Index

_

__add__() (atlas_q.mpo_ops.MPO method), [1], [2], [3] __del__() (atlas_q.cuquantum_backend.CuQuantumBackend method), [1], [2] (atlas_q.cuquantum_backend.CuStateVecBackend method) __init__() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2], [3] (atlas_q.adaptive_mps.DTypePolicy method) (atlas_q.cuquantum_backend.CuQuantumBackend method), [1], [2], [3] (atlas_q.cuquantum_backend.CuQuantumConfig method) (atlas_q.diagnostics.MPSStatistics method), [1] (atlas_q.grover.BitmapOracle method) (atlas_q.grover.DiffusionOperator method) (atlas_q.grover.FunctionOracle method) (atlas_q.grover.GroverConfig method) (atlas_q.grover.GroverSearch method) (atlas_q.grover.OracleBase method) (atlas_q.mpo_ops.MPO method) (atlas_q.mpo_ops.MPOBuilder method) (atlas_q.quantum_hybrid_system.CompressedQuantumState method) (atlas_q.quantum_hybrid_system.GPUAccelerator method) (atlas_q.quantum_hybrid_system.MatrixProductState method) (atlas_q.quantum_hybrid_system.PeriodFinder method) (atlas_q.quantum_hybrid_system.PeriodicState method) (atlas_q.quantum_hybrid_system.PeriodResult method) (atlas_q.quantum_hybrid_system.ProductState method) (atlas_q.quantum_hybrid_system.QuantumCircuit method) (atlas_q.quantum_hybrid_system.QuantumClassicalHybrid method) (atlas_q.stabilizer_backend.HybridSimulator method) (atlas_q.stabilizer_backend.StabilizerSimulator method) (atlas_q.stabilizer_backend.StabilizerState method) (atlas_q.tdvp.TDVP1Site method), [1] (atlas_q.tdvp.TDVP2Site method), [1] (atlas_q.tdvp.TDVPConfig method) (atlas_q.vqe_qaoa.HardwareEfficientAnsatz method) (atlas_q.vqe_qaoa.QAOA method) (atlas_q.vqe_qaoa.QAOAAnsatz method) (atlas_q.vqe_qaoa.VQE method) (atlas_q.vqe_qaoa.VQEConfig method)

__mul__() (atlas_q.mpo_ops.MPO method) __str__() (atlas_q.quantum_hybrid_system.QuantumCircuit method), [1], [2]

A

accelerated_mps_contraction() (atlas_q.quantum_hybrid_system.GPUAccelerator method), [1], [2] adaptive_chi_from_coherence() (in module atlas_q.truncation) adaptive_dt (atlas_q.tdvp.TDVPConfig attribute), [1], [2] AdaptiveMPS (class in atlas_q.adaptive_mps), [1], [2] add_1q_channel() (atlas_q.noise_models.NoiseModel method) add_2q_channel() (atlas_q.noise_models.NoiseModel method) add_gate() (atlas_q.quantum_hybrid_system.QuantumCircuit method), [1], [2] add_two_qubit_gate() (atlas_q.circuit_cutting.CouplingGraph method) adjacency (atlas_q.circuit_cutting.CouplingGraph attribute) AIR (atlas_q.ir_enhanced.regime_analyzer.ObservabilityRegime attribute) algorithm (atlas_q.cuquantum_backend.CuQuantumConfig attribute), [1], [2], [3] allocate_shots_neyman() (in module atlas_q.ir_enhanced) amplitude_damping() (atlas_q.noise_models.NoiseModel static method) analyze_circuit() (atlas_q.circuit_cutting.CircuitCutter method) analyze_hamiltonian_regime() (in module atlas_q.ir_enhanced) analyze_mps_bond_regime() (in module atlas_q.ir_enhanced) analyze_state_regime() (in module atlas_q.ir_enhanced) analyze_truncation_regime() (in module atlas_q.truncation) ansatz (atlas_q.vqe_qaoa.QAOA attribute) (atlas_q.vqe_qaoa.VQE attribute) (atlas_q.vqe_qaoa.VQEConfig attribute), [1], [2] apply() (atlas_q.grover.BitmapOracle method), [1], [2] (atlas_q.grover.DiffusionOperator method), [1], [2] (atlas_q.grover.FunctionOracle method), [1], [2] (atlas_q.grover.OracleBase method), [1], [2] (atlas_q.vqe_qaoa.HardwareEfficientAnsatz method), [1], [2], [3] (atlas_q.vqe_qaoa.QAOAAnsatz method), [1], [2], [3] apply_gate() (atlas_q.cuquantum_backend.CuStateVecBackend method) apply_hadamard() (atlas_q.quantum_hybrid_system.ProductState method), [1], [2] apply_mpo() (atlas_q.distributed_mps.DistributedMPS method) apply_mpo_to_mps() (in module atlas_q.mpo_ops), [1], [2] apply_pauli_exp_to_mps() (in module atlas_q.mpo_ops) apply_single_qubit_gate() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] (atlas_q.distributed_mps.DistributedMPS method) (atlas_q.mps_pytorch.MatrixProductStatePyTorch method) (atlas_q.peps.PEPS method)

