Method
- Mapper
- JW
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 30
- Best energy (Ha)
- -0.943791
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_brussels
Final energy-0.9437907011hartree
Shots64
Runtime executionsingle-job
Resilience1
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
- 64
- Precision
- 0.125
- Resilience
- 1
- Submitted
- 2026-03-02T22:33:30+01:00
- Wall time (s)
- 484
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)
- 0.913484
- Signed error (Ha)
- 0.913484
- Total QPU time (s)
- 242
- 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
24 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 | -0.7461821138 | 14.5409 | 10 | — |
| 2 | succeeded | -0.6619059398 | 57.8155 | 10 | — |
| 3 | succeeded | -0.7017746867 | 20.7872 | 10 | — |
| 4 | succeeded | -0.8830638360 | 14.9239 | 10 | — |
| 5 | succeeded | -0.8180614535 | 15.4274 | 10 | — |
| 6 | succeeded | -0.9035178365 | 15.6428 | 10 | — |
| 7 | succeeded | -0.8207294286 | 15.4253 | 10 | — |
| 8 | succeeded | -0.8776116881 | 16.4428 | 11 | — |
| 9 | succeeded | -0.7908679210 | 14.6251 | 10 | — |
| 10 | succeeded | -0.8315391758 | 14.9784 | 10 | — |
| 11 | succeeded | -0.8578645660 | 14.9768 | 10 | — |
| 12 | succeeded | -0.8428480685 | 14.656 | 10 | — |
| 13 | succeeded | -0.8786572542 | 15.2783 | 10 | — |
| 14 | succeeded | -0.9111867299 | 14.6038 | 10 | — |
| 15 | succeeded | -0.8461514930 | 83.5611 | 10 | — |
| 16 | succeeded | -0.9324750436 | 16.0243 | 11 | — |
| 17 | succeeded | -0.7017534896 | 15.1137 | 10 | — |
| 18 | succeeded | -0.9437907011 | 15.4714 | 10 | — |
| 19 | succeeded | -0.8780678142 | 15.1713 | 10 | — |
| 20 | succeeded | -0.8535930052 | 15.3306 | 10 | — |
| 21 | succeeded | -0.6764466069 | 14.8889 | 10 | — |
| 22 | succeeded | -0.8541567730 | 15.3749 | 10 | — |
| 23 | succeeded | -0.8273955172 | 15.1457 | 10 | — |
| 24 | succeeded | -0.8798680356 | 15.4552 | 10 | — |