Index

A

A_gens() (AmplitudeEstimation method) adder_ripple_c04() (MultiplierHRS method) AdderHamiltonianMixture (class in qolumbina.programs.hamiltonian.adder_hamiltonian_mixture) adjacency_matrix (GraphStateGate property) AE_Subroutine() (QuantumMonteCarlo method) alpha2theta() (HarrowHassidimLloyd method) (UniformlyControlledRotations method)

AmplitudeEstimation (class in qolumbina.programs.amplitude_estimation.amplitude_estimation) AnalyticIdealSimulation (class in qolumbina.utils.execution_framework) APPLY (PureStateInitialization attribute) apply() (QuantumMeasurement method) ApplyIQFT() (DraperAdder method) ApplyQFT() (DraperAdder method)

B

backend (ShotBasedBackend property) (ShotIndependentBackend property) BernsteinVazirani (class in qolumbina.programs.bernstein_vazirani.bv)

binomial_coefficients() (PolynomialPauliRotations method) build_with_control() (SparseHamiltonian method) build_without_control() (SparseHamiltonian method)

C

control_angles (MixedStateInitialization attribute) control_qubits (MixedStateInitialization attribute) controlled_multiple_mod_n() (Shor method) conversion_matrix() (HarrowHassidimLloyd method) (UniformlyControlledRotations method) counts_to_expectation() (in module qolumbina.utils.data_conversion) counts_to_probabilities() (in module qolumbina.utils.data_conversion)

create_circuit() (MultiplierHRS method) create_instance() (in module qolumbina.programs.shor_algorithm.shor) create_uniformly_controlled_rotations() (in module qolumbina.programs.pauli_rotations.uniform_controlled_rotations) CRk() (DraperAdder method) Ctrl_Q() (AmplitudeEstimation method) (QuantumMonteCarlo method) ctrl_u() (HarrowHassidimLloyd method) ctrl_ui() (HarrowHassidimLloyd method)

D

decompose_joint_state() (in module qolumbina.utils.data_conversion) DeutschJozsa (class in qolumbina.programs.deutsch_jozsa.dj) Diagonal (class in qolumbina.programs.diagonal.diagonal) DiagonalGate (class in qolumbina.programs.diagonal.diagonal) DiagonalZHamiltonian (class in qolumbina.programs.hamiltonian.diagonal_hamiltonian)

diffuser() (GroverSearch method) dj_oracle() (DeutschJozsa method) dot_product() (HarrowHassidimLloyd method) double_controlled_phi_add_mod_n() (Shor method) DraperAdder (class in qolumbina.programs.quantum_adder.draper_adder)

E

ExactReciprocal (class in qolumbina.programs.exact_reciprocal.exact_reciprocal)

ExactReciprocalGate (class in qolumbina.programs.exact_reciprocal.exact_reciprocal)

F

f_gate() (WState method) f_on_objective() (QuantumMonteCarlo method)

frac_to_gate_list() (in module qolumbina.utils.data_conversion) FullAdder (class in qolumbina.programs.quantum_adder.full_adder)

G

GATE_LIST (InitStateType attribute) geq (IntegerComparatorOld property) get_angles() (Shor static method) get_rotation_coefficients() (PolynomialPauliRotations method) GHZState (class in qolumbina.programs.state_preparation.ghz_state)

GraphState (class in qolumbina.programs.state_preparation.graph_state) GraphStateGate (class in qolumbina.programs.state_preparation.graph_state) grover_operator() (QuantumCounting method) grover_step() (GroverSearch method) GroverOperator (class in qolumbina.programs.grover.grover_operator) GroverSearch (class in qolumbina.programs.grover.grover_search)

H

HarrowHassidimLloyd (class in qolumbina.programs.harrow_hassidim_lloyd.hhl)

has_mixed_state_configuration (QuantumSystemSimulation property) HiddenShift (class in qolumbina.programs.hidden_subgroup_problem.hidden_shift)