apply_two_qubit_gate() (atlas_q.distributed_mps.DistributedMPS method) (atlas_q.mps_pytorch.MatrixProductStatePyTorch method) (atlas_q.peps.PEPS method) apply_two_site_gate() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] apply_x() (atlas_q.quantum_hybrid_system.ProductState method), [1], [2] atlas_q.adaptive_mps module atlas_q.cuquantum_backend module atlas_q.diagnostics module atlas_q.grover module atlas_q.ir_enhanced module atlas_q.linalg_robust module atlas_q.mpo_ops module atlas_q.quantum_hybrid_system module atlas_q.stabilizer_backend module atlas_q.tdvp module atlas_q.truncation module atlas_q.vqe_qaoa module attempts (atlas_q.quantum_hybrid_system.PeriodResult attribute), [1], [2] auto_iterations (atlas_q.grover.GroverConfig attribute), [1], [2], [3]

B

baby_step_giant_step() (atlas_q.quantum_hybrid_system.PeriodFinder static method), [1], [2] batched_period_check() (atlas_q.quantum_hybrid_system.GPUAccelerator method), [1], [2] benchmark_backend() (in module atlas_q.cuquantum_backend) BitmapOracle (class in atlas_q.grover), [1], [2]

bond_dim (atlas_q.mps_pytorch.MatrixProductStatePyTorch attribute) bond_entropy_from_S() (in module atlas_q.diagnostics), [1], [2] BOND_PARALLEL (atlas_q.distributed_mps.DistMode attribute) BOUNDARY_MPS (atlas_q.peps.ContractionStrategy attribute) build_molecular_hamiltonian() (in module atlas_q.vqe_qaoa), [1]

C

calculate_grover_iterations() (in module atlas_q.grover), [1], [2] canonicalize_distributed() (atlas_q.distributed_mps.DistributedMPS method) canonicalize_left_to_right() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] (atlas_q.mps_pytorch.MatrixProductStatePyTorch method) (atlas_q.quantum_hybrid_system.MatrixProductState method), [1], [2] canonicalize_right_to_left() (atlas_q.mps_pytorch.MatrixProductStatePyTorch method) (atlas_q.quantum_hybrid_system.MatrixProductState method), [1], [2] channels_1q (atlas_q.noise_models.NoiseModel attribute) channels_2q (atlas_q.noise_models.NoiseModel attribute) check_entropy_sanity() (in module atlas_q.truncation), [1], [2] check_group_commutativity() (in module atlas_q.ir_enhanced) check_group_commutativity_edges() (in module atlas_q.ir_enhanced) checkpoint() (atlas_q.distributed_mps.DistributedMPS method) chi_max (atlas_q.grover.GroverConfig attribute), [1], [2], [3] (atlas_q.tdvp.TDVPConfig attribute), [1], [2] (atlas_q.vqe_qaoa.VQEConfig attribute), [1], [2] choose_rank_from_sigma() (in module atlas_q.truncation), [1], [2] choose_rank_with_coherence() (in module atlas_q.truncation) choose_rank_with_decoherence() (in module atlas_q.truncation) choose_rank_with_regime() (in module atlas_q.truncation) CircuitCutter (class in atlas_q.circuit_cutting) CircuitPartition (class in atlas_q.circuit_cutting) cnot() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] (atlas_q.quantum_hybrid_system.QuantumCircuit method), [1], [2] (atlas_q.stabilizer_backend.HybridSimulator method), [1], [2] (atlas_q.stabilizer_backend.StabilizerSimulator method), [1], [2] coherence (atlas_q.ir_enhanced.regime_analyzer.RegimeAnalysis attribute) coherence_aware_truncation_policy() (in module atlas_q.truncation) coherent_structure_score() (in module atlas_q.ir_enhanced) col (atlas_q.peps.PEPSTensor attribute) collision_detection() (atlas_q.quantum_hybrid_system.PeriodFinder static method), [1], [2] cols (atlas_q.peps.PEPS attribute) COLUMN_BY_COLUMN (atlas_q.peps.ContractionStrategy attribute) comm_stream (atlas_q.distributed_mps.DistributedMPS attribute) compile_circuit() (atlas_q.planar_2d.PlanarCircuitSimulator method) CompressedQuantumState (class in atlas_q.quantum_hybrid_system), [1], [2] CompressedQuantumStatePyTorch (class in atlas_q.mps_pytorch) compression_factor (atlas_q.ir_enhanced.TomographyStrategy attribute) compute_averaged_spectrum() (in module atlas_q.ir_enhanced)

