Method
- Mapper
- PT
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 40
- Best energy (Ha)
- -1.9245
HF
BeyondH2 hardware VQE and fixed-parameter remeasurement · hardware · ibm_pittsburgh
Final energy-1.9145727532hartree
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
- 2026-08-02T18:43:16+00:00
- Wall time (s)
- 822.456
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)
- 0.0110116
- Signed error (Ha)
- 0.0110116
- Total QPU time (s)
- 60
- Calibration time
- 2026-08-02T17:28:21+00:00
- Mean readout error
- 0.0067138671875
- 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
20 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 | -1.9083372886 | 61.9191 | 3 | [0.0] |
| 2 | succeeded | -0.9272418967 | 62.4597 | 3 | [1.0] |
| 3 | succeeded | -1.0778371736 | 31.6962 | 3 | [-1.0] |
| 4 | succeeded | -1.5400754306 | 31.499 | 3 | [0.5] |
| 5 | succeeded | -1.8679183323 | 31.4117 | 3 | [-0.25] |
| 6 | succeeded | -1.8756124295 | 31.5869 | 3 | [0.1] |
| 7 | succeeded | -1.9245017484 | 62.1522 | 3 | [-0.10000000000000002] |
| 8 | succeeded | -1.8943188233 | 62.1458 | 3 | [-0.20000000000000004] |
| 9 | succeeded | -1.9081175056 | 31.9575 | 3 | [-0.05000000000000002] |
| 10 | succeeded | -1.9162396596 | 31.704 | 3 | [-0.12500000000000003] |
| 11 | succeeded | -1.9214947328 | 62.0764 | 3 | [-0.09000000000000002] |
| 12 | succeeded | -1.9166627651 | 31.5337 | 3 | [-0.11000000000000001] |
| 13 | succeeded | -1.9167245024 | 31.9165 | 3 | [-0.09500000000000001] |
| 14 | succeeded | -1.9237082193 | 62.2219 | 3 | [-0.10250000000000002] |
| 15 | succeeded | -1.9139463251 | 31.6023 | 3 | [-0.09950000000000002] |
| 16 | succeeded | -1.9187437216 | 31.742 | 3 | [-0.10100000000000002] |
| 17 | succeeded | -1.9108339457 | 31.8456 | 3 | [-0.09950000000000002] |
| 18 | succeeded | -1.9216708892 | 31.6498 | 3 | [-0.10025000000000002] |
| 19 | succeeded | -1.9175180316 | 31.6284 | 3 | [-0.09990000000000002] |
| 20 | succeeded | -1.9145727532 | 31.7705 | 3 | [-0.10010000000000002] |
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 | -1.9090949307 | -1.9178176625 | -1.8953757620 | 5.625 |
| theta_best | EPOCH-2B4918A2E64142FB | 1024 | 0 | 7 | -1.9059460015 | -1.9152337524 | -1.8969101384 | 6.125 |
| theta_best | EPOCH-5882C2993A675671 | 1024 | 0 | 3 | -1.9022626203 | -1.9052957018 | -1.8999788913 | 2.625 |
| theta_best | EPOCH-DE16026B7C747E84 | 1024 | 1 | 3 | -1.9186987843 | -1.9213198905 | -1.9154989943 | 6 |
| theta_best | EPOCH-EB7658141BD7F934 | 1024 | 2 | 3 | -1.9212771131 | -1.9247075931 | -1.9190231459 | 9.375 |
| theta_final | EPOCH-0D3257EA32142E89 | 1024 | 0 | 10 | -1.9038745936 | -1.9129058468 | -1.8884974089 | 5.625 |
| theta_final | EPOCH-2B4918A2E64142FB | 1024 | 0 | 7 | -1.9018481772 | -1.9077034555 | -1.8973332439 | 6.125 |
| theta_final | EPOCH-5882C2993A675671 | 1024 | 0 | 3 | -1.9027008181 | -1.9062398717 | -1.8999788913 | 2.625 |
| theta_final | EPOCH-DE16026B7C747E84 | 1024 | 1 | 3 | -1.9233340666 | -1.9277053089 | -1.9181546007 | 6 |
| theta_final | EPOCH-EB7658141BD7F934 | 1024 | 2 | 3 | -1.9100533259 | -1.9160179268 | -1.9044371967 | 9.375 |
Means below combine the displayed measurements descriptively. Inspect epochs and replicates in the download before drawing statistical conclusions.