Index

A

add_values() (in module ofex.utils.dict_utils)

apply_operator() (in module ofex.linalg.sparse_tools) apply_pauli() (ofex.state.BinaryFockVector method)

B

batched_empirical_average() (ofex.sampling_simulation.sampling_base.ProbDist method) bent_geometry() (in module ofex.utils.chem)

binary_to_int() (in module ofex.utils.binary) BinaryFockVector (class in ofex.state) bond_length (ofex.hamiltonian.PolyacenePPP attribute)

C

calculate_reflect_norm() (in module ofex.transforms.fermion_factorization) chebyshev_filter_fourier() (in module ofex.classical_algorithms.funcapprox) cisd_ground() (in module ofex.state.chem_ref_state) clean_imaginary() (in module ofex.operators.symbolic_operator_tools) clifford_apply() (in module ofex.clifford) clifford_apply_pauli() (in module ofex.clifford) clifford_qiskit() (in module ofex.clifford) clifford_simulation() (in module ofex.clifford)

clifford_unitary_mat() (in module ofex.clifford) coeff() (in module ofex.operators.symbolic_operator_tools) collect_degen_eigspace_hierarchy() (in module ofex.linalg.sparse_tools) compare_dict() (in module ofex.utils.dict_utils) compare_operators() (in module ofex.operators.symbolic_operator_tools) compare_states() (in module ofex.state.state_tools) compress_sparse() (in module ofex.state.state_tools) cre_ann() (in module ofex.operators.fermion_operator_tools) csf_states() (in module ofex.state.chem_ref_state)

D

DenseState (in module ofex.state.types) diagonalization() (in module ofex.linalg.sparse_tools) diagonalizing_clifford() (in module ofex.clifford) diagonalizing_clifford_tableau() (in module ofex.clifford)

dict_allclose() (in module ofex.utils.dict_utils) dict_to_operator() (in module ofex.operators.symbolic_operator_tools) dot_tableau() (in module ofex.clifford) double_factorization() (in module ofex.transforms.fermion_factorization) double_factorization_to_hamiltonian() (in module ofex.transforms.fermion_factorization)

E

ei_to_ham_spatial() (in module ofex.transforms.fermion_factorization) ei_to_ham_spin() (in module ofex.transforms.fermion_factorization) empirical_average() (ofex.sampling_simulation.sampling_base.JointProbDist method) (ofex.sampling_simulation.sampling_base.ProbDist method) empirical_covariance() (ofex.sampling_simulation.sampling_base.JointProbDist method) empirical_pauli_covariance() (in module ofex.measurement)

empirical_std() (ofex.sampling_simulation.sampling_base.JointProbDist method) (ofex.sampling_simulation.sampling_base.ProbDist method) empirical_variance() (ofex.sampling_simulation.sampling_base.JointProbDist method) (ofex.sampling_simulation.sampling_base.ProbDist method) exact_ite() (in module ofex.propagator) exact_rte() (in module ofex.propagator) expectation() (in module ofex.linalg.sparse_tools)

F

fermion_rotation_operator() (in module ofex.transforms) fermion_rotation_state() (in module ofex.transforms) fermion_to_qubit_operator() (in module ofex.transforms) fermion_to_qubit_state() (in module ofex.transforms) fermion_to_qubit_state_general() (in module ofex.transforms) find_pauli_symmetry() (in module ofex.transforms) first_chebyshev_inner_product() (in module ofex.classical_algorithms.funcapprox)

first_chebyshev_integral() (in module ofex.classical_algorithms.funcapprox) FirstChebyshevBasis (class in ofex.classical_algorithms.funcapprox) fock_to_int() (in module ofex.state) fock_vector_to_dense_state() (in module ofex.state.state_tools) fock_vector_to_scipy_state() (in module ofex.state.state_tools) FourierBasis (class in ofex.classical_algorithms.funcapprox) fragment_variance() (in module ofex.measurement) FunctionBasis (class in ofex.classical_algorithms.funcapprox)

G

gaussian_function_fourier() (in module ofex.classical_algorithms.funcapprox) get_num_qubits() (in module ofex.state.state_tools)

get_sparsity() (in module ofex.state.state_tools) get_state_dim() (in module ofex.state.state_tools) gradual_l2_minimization() (ofex.classical_algorithms.funcapprox.FunctionBasis method)

