected_uccsd_energy = expectation(self.hamiltonian_matrix,
                                            uccsd_state)
        self.assertAlmostEqual(expected_uccsd_energy,
                               self.molecule.fci_energy,
                               places=4)
        print("UCCSD ENERGY: {}".format(expected_uccsd_energy))

        # Test CCSD singlet for precise match against FCI using loaded t
        # amplitudes
        packed_amplitudes = uccsd_singlet_get_packed_amplitudes(
            self.molecule.ccsd_single_amps, self.molecule.ccsd_double_amps,
            self.molecule.n_qubits, self.molecule.n_electrons)
        ccsd_operator = uccsd_singlet_generator(packed_amplitudes,
                                                self.molecule.n_qubits,
                                                self.molecule.n_electrons,
                                                anti_hermitian=False)

        ccsd_sparse_r = jordan_wigner_sparse(ccsd_operator)
        ccsd_sparse_l = jordan_wigner_sparse(
            -hermitian_conjugated(ccsd_operator))

        ccsd_state_r = scipy.sparse.linalg.expm_multiply(
            ccsd_sparse_r, hf_state)
        ccsd_state_l = scipy.sparse.linalg.expm_multiply(
            ccsd_sparse_l, hf_state)
        expected_ccsd_energy = ccsd_state_l.conjugate().dot(
            self.hamiltonian_matrix.dot(ccsd_state_r))
        self.assertAlmostEqual(expected_ccsd_energy, self.molecule.fci_energy)