compute_entanglement_heatmap() (atlas_q.circuit_cutting.CouplingGraph method) compute_expectation() (atlas_q.peps.PEPS method) compute_expectation_distributed() (atlas_q.distributed_mps.DistributedMPS method) compute_global_error_bound() (in module atlas_q.truncation), [1], [2] compute_gradients() (atlas_q.vqe_qaoa.VQE method) compute_Q_GLS() (in module atlas_q.ir_enhanced) compute_relational_matrix() (in module atlas_q.ir_enhanced) compute_relational_matrix_from_amplitudes() (in module atlas_q.ir_enhanced) compute_spectral_coherence() (in module atlas_q.truncation) condition_number() (in module atlas_q.linalg_robust), [1], [2] config (atlas_q.distributed_mps.DistributedMPS attribute) (atlas_q.peps.PEPS attribute) (atlas_q.tdvp.TDVP1Site attribute) (atlas_q.tdvp.TDVP2Site attribute) (atlas_q.vqe_qaoa.VQE attribute) contract() (atlas_q.cuquantum_backend.CuQuantumBackend method), [1], [2] contract_boundary_mps() (atlas_q.peps.PEPS method) ContractionStrategy (class in atlas_q.peps) copy() (atlas_q.stabilizer_backend.StabilizerSimulator method), [1], [2] (atlas_q.stabilizer_backend.StabilizerState method), [1], [2] correlation_function() (in module atlas_q.mpo_ops), [1], [2] cost_hamiltonian (atlas_q.vqe_qaoa.QAOA attribute) CouplingGraph (class in atlas_q.circuit_cutting) create_circuit() (atlas_q.quantum_hybrid_system.QuantumClassicalHybrid method), [1], [2] create_mps_state() (atlas_q.quantum_hybrid_system.QuantumClassicalHybrid method), [1], [2] create_periodic_state() (atlas_q.quantum_hybrid_system.QuantumClassicalHybrid method), [1], [2] create_product_state() (atlas_q.quantum_hybrid_system.QuantumClassicalHybrid method), [1], [2] CuQuantumBackend (class in atlas_q.cuquantum_backend), [1], [2] CuQuantumConfig (class in atlas_q.cuquantum_backend), [1], [2] CuStateVecBackend (class in atlas_q.cuquantum_backend) CUSTOM (atlas_q.planar_2d.Topology attribute) custom_channels (atlas_q.noise_models.NoiseModel attribute) CutPoint (class in atlas_q.circuit_cutting) CuttingConfig (class in atlas_q.circuit_cutting) cx() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] cy() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] cz() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] (atlas_q.quantum_hybrid_system.QuantumCircuit method), [1], [2] (atlas_q.stabilizer_backend.StabilizerSimulator method), [1], [2]

D

DATA_PARALLEL (atlas_q.distributed_mps.DistMode attribute) default (atlas_q.adaptive_mps.DTypePolicy attribute), [1], [2] demo_advanced_features() (in module atlas_q.quantum_hybrid_system) demo_compressed_states() (in module atlas_q.quantum_hybrid_system) demo_factorization() (in module atlas_q.quantum_hybrid_system) demo_gpu_acceleration() (in module atlas_q.quantum_hybrid_system) demo_period_finding() (in module atlas_q.quantum_hybrid_system) demo_quantum_circuits() (in module atlas_q.quantum_hybrid_system) dephasing() (atlas_q.noise_models.NoiseModel static method) depolarizing() (atlas_q.noise_models.NoiseModel static method) depth() (atlas_q.quantum_hybrid_system.QuantumCircuit method), [1], [2] device (atlas_q.cuquantum_backend.CuQuantumConfig attribute), [1], [2], [3] (atlas_q.grover.GroverConfig attribute), [1], [2], [3] (atlas_q.mps_pytorch.MatrixProductStatePyTorch attribute) (atlas_q.vqe_qaoa.VQEConfig attribute), [1], [2]

DiffusionOperator (class in atlas_q.grover), [1], [2] DIRECT (atlas_q.ir_enhanced.regime_analyzer.RepresentationType attribute) DistMode (class in atlas_q.distributed_mps) DistributedConfig (class in atlas_q.distributed_mps) DistributedMPS (class in atlas_q.distributed_mps) dominant_modes (atlas_q.ir_enhanced.regime_analyzer.RegimeAnalysis attribute) dt (atlas_q.tdvp.TDVPConfig attribute), [1], [2] dt_max (atlas_q.tdvp.TDVPConfig attribute), [1], [2] dt_min (atlas_q.tdvp.TDVPConfig attribute), [1], [2] dtype (atlas_q.grover.GroverConfig attribute), [1], [2], [3] (atlas_q.vqe_qaoa.VQEConfig attribute), [1], [2] DTypePolicy (class in atlas_q.adaptive_mps), [1], [2]

E

edges (atlas_q.circuit_cutting.CouplingGraph attribute) edges_commute() (in module atlas_q.ir_enhanced) effective_rank() (in module atlas_q.diagnostics), [1], [2] eigenvalues (atlas_q.ir_enhanced.SpectralLiftingResult attribute) eigenvectors (atlas_q.ir_enhanced.SpectralLiftingResult attribute) energies (atlas_q.vqe_qaoa.VQE attribute) eps_bond (atlas_q.tdvp.TDVPConfig attribute), [1], [2] error_tol (atlas_q.tdvp.TDVPConfig attribute), [1], [2] estimate_edge_coherence_matrix() (in module atlas_q.ir_enhanced) estimate_gradient_coherence_matrix() (in module atlas_q.ir_enhanced) estimate_pauli_coherence_matrix() (in module atlas_q.ir_enhanced)

estimate_sampling_overhead() (atlas_q.circuit_cutting.CircuitCutter method) estimate_shot_reduction() (in module atlas_q.ir_enhanced) evaluate_energy() (atlas_q.vqe_qaoa.VQE method) evolve_bond() (atlas_q.tdvp.TDVP2Site method) evolve_site() (atlas_q.tdvp.TDVP1Site method) execute_circuit() (atlas_q.quantum_hybrid_system.QuantumClassicalHybrid method), [1], [2] execute_on_product_state() (atlas_q.quantum_hybrid_system.QuantumCircuit method), [1], [2] expectation_value() (atlas_q.mps_pytorch.MatrixProductStatePyTorch method) (in module atlas_q.mpo_ops), [1], [2] expected_variance (atlas_q.ir_enhanced.ShadowSamplingResult attribute) EXPENSIVE (atlas_q.ir_enhanced.regime_analyzer.RepresentationType attribute) extract_structure_modes() (in module atlas_q.ir_enhanced)

