Benchmark Results

This page is a curated index for result-bearing benchmark notebooks. It points to the notebooks that currently contain decision-ready tables, figures, or diagnostics. Raw files under results/ and images/ are ignored generated artifacts and should not be treated as published benchmark data.

Published Result Surfaces

Question

Notebook

Primary outputs

Which method should I use on H2?

comparisons/H2/Cross_Method_Comparison.ipynb

Cross-method energy, error, runtime, and cache diagnostics.

How reproducible are H2 runs?

comparisons/H2/Reproducibility_Benchmark.ipynb

Seed spread, noisy/noiseless variation, and cache timing.

Which method should I use on LiH?

comparisons/LiH/Cross_Method_Comparison.ipynb

Active-space LiH VQE, VarQITE, and QPE comparison.

How reproducible are LiH runs?

comparisons/LiH/Reproducibility_Benchmark.ipynb

Per-seed spread, noisy/noiseless variation, and cache timing.

Are QPE defaults adequate for H2?

qpe/H2/Calibration_Decision_Map.ipynb

Ranked QPE configurations, branch diagnostics, and default-adequacy checks.

How should QPE be calibrated?

qpe/H2/Calibration_Sweep.ipynb

Ancilla/evolution-time/shot sweep outputs.

What are reasonable package defaults?

defaults/VQE_Default_Calibration.ipynb

VQE default calibration table.

What are reasonable VarQITE defaults?

defaults/VarQITE_Default_Calibration.ipynb

VarQITE default calibration table.

What are reasonable QPE defaults?

defaults/QPE_Default_Calibration.ipynb

QPE default calibration table.

Which low-qubit molecules are ready?

comparisons/multi_molecule/Low_Qubit_VQE_Benchmark.ipynb

Low-qubit VQE comparison plot and table.

How does the registry scale?

comparisons/multi_molecule/Scaling_Benchmark.ipynb

Runtime, qubit-count, error, and proxy-size tables.

Which atom/cation pairs support ionization studies?

comparisons/multi_molecule/Atomic_Ionization_Energy_Benchmark.ipynb

Ionization energy panel in Hartree and eV.

How do model Hamiltonians behave?

non_molecule/TFIM_Cross_Method_Benchmark.ipynb

TFIM exact/VQE/VarQITE/QPE comparison.

How do XXZ chains behave?

non_molecule/Heisenberg_Chain_Benchmark.ipynb

Heisenberg-chain anisotropy sweep.

How do SSH chains behave?

non_molecule/SSH_Chain_Benchmark.ipynb

SSH dimerization sweep.

How does VarQRTE compare with exact evolution?

qite/H2/Exact_QRTE_Benchmark.ipynb

Real-time evolution comparison against exact dynamics.

Which VQE ansatz works for H2?

vqe/H2/Ansatz_Comparison.ipynb

Ansatz convergence comparison.

Which mapping works for H2?

vqe/H2/Mapping_Comparison.ipynb

Mapping comparison plot and table.

How robust is VQE under noise?

vqe/H2/Noise_Robustness_Benchmark.ipynb

Cross-channel noise sensitivity ranking.

How do excited-state solvers compare?

vqe/H2/SSVQE_Comparisons.ipynb and vqe/H2/VQD_Comparisons.ipynb

Excited-state variational solver comparisons.

How do H3+ ansatzes compare?

vqe/H3plus/Ansatz_Comparison_Noiseless.ipynb and vqe/H3plus/Ansatz_Comparison_Noisy.ipynb

Noiseless/noisy H3+ ansatz comparison.

Local Generated Figures

The current cleaned local image set contains only figures referenced by notebook output text:

Figure

Produced by

images/vqe/H2/ansatz_conv_Adam_s0.png

vqe/H2/Ansatz_Comparison.ipynb

images/vqe/H2/mapping_comparison_UCCSD_Adam.png

vqe/H2/Mapping_Comparison.ipynb

images/vqe/multi_molecule/low_qubit_benchmark_UCCSD_Adam_jordan_wigner_max10q.png

comparisons/multi_molecule/Low_Qubit_VQE_Benchmark.ipynb

These files are ignored by git. If a result figure should appear in the published Sphinx site, promote a curated copy into a tracked docs asset path rather than relying on images/.