I

infer_init_state_type() (in module qolumbina.utils.state_initialization) infer_measurement_basis_type() (in module qolumbina.utils.quantum_measurement) init_qubits (AnalyticIdealSimulation property) (QuantumSystemSimulation property) init_state (AnalyticIdealSimulation property) (QuantumSystemSimulation property) initialize_state() (HarrowHassidimLloyd method) InitStateType (class in qolumbina.utils.state_initialization) int_to_gate_list() (in module qolumbina.utils.data_conversion)

IntegerComparatorGreedy (class in qolumbina.programs.comparator.integer_comparator_greedy) IntegerComparatorOld (class in qolumbina.programs.comparator.integer_comparator_old) inv_qft_gate() (HarrowHassidimLloyd method) inv_qpe() (HarrowHassidimLloyd method) inverse() (DiagonalGate method) IQFT() (HarrowHassidimLloyd method) Is2PowerPhase (class in qolumbina.programs.is_two_power.is_two_power_phase) Is2PowerQubit (class in qolumbina.programs.is_two_power.is_two_power_qubit) IsingEvolution (class in qolumbina.programs.ising.ising)

L

large_coefficients_iter() (PolynomialPauliRotations method) LessThanPhase (class in qolumbina.programs.comparator.less_than_phase)

LessThanQubit (class in qolumbina.programs.comparator.less_than_qubit) LinearPauliRotations (class in qolumbina.programs.pauli_rotations.linear_pauli_rotations) load_all_benchmarks() (in module qolumbina.programs.benchmark_registry)

M

make_test_result_collector() (in module qolumbina.utils.save_tests) MeaBasisType (class in qolumbina.utils.quantum_measurement) meas_basis (QuantumSystemSimulation property) meas_mapping (QuantumSystemSimulation property) measure() (QuantumMeasurement class method) MixedStateInitialization (class in qolumbina.utils.state_initialization) module qolumbina.programs.amplitude_estimation.amplitude_estimation qolumbina.programs.benchmark_registry qolumbina.programs.bernstein_vazirani.bv qolumbina.programs.comparator.integer_comparator_greedy qolumbina.programs.comparator.integer_comparator_old qolumbina.programs.comparator.less_than_phase qolumbina.programs.comparator.less_than_qubit qolumbina.programs.deutsch_jozsa.dj qolumbina.programs.diagonal.diagonal qolumbina.programs.exact_reciprocal.exact_reciprocal qolumbina.programs.grover.grover_operator qolumbina.programs.grover.grover_search qolumbina.programs.hamiltonian.adder_hamiltonian_mixture qolumbina.programs.hamiltonian.diagonal_hamiltonian qolumbina.programs.hamiltonian.sparse_hamiltonian qolumbina.programs.harrow_hassidim_lloyd.hhl qolumbina.programs.hidden_subgroup_problem.hidden_shift qolumbina.programs.hidden_subgroup_problem.simon qolumbina.programs.is_two_power.is_two_power_phase qolumbina.programs.is_two_power.is_two_power_qubit qolumbina.programs.ising.ising qolumbina.programs.monte_carlo.monte_carlo qolumbina.programs.parity.parity_phase qolumbina.programs.parity.parity_qubit qolumbina.programs.pauli_rotations.linear_pauli_rotations qolumbina.programs.pauli_rotations.polynomial_pauli_rotations qolumbina.programs.pauli_rotations.uniform_controlled_rotations qolumbina.programs.phase_estimation.phase_estimation qolumbina.programs.quadratic_form.quadratic_form qolumbina.programs.quantum_adder.draper_adder qolumbina.programs.quantum_adder.full_adder qolumbina.programs.quantum_adder.weighted_adder qolumbina.programs.quantum_counting.counting qolumbina.programs.quantum_fourier_transform.qft qolumbina.programs.quantum_multiplier.multiplier_hrs qolumbina.programs.quantum_multiplier.multiplier_qft qolumbina.programs.quantum_walk.quantum_walk qolumbina.programs.shor_algorithm._common.shor_postprocessing qolumbina.programs.shor_algorithm.shor qolumbina.programs.state_preparation.ghz_state qolumbina.programs.state_preparation.graph_state qolumbina.programs.state_preparation.w_state qolumbina.utils.backend_execution qolumbina.utils.data_conversion qolumbina.utils.execution_framework qolumbina.utils.quantum_measurement qolumbina.utils.save_tests qolumbina.utils.state_initialization

multinomial_coefficients() (PolynomialPauliRotations method) MultiplierHRS (class in qolumbina.programs.quantum_multiplier.multiplier_hrs) MultiplierQFT (class in qolumbina.programs.quantum_multiplier.multiplier_qft)