H

hadamard_test_general() (in module ofex.sampling_simulation) hadamard_test_qubit_operator() (in module ofex.sampling_simulation) ham_to_ei_spatial() (in module ofex.transforms.fermion_factorization) ham_to_ei_spin() (in module ofex.transforms.fermion_factorization)

hamiltonian_fourier_series() (in module ofex.hamiltonian_functions) hamming_weight() (in module ofex.utils.binary) heisenberg_1d() (in module ofex.hamiltonian) heisenberg_1d_ring() (in module ofex.hamiltonian) hf_ground() (in module ofex.state.chem_ref_state)

I

init_efficient_ics() (in module ofex.measurement.iterative_coefficient_splitting) init_ics() (in module ofex.measurement.iterative_coefficient_splitting) int_to_binary() (in module ofex.utils.binary) int_to_fock() (in module ofex.state) is_constant() (in module ofex.operators.symbolic_operator_tools) is_dense_state() (in module ofex.state.types) is_number_only() (in module ofex.operators.fermion_operator_tools)

is_scipy_sparse_state() (in module ofex.state.types) is_sparse_state() (in module ofex.state.types) is_z_only() (in module ofex.operators.qubit_operator_tools) is_zero() (in module ofex.state.state_tools) iterate_basis_with_index() (ofex.classical_algorithms.funcapprox.FourierBasis method) (ofex.classical_algorithms.funcapprox.FunctionBasis method) iterative_sorted_insertion() (in module ofex.measurement)

J

JointProbDist (class in ofex.sampling_simulation.sampling_base)

K

killer_shift_opt_fermion_hf() (in module ofex.measurement)

L

l2_minimization() (ofex.classical_algorithms.funcapprox.FunctionBasis method)

l2_minimization_regularized() (ofex.classical_algorithms.funcapprox.FunctionBasis method) linear_geometry() (in module ofex.utils.chem)

M

marginal_check() (ofex.state.BinaryFockVector method) module ofex ofex.classical_algorithms ofex.classical_algorithms.clique ofex.classical_algorithms.funcapprox ofex.clifford ofex.constant ofex.exceptions ofex.hamiltonian ofex.hamiltonian_functions ofex.linalg ofex.linalg.pauli_expm ofex.linalg.sparse_tools ofex.measurement ofex.measurement.iterative_coefficient_splitting ofex.measurement.types ofex.operators ofex.operators.fermion_operator_tools ofex.operators.ordering ofex.operators.qubit_operator_tools ofex.operators.symbolic_operator_tools ofex.operators.types ofex.propagator ofex.sampling_simulation ofex.sampling_simulation.sampling_base ofex.state ofex.state.chem_ref_state ofex.state.state_tools ofex.state.types ofex.transforms ofex.transforms.fermion_factorization ofex.utils ofex.utils.binary ofex.utils.chem ofex.utils.dict_utils

molecule_example() (in module ofex.utils.chem) monomial_fourier_integral() (in module ofex.classical_algorithms.funcapprox)

N

n_basis (ofex.classical_algorithms.funcapprox.FunctionBasis property) n_ring (ofex.hamiltonian.PolyacenePPP attribute) nested_dict_assign() (in module ofex.utils.dict_utils) norm() (in module ofex.state.state_tools) normal_ordered_single() (in module ofex.operators.fermion_operator_tools)

normalize() (in module ofex.state.state_tools) normalize_by_lcu_norm() (in module ofex.operators) num_qubits (ofex.state.BinaryFockVector property) num_spatial_orbitals (ofex.state.BinaryFockVector property) num_spin_orbitals (ofex.state.BinaryFockVector property) number_factorization_to_reflection() (in module ofex.transforms.fermion_factorization)

O

ofex module ofex.classical_algorithms module ofex.classical_algorithms.clique module ofex.classical_algorithms.funcapprox module ofex.clifford module ofex.constant module ofex.exceptions module ofex.hamiltonian module ofex.hamiltonian_functions module ofex.linalg module ofex.linalg.pauli_expm module ofex.linalg.sparse_tools module ofex.measurement module ofex.measurement.iterative_coefficient_splitting module ofex.measurement.types module ofex.operators module ofex.operators.fermion_operator_tools module ofex.operators.ordering module ofex.operators.qubit_operator_tools module

ofex.operators.symbolic_operator_tools module ofex.operators.types module ofex.propagator module ofex.sampling_simulation module ofex.sampling_simulation.sampling_base module ofex.state module ofex.state.chem_ref_state module ofex.state.state_tools module ofex.state.types module ofex.transforms module ofex.transforms.fermion_factorization module ofex.utils module ofex.utils.binary module ofex.utils.chem module ofex.utils.dict_utils module OfexTypeError one_body_excitation() (in module ofex.operators.fermion_operator_tools) one_body_number() (in module ofex.operators.fermion_operator_tools) one_body_reflection() (in module ofex.operators.fermion_operator_tools) operator() (in module ofex.operators.symbolic_operator_tools) optimal_sorted_insertion() (in module ofex.measurement) order_abs_coeff() (in module ofex.operators.ordering) overlap_matrix (ofex.classical_algorithms.funcapprox.FunctionBasis property)