F

factor_number() (atlas_q.quantum_hybrid_system.QuantumClassicalHybrid method), [1], [2] find_period() (atlas_q.quantum_hybrid_system.QuantumClassicalHybrid method), [1], [2] find_period_candidates() (in module atlas_q.ir_enhanced) find_period_gpu() (atlas_q.quantum_hybrid_system.QuantumClassicalHybrid method), [1], [2] from_local_ops() (atlas_q.mpo_ops.MPO class method) (atlas_q.mpo_ops.MPO static method), [1], [2]

from_local_terms() (atlas_q.mpo_ops.MPOBuilder static method), [1], [2] from_operators() (atlas_q.mpo_ops.MPO class method) (atlas_q.mpo_ops.MPO static method), [1], [2] FULL_UPDATE (atlas_q.peps.ContractionStrategy attribute) FunctionOracle (class in atlas_q.grover), [1], [2]

G

gate_count() (atlas_q.quantum_hybrid_system.QuantumCircuit method), [1], [2] gather_state() (atlas_q.distributed_mps.DistributedMPS method) generate_pauli_basis() (in module atlas_q.ir_enhanced) get_amplitude() (atlas_q.mps_pytorch.CompressedQuantumStatePyTorch method) (atlas_q.mps_pytorch.MatrixProductStatePyTorch method) (atlas_q.peps.PEPS method) (atlas_q.quantum_hybrid_system.CompressedQuantumState method), [1], [2] (atlas_q.quantum_hybrid_system.MatrixProductState method), [1], [2] (atlas_q.quantum_hybrid_system.PeriodicState method), [1], [2] (atlas_q.quantum_hybrid_system.ProductState method), [1], [2] get_backend() (in module atlas_q.cuquantum_backend) get_cuquantum_version() (in module atlas_q.cuquantum_backend) get_degree() (atlas_q.circuit_cutting.CouplingGraph method) get_distance() (atlas_q.planar_2d.SnakeMapper method) get_gate_matrix() (atlas_q.quantum_hybrid_system.QuantumCircuit method), [1], [2] get_marked_count() (atlas_q.grover.OracleBase method), [1], [2] get_memory_usage() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] get_neighbors() (atlas_q.circuit_cutting.CouplingGraph method) get_param_shift() (atlas_q.vqe_qaoa.HardwareEfficientAnsatz method), [1], [2] get_probability() (atlas_q.mps_pytorch.CompressedQuantumStatePyTorch method) (atlas_q.quantum_hybrid_system.CompressedQuantumState method), [1], [2]

get_state() (atlas_q.vqe_qaoa.VQE method) get_statevec_backend() (in module atlas_q.cuquantum_backend) get_statistics() (atlas_q.stabilizer_backend.HybridSimulator method), [1], [2] global_error_bound() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] (atlas_q.diagnostics.MPSStatistics method), [1], [2], [3] gpu_modular_exponentiation() (atlas_q.quantum_hybrid_system.GPUAccelerator method), [1], [2] GPUAccelerator (class in atlas_q.quantum_hybrid_system), [1], [2] gradient_method (atlas_q.vqe_qaoa.VQEConfig attribute), [1], [2] GradientGroupingResult (class in atlas_q.ir_enhanced) group_by_variance_minimization() (in module atlas_q.ir_enhanced) group_edges_by_commutativity() (in module atlas_q.ir_enhanced) group_parameters_by_variance() (in module atlas_q.ir_enhanced) grouping (atlas_q.ir_enhanced.TomographyStrategy attribute) GroupingResult (class in atlas_q.ir_enhanced) groups (atlas_q.ir_enhanced.GradientGroupingResult attribute) (atlas_q.ir_enhanced.GroupingResult attribute), [1] (atlas_q.ir_enhanced.QAOAGroupingResult attribute) (atlas_q.ir_enhanced.TDVPObservableGroupingResult attribute) grover_search() (in module atlas_q.grover), [1], [2] GroverConfig (class in atlas_q.grover), [1], [2] GroverSearch (class in atlas_q.grover), [1], [2]

H

h() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] (atlas_q.quantum_hybrid_system.QuantumCircuit method), [1], [2] (atlas_q.stabilizer_backend.HybridSimulator method), [1], [2] (atlas_q.stabilizer_backend.StabilizerSimulator method), [1], [2] hamiltonian (atlas_q.tdvp.TDVP1Site attribute) (atlas_q.tdvp.TDVP2Site attribute) (atlas_q.vqe_qaoa.VQE attribute)