N

noise_model (ShotBasedBackend property) num_ancilla_qubits (IntegerComparatorOld property) num_carry_qubits (WeightedAdder property) num_control_qubits (MixedStateInitialization attribute) (WeightedAdder property) num_result_qubits (MultiplierQFT property)

num_state_qubits (FullAdder property) (IntegerComparatorOld property) (MultiplierQFT property) (WeightedAdder property) num_sum_qubits (WeightedAdder property) num_system_qubits (MixedStateInitialization attribute) num_total_qubits (MixedStateInitialization attribute)

P

ParityPhase (class in qolumbina.programs.parity.parity_phase) ParityQubit (class in qolumbina.programs.parity.parity_qubit) PAULI_BASIS_SET (QuantumMeasurement attribute) PAULI_MAPPING (MeaBasisType attribute) PAULI_STRING (MeaBasisType attribute) PAULI_STRING_TRANS (QuantumMeasurement attribute)

PhaseEstimation (class in qolumbina.programs.phase_estimation.phase_estimation) phi_add_gate() (Shor static method) PolynomialPauliRotations (class in qolumbina.programs.pauli_rotations.polynomial_pauli_rotations) power_mod_n() (Shor method) process_test_result() (in module qolumbina.utils.save_tests) PureStateInitialization (class in qolumbina.utils.state_initialization)

Q

qc (MixedStateInitialization attribute) QFT (class in qolumbina.programs.quantum_fourier_transform.qft) QFT() (HarrowHassidimLloyd method) qft_gate() (HarrowHassidimLloyd method) qolumbina.programs.amplitude_estimation.amplitude_estimation module qolumbina.programs.benchmark_registry module qolumbina.programs.bernstein_vazirani.bv module qolumbina.programs.comparator.integer_comparator_greedy module qolumbina.programs.comparator.integer_comparator_old module qolumbina.programs.comparator.less_than_phase module qolumbina.programs.comparator.less_than_qubit module qolumbina.programs.deutsch_jozsa.dj module qolumbina.programs.diagonal.diagonal module qolumbina.programs.exact_reciprocal.exact_reciprocal module qolumbina.programs.grover.grover_operator module qolumbina.programs.grover.grover_search module qolumbina.programs.hamiltonian.adder_hamiltonian_mixture module qolumbina.programs.hamiltonian.diagonal_hamiltonian module qolumbina.programs.hamiltonian.sparse_hamiltonian module qolumbina.programs.harrow_hassidim_lloyd.hhl module qolumbina.programs.hidden_subgroup_problem.hidden_shift module qolumbina.programs.hidden_subgroup_problem.simon module qolumbina.programs.is_two_power.is_two_power_phase module qolumbina.programs.is_two_power.is_two_power_qubit module qolumbina.programs.ising.ising module qolumbina.programs.monte_carlo.monte_carlo module qolumbina.programs.parity.parity_phase module qolumbina.programs.parity.parity_qubit module qolumbina.programs.pauli_rotations.linear_pauli_rotations module

