Method
- Mapper
- PT
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 40
- Best energy (Ha)
- -1.03663
LiH
BeyondH2 hardware VQE and fixed-parameter remeasurement · hardware · ibm_pittsburgh
Final energy-1.0330847547hartree
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
- 2026-07-31T01:08:22+00:00
- Wall time (s)
- 54754.3
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
- 2
- Physical qubits
- 2
- Parameters
- 1
- Depth
- 43
- Two-qubit gates
- 4
- Hamiltonian terms
- 9
Scientific provenance
- Cohort
- primary heron
- Reference method
- CASCI
- Reference energy (Ha)
- -1.0532229194242344
- Energy convention
- Qiskit Nature active-space qubit Hamiltonian; nuclear and inactive-space constants excluded
- Absolute error (Ha)
- 0.0201382
- Signed error (Ha)
- 0.0201382
- Total QPU time (s)
- 69
- Calibration time
- 2026-07-30T18:47:42+00:00
- Mean readout error
- 0.0069580078125
- Mean two-qubit gate error
- 0.002264500974607342
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 |
|---|---|---|---|
| Li | 0 | 0 | 0 |
| H | 0 | 0 | 1.6204 |
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 | -1.0310760158 | 93.8591 | 3 | [0.0] |
| 2 | succeeded | -0.6440017767 | 215.241 | 3 | [1.0] |
| 3 | succeeded | -0.5916034987 | 214.714 | 3 | [-0.9999999999999999] |
| 4 | succeeded | -0.9077929564 | 154.431 | 3 | [0.5] |
| 5 | succeeded | -0.9887670600 | 367.36 | 3 | [-0.25000000000000006] |
| 6 | succeeded | -1.0262042924 | 153.656 | 3 | [0.10000000000000002] |
| 7 | succeeded | -1.0174840552 | 489.124 | 3 | [-0.10000000000000002] |
| 8 | succeeded | -1.0251058033 | 854.079 | 3 | [0.05] |
| 9 | succeeded | -1.0248425792 | 3387.49 | 3 | [-0.025000000000000005] |
| 10 | succeeded | -1.0318716377 | 2438.51 | 3 | [0.010000000000000002] |
| 11 | succeeded | -1.0329745462 | 2305.34 | 3 | [0.020000000000000004] |
| 12 | succeeded | -1.0145832249 | 3279.69 | 3 | [0.04000000000000001] |
| 13 | succeeded | -1.0269595278 | 2094.68 | 3 | [0.010000000000000002] |
| 14 | succeeded | -1.0333796026 | 3458.28 | 3 | [0.025000000000000005] |
| 15 | succeeded | -1.0278101174 | 1792.21 | 3 | [0.030000000000000006] |
| 16 | succeeded | -1.0302830713 | 1184.52 | 3 | [0.022500000000000006] |
| 17 | succeeded | -1.0366331430 | 3523 | 3 | [0.026000000000000006] |
| 18 | succeeded | -1.0245711121 | 2609.65 | 3 | [0.028000000000000004] |
| 19 | succeeded | -1.0144363346 | 3248.66 | 3 | [0.025000000000000005] |
| 20 | succeeded | -1.0327882049 | 20138.7 | 3 | [0.026500000000000006] |
| 21 | succeeded | -1.0349213821 | 184.007 | 3 | [0.025750000000000006] |
| 22 | succeeded | -1.0345785323 | 1766.26 | 3 | [0.026100000000000005] |
| 23 | succeeded | -1.0330847547 | 792.161 | 3 | [0.025900000000000006] |
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 | -1.0419354498 | -1.0440721032 | -1.0385648331 | 11.125 |
| theta_best | EPOCH-2B4918A2E64142FB | 1024 | 0 | 7 | -1.0425642284 | -1.0462877887 | -1.0393968520 | 9.625 |
| theta_best | EPOCH-5882C2993A675671 | 1024 | 0 | 3 | -1.0420166927 | -1.0433911779 | -1.0407555445 | 4.125 |
| theta_best | EPOCH-DE16026B7C747E84 | 1024 | 1 | 3 | -1.0416542297 | -1.0451809958 | -1.0382666448 | 7.5 |
| theta_best | EPOCH-EB7658141BD7F934 | 1024 | 2 | 3 | -1.0451903267 | -1.0476202796 | -1.0439166900 | 15 |
| theta_final | EPOCH-0D3257EA32142E89 | 1024 | 0 | 10 | -1.0410611903 | -1.0437813357 | -1.0391790500 | 11.125 |
| theta_final | EPOCH-2B4918A2E64142FB | 1024 | 0 | 7 | -1.0423696160 | -1.0458531915 | -1.0392029082 | 9.625 |
| theta_final | EPOCH-5882C2993A675671 | 1024 | 0 | 3 | -1.0436413566 | -1.0447403565 | -1.0422127523 | 4.125 |
| theta_final | EPOCH-DE16026B7C747E84 | 1024 | 1 | 3 | -1.0417187705 | -1.0431964436 | -1.0399477854 | 7.5 |
| theta_final | EPOCH-EB7658141BD7F934 | 1024 | 2 | 3 | -1.0461647723 | -1.0492480589 | -1.0427560081 | 15 |
Means below combine the displayed measurements descriptively. Inspect epochs and replicates in the download before drawing statistical conclusions.