HardwareEfficientAnsatz (class in atlas_q.vqe_qaoa), [1], [2] HEAVY_HEX (atlas_q.planar_2d.Topology attribute) heisenberg_hamiltonian() (atlas_q.mpo_ops.MPOBuilder static method), [1], [2], [3] HybridSimulator (class in atlas_q.stabilizer_backend), [1], [2]

I

identity() (atlas_q.mpo_ops.MPO class method) (atlas_q.mpo_ops.MPO static method), [1], [2] identity_mpo() (atlas_q.mpo_ops.MPOBuilder static method), [1], [2], [3] init_plus() (atlas_q.stabilizer_backend.StabilizerState static method), [1], [2] init_zero() (atlas_q.stabilizer_backend.StabilizerState static method), [1], [2] inner_product() (atlas_q.mps_pytorch.MatrixProductStatePyTorch method) insert_cut_operators() (atlas_q.circuit_cutting.CircuitCutter method) IR (atlas_q.ir_enhanced.regime_analyzer.ObservabilityRegime attribute) ir_enhanced_period_finding() (in module atlas_q.ir_enhanced) ir_gradient_grouping() (in module atlas_q.ir_enhanced) ir_hamiltonian_grouping() (in module atlas_q.ir_enhanced)

ir_preprocess_period() (in module atlas_q.ir_enhanced) ir_qaoa_grouping() (in module atlas_q.ir_enhanced) ir_shadow_sampling() (in module atlas_q.ir_enhanced) ir_state_tomography() (in module atlas_q.ir_enhanced) ir_tdvp_observable_grouping() (in module atlas_q.ir_enhanced) is_canonical (atlas_q.mps_pytorch.MatrixProductStatePyTorch attribute) is_classically_tractable (atlas_q.ir_enhanced.regime_analyzer.RegimeAnalysis attribute) is_clifford_gate() (in module atlas_q.stabilizer_backend), [1], [2] is_cuquantum_available() (in module atlas_q.cuquantum_backend) is_valid (atlas_q.noise_models.NoiseChannel attribute) ising_hamiltonian() (atlas_q.mpo_ops.MPOBuilder static method), [1], [2], [3]

K

kraus_ops (atlas_q.noise_models.NoiseChannel attribute)

krylov_dim (atlas_q.tdvp.TDVPConfig attribute), [1], [2]

L

Layout2D (class in atlas_q.planar_2d) left_boundary (atlas_q.distributed_mps.MPSPartition attribute) left_envs (atlas_q.tdvp.TDVP1Site attribute)

load_checkpoint() (atlas_q.distributed_mps.DistributedMPS method) load_snapshot() (atlas_q.adaptive_mps.AdaptiveMPS static method), [1], [2] local_operator() (atlas_q.mpo_ops.MPOBuilder static method), [1], [2]

M

M (atlas_q.ir_enhanced.SpectralLiftingResult attribute) map_1d_to_2d() (atlas_q.planar_2d.SnakeMapper method) map_2d_to_1d() (atlas_q.planar_2d.SnakeMapper method) MappingConfig (class in atlas_q.planar_2d) mark() (atlas_q.grover.OracleBase method), [1], [2] MatrixProductState (class in atlas_q.quantum_hybrid_system), [1], [2] MatrixProductStatePyTorch (class in atlas_q.mps_pytorch) max_iter (atlas_q.vqe_qaoa.VQEConfig attribute), [1], [2] max_iterations (atlas_q.grover.GroverConfig attribute), [1], [2], [3] maxcut_hamiltonian() (atlas_q.mpo_ops.MPOBuilder static method), [1], [2], [3] measure() (atlas_q.quantum_hybrid_system.CompressedQuantumState method), [1], [2] (atlas_q.quantum_hybrid_system.MatrixProductState method), [1], [2] (atlas_q.quantum_hybrid_system.PeriodicState method), [1], [2] (atlas_q.stabilizer_backend.HybridSimulator method), [1], [2] (atlas_q.stabilizer_backend.StabilizerSimulator method), [1], [2] measure_success_prob (atlas_q.grover.GroverConfig attribute), [1], [2], [3] measurement_basis (atlas_q.ir_enhanced.TomographyStrategy attribute) measurement_order (atlas_q.ir_enhanced.TomographyStrategy attribute) measurement_probs (atlas_q.ir_enhanced.ShadowSamplingResult attribute) memory_usage (atlas_q.distributed_mps.MPSPartition attribute) memory_usage() (atlas_q.quantum_hybrid_system.MatrixProductState method), [1], [2] (atlas_q.quantum_hybrid_system.PeriodicState method), [1], [2] (atlas_q.quantum_hybrid_system.ProductState method), [1], [2] method (atlas_q.ir_enhanced.GradientGroupingResult attribute) (atlas_q.ir_enhanced.GroupingResult attribute), [1] (atlas_q.ir_enhanced.QAOAGroupingResult attribute) (atlas_q.ir_enhanced.ShadowSamplingResult attribute) (atlas_q.ir_enhanced.TDVPObservableGroupingResult attribute) (atlas_q.ir_enhanced.TomographyStrategy attribute) (atlas_q.quantum_hybrid_system.PeriodResult attribute), [1], [2]