qolumbina.programs.pauli_rotations.polynomial_pauli_rotations module qolumbina.programs.pauli_rotations.uniform_controlled_rotations module qolumbina.programs.phase_estimation.phase_estimation module qolumbina.programs.quadratic_form.quadratic_form module qolumbina.programs.quantum_adder.draper_adder module qolumbina.programs.quantum_adder.full_adder module qolumbina.programs.quantum_adder.weighted_adder module qolumbina.programs.quantum_counting.counting module qolumbina.programs.quantum_fourier_transform.qft module qolumbina.programs.quantum_multiplier.multiplier_hrs module qolumbina.programs.quantum_multiplier.multiplier_qft module qolumbina.programs.quantum_walk.quantum_walk module qolumbina.programs.shor_algorithm._common.shor_postprocessing module qolumbina.programs.shor_algorithm.shor module qolumbina.programs.state_preparation.ghz_state module qolumbina.programs.state_preparation.graph_state module qolumbina.programs.state_preparation.w_state module qolumbina.utils.backend_execution module qolumbina.utils.data_conversion module qolumbina.utils.execution_framework module qolumbina.utils.quantum_measurement module qolumbina.utils.save_tests module qolumbina.utils.state_initialization module qpe() (HarrowHassidimLloyd method) QuadraticForm (class in qolumbina.programs.quadratic_form.quadratic_form) QuadraticFormGate (class in qolumbina.programs.quadratic_form.quadratic_form) QuantumCounting (class in qolumbina.programs.quantum_counting.counting) QuantumMeasurement (class in qolumbina.utils.quantum_measurement) QuantumMonteCarlo (class in qolumbina.programs.monte_carlo.monte_carlo) QuantumSystemSimulation (class in qolumbina.utils.execution_framework) QuantumWalk (class in qolumbina.programs.quantum_walk.quantum_walk)

R

register_benchmark() (in module qolumbina.programs.benchmark_registry) required_clbits() (QuantumMeasurement class method) required_result_qubits() (QuadraticForm static method) (QuadraticFormGate static method)

resolve_measurement_spec() (QuantumMeasurement class method) Reverse() (DraperAdder method)

S

Shor (class in qolumbina.programs.shor_algorithm.shor) shor_classical_postprocess() (in module qolumbina.programs.shor_algorithm._common.shor_postprocessing) ShotBasedBackend (class in qolumbina.utils.backend_execution) ShotIndependentBackend (class in qolumbina.utils.backend_execution) Simon (class in qolumbina.programs.hidden_subgroup_problem.simon) simon_oracle() (Simon method)

SINGLE_QUBIT_GATE_MAP (PureStateInitialization attribute) SparseHamiltonian (class in qolumbina.programs.hamiltonian.sparse_hamiltonian) square_on_objective() (QuantumMonteCarlo method) state_prep() (QuantumMonteCarlo method) STATE_VECTOR (InitStateType attribute) synth_integer_comparator_greedy() (IntegerComparatorGreedy method) synth_qft_full() (Shor method)

T

target_qubits (MixedStateInitialization attribute) transpiled_cut_depth (QuantumSystemSimulation property) transpiled_cut_size (QuantumSystemSimulation property)

transpiled_cut_width (QuantumSystemSimulation property) transpiled_execution_depth (QuantumSystemSimulation property) transpiled_execution_size (QuantumSystemSimulation property) transpiled_execution_width (QuantumSystemSimulation property)

U

UCPauliRotGate (class in qolumbina.programs.diagonal.diagonal) UCRZGate (class in qolumbina.programs.diagonal.diagonal) Uf_oracle() (HiddenShift method) Ug_oracle() (HiddenShift method)

uni_con_rot_recursive_step() (UniformlyControlledRotations method) uniform_prep() (QuantumMonteCarlo method) uniformly_controlled_rot() (UniformlyControlledRotations method) UniformlyControlledRotations (class in qolumbina.programs.pauli_rotations.uniform_controlled_rotations)

V

V_gate() (SparseHamiltonian method) validate_input() (Shor static method) validate_parameter() (DiagonalGate method) (GraphStateGate method) (QuadraticFormGate method)

value (IntegerComparatorOld property)

W

W_gate() (SparseHamiltonian method) WeightedAdder (class in qolumbina.programs.quantum_adder.weighted_adder)

weights (WeightedAdder property) whether_noisy (ShotBasedBackend property) WState (class in qolumbina.programs.state_preparation.w_state)