Method
- Mapper
- PT
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 40
- Best energy (Ha)
- -1.91785
HF
BeyondH2 hardware VQE and fixed-parameter remeasurement · hardware · ibm_pittsburgh
Final energy-1.9099424577hartree
Shots1024
Runtime executionsingle-job
Resilience0
MappingPT
Active space2e2o
Parity mapping with full symmetry tapering · Shots and precision · Resilience settings
Execution
- Mode
- hardware
- Provider
- IBM Quantum
- Compute resource
- ibm_pittsburgh
- Resource type
- quantum processor
- Processor family
- Heron
- Processor model
- ibm_pittsburgh
- Processor revision
- 3
- Qubits
- 156
- Connectivity
- Not recorded
- Runtime execution
- single-job
- Shots
- 1024
- Precision
- 0.03125
- Resilience
- 0
- Submitted
- 2026-08-01T18:21:37+00:00
- Wall time (s)
- 725.591
Molecular system
- Charge
- 0
- Multiplicity
- 1
- Basis
- sto3g
- Active space
- 2e2o
- Active electrons
- 2
- Spatial orbitals
- 2
- Active orbital indices
- Not recorded
- Geometry units
- angstrom
Circuit
- Logical qubits
- 1
- Physical qubits
- 1
- Parameters
- 1
- Depth
- 5
- Two-qubit gates
- 0
- Hamiltonian terms
- 3
Scientific provenance
- Cohort
- primary heron
- Reference method
- CASCI
- Reference energy (Ha)
- -1.9255843603191969
- Energy convention
- Qiskit Nature active-space qubit Hamiltonian; nuclear and inactive-space constants excluded
- Absolute error (Ha)
- 0.0156419
- Signed error (Ha)
- 0.0156419
- Total QPU time (s)
- 69
- Calibration time
- 2026-08-01T17:31:23+00:00
- Mean readout error
- 0.0052490234375
- Mean two-qubit gate error
- Not recorded
Software
- Qiskit
- 1.4.3
- Qiskit Aer
- 0.17.1
- Qiskit Algorithms
- 0.3.1
- Qiskit Ibm Runtime
- 0.40.1
- Qiskit Nature
- 0.7.2
Molecular geometry (angstrom)
| Atom | x | y | z |
|---|---|---|---|
| F | 0 | 0 | 0 |
| H | 0 | 0 | 0.9338 |
Dataset publication
Associated articles
- The winner's curse in hardware VQE: drift-differenced remeasurement of finite-shot selection bias DOI 10.48550/arXiv.2609.27704 arXiv 2609.27704 published preprint
Compute access
- Fraunhofer Quantum Now and EQeS · IBM Quantum · allocation: Fraunhofer Quantum Now
Optimization trajectory
23 recorded objective evaluations. Charts use cumulative time so convergence cost remains comparable across calculations.
Download trajectory CSV · Download trajectory JSON
| Attempt | Outcome | Energy (Ha) | Elapsed (s) | Quantum (s) | Parameters |
|---|---|---|---|---|---|
| 1 | succeeded | -1.9109030879 | 31.4481 | 3 | [0.0] |
| 2 | succeeded | -0.9054791061 | 31.3379 | 3 | [1.0] |
| 3 | succeeded | -1.0689486567 | 31.0709 | 3 | [-1.0] |
| 4 | succeeded | -1.5399519561 | 31.6344 | 3 | [0.5] |
| 5 | succeeded | -1.8841609898 | 31.791 | 3 | [-0.25] |
| 6 | succeeded | -1.8794656562 | 30.9399 | 3 | [0.1] |
| 7 | succeeded | -1.9054372871 | 31.377 | 3 | [-0.10000000000000002] |
| 8 | succeeded | -1.8945624716 | 31.1928 | 3 | [0.05000000000000001] |
| 9 | succeeded | -1.9107359869 | 31.2048 | 3 | [-0.0125] |
| 10 | succeeded | -1.8882759755 | 31.4301 | 3 | [0.025000000000000005] |
| 11 | succeeded | -1.9111064105 | 31.4463 | 3 | [-0.010000000000000002] |
| 12 | succeeded | -1.9164413318 | 31.3658 | 3 | [-0.020000000000000004] |
| 13 | succeeded | -1.9116620460 | 31.4247 | 3 | [-0.04000000000000001] |
| 14 | succeeded | -1.9100478215 | 31.2941 | 3 | [-0.010000000000000002] |
| 15 | succeeded | -1.9044840619 | 31.0295 | 3 | [-0.025000000000000005] |
| 16 | succeeded | -1.9150304299 | 31.1189 | 3 | [-0.0175] |
| 17 | succeeded | -1.9052249092 | 31.2016 | 3 | [-0.021000000000000005] |
| 18 | succeeded | -1.9000570890 | 31.2116 | 3 | [-0.019000000000000003] |
| 19 | succeeded | -1.9178522337 | 31.3263 | 3 | [-0.020500000000000004] |
| 20 | succeeded | -1.9120760961 | 31.4393 | 3 | [-0.021000000000000005] |
| 21 | succeeded | -1.9063707512 | 30.9832 | 3 | [-0.020250000000000004] |
| 22 | succeeded | -1.9101803514 | 31.6402 | 3 | [-0.020600000000000004] |
| 23 | succeeded | -1.9099424577 | 31.138 | 3 | [-0.020400000000000005] |
Independent fixed-parameter remeasurements
These measurements reevaluate saved parameter vectors without running the optimizer. They are kept separate from the optimization trajectory.
| Vector | Epoch | Shots | Resilience | Measurements | Mean energy (Ha) | Minimum (Ha) | Maximum (Ha) | Allocated QPU time (s) |
|---|---|---|---|---|---|---|---|---|
| theta_best | EPOCH-0D3257EA32142E89 | 1024 | 0 | 10 | -1.9140674934 | -1.9196862411 | -1.9074820221 | 5.625 |
| theta_best | EPOCH-2B4918A2E64142FB | 1024 | 0 | 7 | -1.9065499664 | -1.9157712771 | -1.8992726152 | 6.125 |
| theta_best | EPOCH-5882C2993A675671 | 1024 | 0 | 3 | -1.9136546492 | -1.9198714529 | -1.9089546613 | 2.625 |
| theta_best | EPOCH-DE16026B7C747E84 | 1024 | 1 | 3 | -1.9275605683 | -1.9297575123 | -1.9258883571 | 6 |
| theta_best | EPOCH-EB7658141BD7F934 | 1024 | 2 | 3 | -1.9273864045 | -1.9329488469 | -1.9212781990 | 9.375 |
| theta_final | EPOCH-0D3257EA32142E89 | 1024 | 0 | 10 | -1.9150144602 | -1.9202509319 | -1.9074202849 | 5.625 |
| theta_final | EPOCH-2B4918A2E64142FB | 1024 | 0 | 7 | -1.9099248185 | -1.9142369007 | -1.9018474699 | 6.125 |
| theta_final | EPOCH-5882C2993A675671 | 1024 | 0 | 3 | -1.9061624920 | -1.9101894068 | -1.9036814773 | 2.625 |
| theta_final | EPOCH-DE16026B7C747E84 | 1024 | 1 | 3 | -1.9264113756 | -1.9301271088 | -1.9224986452 | 6 |
| theta_final | EPOCH-EB7658141BD7F934 | 1024 | 2 | 3 | -1.9295292428 | -1.9326816482 | -1.9268446754 | 9.375 |
Means below combine the displayed measurements descriptively. Inspect epochs and replicates in the download before drawing statistical conclusions.