mixer_hamiltonian (atlas_q.vqe_qaoa.QAOA attribute) module atlas_q.adaptive_mps atlas_q.cuquantum_backend atlas_q.diagnostics atlas_q.grover atlas_q.ir_enhanced atlas_q.linalg_robust atlas_q.mpo_ops atlas_q.quantum_hybrid_system atlas_q.stabilizer_backend atlas_q.tdvp atlas_q.truncation atlas_q.vqe_qaoa molecular_hamiltonian_from_specs() (atlas_q.mpo_ops.MPOBuilder static method), [1], [2], [3] MPO (class in atlas_q.mpo_ops), [1], [2] MPOBuilder (class in atlas_q.mpo_ops), [1], [2] mps (atlas_q.tdvp.TDVP1Site attribute) (atlas_q.tdvp.TDVP2Site attribute) MPSPartition (class in atlas_q.distributed_mps) MPSStatistics (class in atlas_q.diagnostics), [1], [2] multiplicative_order() (in module atlas_q.ir_enhanced)

N

n_edges (atlas_q.ir_enhanced.QAOAGroupingResult attribute) n_evaluations (atlas_q.vqe_qaoa.VQE attribute) n_groups (atlas_q.ir_enhanced.GradientGroupingResult attribute) (atlas_q.ir_enhanced.QAOAGroupingResult attribute) (atlas_q.ir_enhanced.TDVPObservableGroupingResult attribute) n_layers (atlas_q.vqe_qaoa.VQEConfig attribute), [1], [2] n_measurements (atlas_q.ir_enhanced.TomographyStrategy attribute) n_observables (atlas_q.ir_enhanced.TDVPObservableGroupingResult attribute) n_parameters() (atlas_q.vqe_qaoa.HardwareEfficientAnsatz method) (atlas_q.vqe_qaoa.QAOAAnsatz method) n_params (atlas_q.ir_enhanced.GradientGroupingResult attribute) (atlas_q.vqe_qaoa.QAOA property), [1], [2]

n_qubits (atlas_q.grover.GroverConfig attribute), [1], [2], [3] (atlas_q.stabilizer_backend.StabilizerState attribute), [1], [2] n_samples (atlas_q.ir_enhanced.ShadowSamplingResult attribute) n_sites (atlas_q.mpo_ops.MPO attribute), [1], [2] name (atlas_q.noise_models.NoiseChannel attribute) NoiseChannel (class in atlas_q.noise_models) NoiseModel (class in atlas_q.noise_models) NONE (atlas_q.distributed_mps.DistMode attribute) normalize (atlas_q.tdvp.TDVPConfig attribute), [1], [2] normalize() (atlas_q.mps_pytorch.MatrixProductStatePyTorch method) num_gates_applied (atlas_q.distributed_mps.DistributedMPS attribute) num_qubits (atlas_q.noise_models.NoiseChannel attribute) num_sites (atlas_q.distributed_mps.MPSPartition attribute)

O

ObservabilityRegime (class in atlas_q.ir_enhanced.regime_analyzer) optimize() (atlas_q.vqe_qaoa.VQE method) optimize_swap_network() (atlas_q.planar_2d.SWAPRouter method)

optimizer (atlas_q.vqe_qaoa.VQEConfig attribute), [1], [2] oracle_type (atlas_q.grover.GroverConfig attribute), [1], [2], [3] OracleBase (class in atlas_q.grover), [1], [2] order (atlas_q.tdvp.TDVPConfig attribute), [1], [2]

P

p (atlas_q.vqe_qaoa.QAOA attribute) parallel_candidate_search() (atlas_q.quantum_hybrid_system.PeriodFinder static method), [1], [2] parallel_period_check() (atlas_q.quantum_hybrid_system.GPUAccelerator method), [1], [2] param_history (atlas_q.vqe_qaoa.VQE attribute) parameter_shift_gradient_ir() (in module atlas_q.ir_enhanced) partition (atlas_q.distributed_mps.DistributedMPS attribute) partition_circuit() (atlas_q.circuit_cutting.CircuitCutter method) pauli_basis (atlas_q.ir_enhanced.ShadowSamplingResult attribute) pauli_commutes() (in module atlas_q.ir_enhanced) pauli_string_to_mpo() (in module atlas_q.mpo_ops) PEPS (class in atlas_q.peps) PEPSConfig (class in atlas_q.peps) PEPSTensor (class in atlas_q.peps)

period (atlas_q.quantum_hybrid_system.PeriodResult attribute), [1], [2] PeriodFinder (class in atlas_q.quantum_hybrid_system), [1], [2] PeriodicState (class in atlas_q.quantum_hybrid_system), [1], [2] PeriodResult (class in atlas_q.quantum_hybrid_system), [1], [2] PIPELINE_PARALLEL (atlas_q.distributed_mps.DistMode attribute) PlanarCircuitSimulator (class in atlas_q.planar_2d) plot_bond_dims() (atlas_q.diagnostics.MPSStatistics method) plot_convergence() (atlas_q.grover.GroverSearch method), [1], [2] plot_entropies() (atlas_q.diagnostics.MPSStatistics method) pollards_rho() (atlas_q.quantum_hybrid_system.PeriodFinder static method), [1], [2] predict_quantum_advantage() (in module atlas_q.ir_enhanced) prepare_hf_state() (atlas_q.vqe_qaoa.HardwareEfficientAnsatz method), [1], [2] ProductState (class in atlas_q.quantum_hybrid_system), [1], [2] promote_if_cond_gt (atlas_q.adaptive_mps.DTypePolicy attribute), [1], [2]