P

pauli_covariance() (in module ofex.measurement) pauli_idx_from_group() (in module ofex.measurement) pauli_split_group() (in module ofex.measurement) pauli_to_tableau() (in module ofex.clifford) pickle() (ofex.sampling_simulation.sampling_base.JointProbDist method) (ofex.sampling_simulation.sampling_base.ProbDist method) plot_functions() (in module ofex.classical_algorithms.funcapprox)

PolyacenePPP (class in ofex.hamiltonian) prepare_qksd_est_op() (in module ofex.sampling_simulation) prepare_qksd_est_state() (in module ofex.sampling_simulation) pretty_print_state() (in module ofex.state.state_tools) pretty_string() (ofex.state.BinaryFockVector method) ProbDist (class in ofex.sampling_simulation.sampling_base) projection() (ofex.classical_algorithms.funcapprox.FunctionBasis method)

Q

qksd_extended_swap_test_run() (in module ofex.sampling_simulation) qubit_reduction_operator() (in module ofex.transforms)

qubit_reduction_state() (in module ofex.transforms) qubit_to_fermion_state() (in module ofex.transforms)

R

recursive_dict_items() (in module ofex.utils.dict_utils) recursive_dict_keys() (in module ofex.utils.dict_utils) recursive_dict_update() (in module ofex.utils.dict_utils)

reflective_pauli_expm() (in module ofex.linalg.pauli_expm) run_driver() (in module ofex.utils.chem) run_efficient_ics() (in module ofex.measurement.iterative_coefficient_splitting) run_ics() (in module ofex.measurement.iterative_coefficient_splitting)

S

sample_num() (ofex.sampling_simulation.sampling_base.JointProbDist method) (ofex.sampling_simulation.sampling_base.ProbDist method) ScipySparse (in module ofex.state.types) shot_alloc_by_norm() (in module ofex.measurement) single_pauli_commute_chk() (in module ofex.operators.qubit_operator_tools) single_pauli_expm() (in module ofex.linalg.pauli_expm) single_term() (in module ofex.operators.symbolic_operator_tools) sorted_insertion() (in module ofex.measurement)

sparse_apply_operator() (in module ofex.linalg.sparse_tools) state_allclose() (in module ofex.state.state_tools) state_dot() (in module ofex.linalg.sparse_tools) state_to_fock_vector() (in module ofex.state.state_tools) state_type_transform() (in module ofex.state.state_tools) str_tableau() (in module ofex.clifford) str_tableau_side_by_side() (in module ofex.clifford) sub_values() (in module ofex.utils.dict_utils)

T

t0 (ofex.hamiltonian.PolyacenePPP attribute) t_ (ofex.hamiltonian.PolyacenePPP attribute) tableau_to_pauli() (in module ofex.clifford) to_dense() (in module ofex.state.state_tools) to_int() (ofex.state.BinaryFockVector method) to_scipy_sparse() (in module ofex.state.state_tools) to_sparse_dict() (in module ofex.state.state_tools) transition_amplitude() (in module ofex.linalg.sparse_tools) trotter_ite_by_si_comm() (in module ofex.propagator) trotter_ite_by_si_ref() (in module ofex.propagator) trotter_ite_by_single_pauli() (in module ofex.propagator)

trotter_rte_by_si_comm() (in module ofex.propagator) trotter_rte_by_si_ref() (in module ofex.propagator) trotter_rte_by_single_pauli() (in module ofex.propagator) true_average (ofex.sampling_simulation.sampling_base.JointProbDist property) (ofex.sampling_simulation.sampling_base.ProbDist property) true_covariance (ofex.sampling_simulation.sampling_base.JointProbDist property) true_std (ofex.sampling_simulation.sampling_base.JointProbDist property) (ofex.sampling_simulation.sampling_base.ProbDist property) true_variance (ofex.sampling_simulation.sampling_base.JointProbDist property) (ofex.sampling_simulation.sampling_base.ProbDist property) two_body_reflection() (in module ofex.operators.fermion_operator_tools) type_state() (in module ofex.state.types)

U

uniform_inner_product() (in module ofex.classical_algorithms.funcapprox)

unpickle() (ofex.sampling_simulation.sampling_base.JointProbDist class method) (ofex.sampling_simulation.sampling_base.ProbDist class method)

Z

zz_1d() (in module ofex.hamiltonian)