Curated Figures

H2 Ansatz Comparison

Source notebook: vqe/H2/Ansatz_Comparison.ipynb

H2 Ansatz Comparison

H2 Mapping Comparison

Source notebook: vqe/H2/Mapping_Comparison.ipynb

H2 Mapping Comparison

Low-Qubit VQE Benchmark

Source notebook: comparisons/multi_molecule/Low_Qubit_VQE_Benchmark.ipynb

Low-Qubit VQE Benchmark

Curated Tables

H2 Cross-Method Runtime

Source notebook: comparisons/H2/Cross_Method_Comparison.ipynb

CSV artifact: _artifacts/tables/h2_cross_method_runtime.csv

method

elapsed_s

QPE

0.035338

VarQITE

0.035894

VQE

0.069197

LiH Problem Summary

Source notebook: comparisons/LiH/Cross_Method_Comparison.ipynb

CSV artifact: _artifacts/tables/lih_problem_summary.csv

setting

value

molecule

LiH

mapping

jordan_wigner

active_electrons

2

active_orbitals

2

num_qubits

4

hamiltonian_terms

27

exact_ground_energy

-7.862129

LiH Cross-Method Results

Source notebook: comparisons/LiH/Cross_Method_Comparison.ipynb

CSV artifact: _artifacts/tables/lih_cross_method_results.csv

method

energy

exact_ground

abs_error

runtime_s

compute_runtime_s

cache_hit

num_qubits

VarQITE

-7.862129

-7.862129

2.200000e-07

1.162672

True

4

VQE

-7.862128

-7.862129

6.200000e-07

1.195395

5.518632

True

4

QPE

-6.675884

-7.862129

1.186244e+00

1.234748

True

4

QPE H2 Best Configurations

Source notebook: qpe/H2/Calibration_Decision_Map.ipynb

CSV artifact: _artifacts/tables/qpe_h2_best_configurations.csv

ancillas

t

trotter_steps

shots

seed

energy

abs_error

best_bitstring

best_probability

oracle_any_abs_error

branch_selection_failure

dominant_bin_failure

resolution_or_alias_failure

cache_hit

2

4.0

1

0

-1.178097

0.040827

11

0.513338

0.040827

False

False

False

True

2

4.0

1

500.0

1

-1.178097

0.040827

11

0.542000

0.040827

False

False

False

True

2

4.0

1

500.0

0

-1.178097

0.040827

11

0.498000

0.040827

False

False

False

True

2

4.0

1

500.0

2

-1.178097

0.040827

11

0.494000

0.040827

False

False

False

True

2

4.0

1

1000.0

0

-1.178097

0.040827

11

0.520000

0.040827

False

False

False

True

2

4.0

1

1000.0

2

-1.178097

0.040827

11

0.516000

0.040827

False

False

False

True

2

4.0

1

2000.0

0

-1.178097

0.040827

11

0.521500

0.040827

False

False

False

True

2

4.0

1

1000.0

1

-1.178097

0.040827

11

0.518000

0.040827

False

False

False

True

2

4.0

1

2000.0

2

-1.178097

0.040827

11

0.505000

0.040827

False

False

False

True

2

4.0

1

2000.0

1

-1.178097

0.040827

11

0.512000

0.040827

False

False

False

True

QPE H2 Ranked Summary

Source notebook: qpe/H2/Calibration_Decision_Map.ipynb

CSV artifact: _artifacts/tables/qpe_h2_ranked_summary.csv

ancillas

t

trotter_steps

shots_label

mean_abs_error

std_abs_error

max_abs_error

mean_oracle_abs_error

mean_bin_width_energy_ha

branch_failure_rate

dominant_bin_failure_rate

resolution_or_alias_failure_rate

mean_compute_runtime_s

score

2

4.0

1

analytic

0.040827

0.0

0.040827

0.040827

0.392699

0.0

0.0

0.0

0.076394

0.040865

2

4.0

1

500

0.040827

0.0

0.040827

0.040827

0.392699

0.0

0.0

0.0

0.084816

0.040869

2

4.0

1

1000

0.040827

0.0

0.040827

0.040827

0.392699

0.0

0.0

0.0

0.092987

0.040874

2

4.0

1

2000

0.040827

0.0

0.040827

0.040827

0.392699

0.0

0.0

0.0

0.101829

0.040878

2

4.0

2

analytic

0.040827

0.0

0.040827

0.040827

0.392699

0.0

0.0

0.0

0.106913

0.040881

2

4.0

2

500

0.040827

0.0

0.040827

0.040827

0.392699

0.0

0.0

0.0

0.110669

0.040882

3

4.0

1

analytic

0.040827

0.0

0.040827

0.040827

0.196350

0.0

0.0

0.0

0.112833

0.040883

3

4.0

1

500

0.040827

0.0

0.040827

0.040827

0.196350

0.0

0.0

0.0

0.120086

0.040887

2

4.0

2

1000

0.040827

0.0

0.040827

0.040827

0.392699

0.0

0.0

0.0

0.126221

0.040890

2

4.0

2

2000

0.040827

0.0

0.040827

0.040827

0.392699

0.0

0.0

0.0

0.126231

0.040890

Low-Qubit VQE Summary

Source notebook: comparisons/multi_molecule/Low_Qubit_VQE_Benchmark.ipynb

CSV artifact: _artifacts/tables/low_qubit_vqe_summary.csv

molecule

num_qubits

hamiltonian_terms

exact_ground_energy

energy_mean

energy_std

abs_error_mean

abs_error_std

runtime_mean_s

runtime_std_s

parameter_count

H2

4

15

-1.137270

-1.137268

0.0

0.000002

0.0

2.941093

0.470165

3

H3+

6

62

-1.296055

-1.261729

0.0

0.034327

0.0

31.919543

3.227556

8

H4

8

185

-2.166387

-2.166291

0.0

0.000096

0.0

256.256229

51.861543

26

H2 Noise Robustness Reference

Source notebook: vqe/H2/Noise_Robustness_Benchmark.ipynb

CSV artifact: _artifacts/tables/h2_noise_reference.csv

seed

reference_energy

abs_error_to_exact

cache_hit

0

-1.137268

0.000002

True

1

-1.137268

0.000002

True

2

-1.137268

0.000002

True

3

-1.137268

0.000002

True

4

-1.137268

0.000002

True