Q

QAOA (class in atlas_q.vqe_qaoa), [1], [2] QAOAAnsatz (class in atlas_q.vqe_qaoa), [1], [2] QAOAGroupingResult (class in atlas_q.ir_enhanced)

qft_amplitude() (atlas_q.quantum_hybrid_system.PeriodicState method), [1], [2] QuantumCircuit (class in atlas_q.quantum_hybrid_system), [1], [2] QuantumClassicalHybrid (class in atlas_q.quantum_hybrid_system), [1], [2] Qubit2D (class in atlas_q.planar_2d)

R

rank (atlas_q.distributed_mps.DistributedMPS attribute) rebalance_partitions() (atlas_q.distributed_mps.DistributedMPS method) recommended_representation (atlas_q.ir_enhanced.regime_analyzer.RegimeAnalysis attribute) record() (atlas_q.diagnostics.MPSStatistics method), [1], [2], [3] regime (atlas_q.ir_enhanced.regime_analyzer.RegimeAnalysis attribute) RegimeAnalysis (class in atlas_q.ir_enhanced.regime_analyzer) representation_cost (atlas_q.ir_enhanced.regime_analyzer.RegimeAnalysis attribute) RepresentationType (class in atlas_q.ir_enhanced.regime_analyzer) reset() (atlas_q.diagnostics.MPSStatistics method), [1], [2], [3] reset_stats() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] right_boundary (atlas_q.distributed_mps.MPSPartition attribute) right_envs (atlas_q.tdvp.TDVP1Site attribute) robust_qr() (in module atlas_q.linalg_robust), [1], [2] robust_svd() (in module atlas_q.linalg_robust), [1], [2] route_gate() (atlas_q.planar_2d.SWAPRouter method)

row (atlas_q.peps.PEPSTensor attribute) rows (atlas_q.peps.PEPS attribute) run() (atlas_q.grover.GroverSearch method), [1], [2] (atlas_q.tdvp.TDVP1Site method), [1], [2], [3] (atlas_q.tdvp.TDVP2Site method), [1], [2], [3] (atlas_q.vqe_qaoa.QAOA method), [1], [2] (atlas_q.vqe_qaoa.VQE method), [1], [2] run_circuit() (atlas_q.planar_2d.PlanarCircuitSimulator method) run_comprehensive_demo() (in module atlas_q.quantum_hybrid_system) run_tdvp() (in module atlas_q.tdvp), [1] rx() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] (atlas_q.quantum_hybrid_system.QuantumCircuit method), [1], [2] ry() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] (atlas_q.quantum_hybrid_system.QuantumCircuit method), [1], [2] rz() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] (atlas_q.quantum_hybrid_system.QuantumCircuit method), [1], [2]

S

s() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] (atlas_q.stabilizer_backend.HybridSimulator method), [1], [2] (atlas_q.stabilizer_backend.StabilizerSimulator method), [1], [2] s_dag() (atlas_q.stabilizer_backend.StabilizerSimulator method), [1], [2] sample() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] sample_qft_measurement() (atlas_q.quantum_hybrid_system.PeriodicState method), [1], [2] scatter_state() (atlas_q.distributed_mps.DistributedMPS method) sdg() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] set_seed() (atlas_q.noise_models.NoiseModel method) ShadowSamplingResult (class in atlas_q.ir_enhanced) shots_per_group (atlas_q.ir_enhanced.GradientGroupingResult attribute) (atlas_q.ir_enhanced.GroupingResult attribute), [1] (atlas_q.ir_enhanced.QAOAGroupingResult attribute) (atlas_q.ir_enhanced.TDVPObservableGroupingResult attribute) should_use_ir_grouping() (in module atlas_q.ir_enhanced) SIMPLE_UPDATE (atlas_q.peps.ContractionStrategy attribute) simulate_cut_circuit() (atlas_q.circuit_cutting.CircuitCutter method) smart_factorization() (atlas_q.quantum_hybrid_system.PeriodFinder static method), [1], [2] SnakeMapper (class in atlas_q.planar_2d) snapshot() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] spectral_coherence (atlas_q.ir_enhanced.SpectralLiftingResult attribute) spectral_gap (atlas_q.ir_enhanced.regime_analyzer.RegimeAnalysis attribute) (atlas_q.ir_enhanced.SpectralLiftingResult attribute)

