Method
- Mapper
- JW
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 30
- Best energy (Ha)
- -1.11315
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_brussels
Final energy-1.1131455241hartree
Shots16
Runtime executionsingle-job
Resilience0
MappingJW
Active space2e,2o
Jordan-Wigner mapping · Shots and precision · Resilience settings
Execution
- Mode
- hardware
- Provider
- IBM Quantum
- Compute resource
- ibm_brussels
- Resource type
- ibm quantum hardware
- Processor family
- Eagle r3
- Processor model
- Not recorded
- Processor revision
- Not recorded
- Qubits
- Not recorded
- Connectivity
- Not recorded
- Runtime execution
- single-job
- Shots
- 16
- Precision
- 0.25
- Resilience
- 0
- Submitted
- 2026-02-24T23:05:40+01:00
- Wall time (s)
- 110
Molecular system
- Charge
- 0
- Multiplicity
- 1
- Basis
- STO-3G
- Active space
- 2e,2o
- Active electrons
- 2
- Spatial orbitals
- 2
- Active orbital indices
- Not recorded
- Geometry units
- angstrom
Circuit
- Logical qubits
- 4
- Physical qubits
- Not recorded
- Parameters
- Not recorded
- Depth
- 96
- Two-qubit gates
- 48
- Hamiltonian terms
- Not recorded
Scientific provenance
- Cohort
- published h2
- Reference method
- exact diagonalization
- Reference energy (Ha)
- -1.85728
- Energy convention
- Published H2 benchmark electronic-energy convention
- Absolute error (Ha)
- 0.74413
- Signed error (Ha)
- 0.74413
- Total QPU time (s)
- 23
- Calibration time
- Not recorded
- Mean readout error
- Not recorded
- 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
- Qiskit Nature Pyscf
- 0.4.0
Molecular geometry (angstrom)
| Atom | x | y | z |
|---|---|---|---|
| H | 0 | 0 | 0 |
| H | 0 | 0 | 0.735 |
Dataset publication
Associated articles
- Accuracy-Cost Trade-offs for Reference VQE Calculations of H2 on IBM Quantum Hardware submitted to Quantum Science and Technology
- Accuracy-Cost Trade-offs for Reference VQE Calculations of H2 on IBM Quantum Hardware DOI 10.48550/arXiv.2604.11478 arXiv 2604.11478 published preprint
Compute access
- Fraunhofer Quantum Now and EQeS · IBM Quantum · allocation: Fraunhofer Quantum Now
Optimization trajectory
22 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 | -0.8859478326 | 7.37317 | 2 | — |
| 2 | succeeded | -0.9905343731 | 6.34295 | 1 | — |
| 3 | succeeded | -0.9546350359 | 5.66145 | 1 | — |
| 4 | succeeded | -1.1131455241 | 4.97164 | 1 | — |
| 5 | succeeded | -0.8150995048 | 5.10109 | 1 | — |
| 6 | succeeded | -0.9611221662 | 4.81869 | 1 | — |
| 7 | succeeded | -1.1129463002 | 4.73496 | 1 | — |
| 8 | succeeded | -0.9754716239 | 4.27724 | 1 | — |
| 9 | succeeded | -0.8940106670 | 4.53995 | 1 | — |
| 10 | succeeded | -0.7736847826 | 4.63338 | 1 | — |
| 11 | succeeded | -0.8369409818 | 4.85901 | 1 | — |
| 12 | succeeded | -0.9406363728 | 4.66958 | 1 | — |
| 13 | succeeded | -0.7159421155 | 4.57335 | 1 | — |
| 14 | succeeded | -0.8827659627 | 4.76259 | 1 | — |
| 15 | succeeded | -0.9311391117 | 4.87524 | 1 | — |
| 16 | succeeded | -0.7336647980 | 4.8456 | 1 | — |
| 17 | succeeded | -0.7071263331 | 4.8939 | 1 | — |
| 18 | succeeded | -0.7826338897 | 4.78628 | 1 | — |
| 19 | succeeded | -0.7140083293 | 5.06748 | 1 | — |
| 20 | succeeded | -0.7169078290 | 5.11468 | 1 | — |
| 21 | succeeded | -0.8071461230 | 4.79737 | 1 | — |
| 22 | succeeded | -0.9438201072 | 4.36324 | 1 | — |