spectral_gap() (in module atlas_q.diagnostics), [1], [2] spectral_grouping() (in module atlas_q.ir_enhanced) SPECTRAL_LIFTING (atlas_q.ir_enhanced.regime_analyzer.RepresentationType attribute) spectral_lifting_analysis() (in module atlas_q.ir_enhanced) spectral_lifting_from_amplitudes() (in module atlas_q.ir_enhanced) SpectralLiftingResult (class in atlas_q.ir_enhanced) SQUARE_GRID (atlas_q.planar_2d.Topology attribute) StabilizerSimulator (class in atlas_q.stabilizer_backend), [1], [2] StabilizerState (class in atlas_q.stabilizer_backend), [1], [2] stats_summary() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] step() (atlas_q.tdvp.TDVP1Site method), [1], [2], [3] (atlas_q.tdvp.TDVP2Site method), [1], [2], [3] structure_indices (atlas_q.ir_enhanced.SpectralLiftingResult attribute) structure_observable (atlas_q.ir_enhanced.regime_analyzer.RegimeAnalysis attribute) sum_local_operators() (atlas_q.mpo_ops.MPOBuilder static method), [1], [2] summary() (atlas_q.diagnostics.MPSStatistics method), [1], [2], [3] svd() (atlas_q.cuquantum_backend.CuQuantumBackend method), [1], [2] swap() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] (atlas_q.stabilizer_backend.HybridSimulator method), [1], [2] (atlas_q.stabilizer_backend.StabilizerSimulator method), [1], [2] SWAPRouter (class in atlas_q.planar_2d) sweep_backward() (atlas_q.tdvp.TDVP1Site method), [1], [2] sweep_forward() (atlas_q.tdvp.TDVP1Site method), [1], [2] sweep_sample() (atlas_q.quantum_hybrid_system.MatrixProductState method), [1], [2]

T

t() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] (atlas_q.stabilizer_backend.HybridSimulator method), [1], [2] t_final (atlas_q.tdvp.TDVPConfig attribute), [1], [2] tableau (atlas_q.stabilizer_backend.StabilizerState attribute), [1], [2] tdg() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] TDVP1Site (class in atlas_q.tdvp), [1], [2] TDVP2Site (class in atlas_q.tdvp), [1], [2] TDVPConfig (class in atlas_q.tdvp), [1], [2] TDVPObservableGroupingResult (class in atlas_q.ir_enhanced) tensor (atlas_q.peps.PEPSTensor attribute) tensors (atlas_q.mpo_ops.MPO attribute), [1], [2] (atlas_q.mps_pytorch.MatrixProductStatePyTorch attribute) (atlas_q.peps.PEPS attribute) thermal_relaxation() (atlas_q.noise_models.NoiseModel static method) time (atlas_q.tdvp.TDVP1Site attribute) (atlas_q.tdvp.TDVP2Site attribute)

time_seconds (atlas_q.quantum_hybrid_system.PeriodResult attribute), [1], [2] to_cpu() (atlas_q.quantum_hybrid_system.GPUAccelerator method), [1], [2] to_gpu() (atlas_q.quantum_hybrid_system.GPUAccelerator method), [1], [2] to_left_canonical() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] to_mixed_canonical() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] to_mps() (atlas_q.peps.PEPS method) (atlas_q.stabilizer_backend.StabilizerSimulator method), [1], [2] to_statevector() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] (atlas_q.stabilizer_backend.StabilizerSimulator method), [1], [2] tol (atlas_q.vqe_qaoa.VQEConfig attribute), [1], [2] tomography_measurement_groups() (in module atlas_q.ir_enhanced) TomographyStrategy (class in atlas_q.ir_enhanced) Topology (class in atlas_q.planar_2d) TRANSITION (atlas_q.ir_enhanced.regime_analyzer.ObservabilityRegime attribute) TRIANGULAR (atlas_q.planar_2d.Topology attribute) truncation_errors (atlas_q.tdvp.TDVP2Site attribute)

U

use_custatevec (atlas_q.cuquantum_backend.CuQuantumConfig attribute), [1], [2], [3]

use_cutensornet (atlas_q.cuquantum_backend.CuQuantumConfig attribute), [1], [2], [3] use_gpu_optimized (atlas_q.tdvp.TDVPConfig attribute), [1], [2]

V

variance (atlas_q.ir_enhanced.regime_analyzer.RegimeAnalysis attribute) variance_reduction (atlas_q.ir_enhanced.GradientGroupingResult attribute) (atlas_q.ir_enhanced.GroupingResult attribute), [1] (atlas_q.ir_enhanced.QAOAGroupingResult attribute) (atlas_q.ir_enhanced.TDVPObservableGroupingResult attribute)

verbose (atlas_q.grover.GroverConfig attribute), [1], [2], [3] VQE (class in atlas_q.vqe_qaoa), [1], [2] VQEConfig (class in atlas_q.vqe_qaoa), [1], [2]

W

warning (atlas_q.ir_enhanced.regime_analyzer.RegimeAnalysis attribute)

workspace_size (atlas_q.cuquantum_backend.CuQuantumConfig attribute), [1], [2], [3] world_size (atlas_q.distributed_mps.DistributedMPS attribute)

X

x() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] (atlas_q.quantum_hybrid_system.QuantumCircuit method), [1], [2] (atlas_q.stabilizer_backend.HybridSimulator method), [1], [2] (atlas_q.stabilizer_backend.StabilizerSimulator method), [1], [2]

xy_hamiltonian() (atlas_q.mpo_ops.MPOBuilder static method)

Y

y() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] (atlas_q.quantum_hybrid_system.QuantumCircuit method), [1], [2] (atlas_q.stabilizer_backend.StabilizerSimulator method), [1], [2]

Z

z() (atlas_q.adaptive_mps.AdaptiveMPS method), [1], [2] (atlas_q.quantum_hybrid_system.QuantumCircuit method), [1], [2] (atlas_q.stabilizer_backend.HybridSimulator method), [1], [2] (atlas_q.stabilizer_backend.StabilizerSimulator method), [1], [2]