Method
- Mapper
- JW
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 30
- Best energy (Ha)
- -0.976849
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_brussels
Final energy-0.9768492832hartree
Shots1024
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
- 1024
- Precision
- 0.03125
- Resilience
- 1
- Submitted
- 2026-03-02T22:54:45+01:00
- Wall time (s)
- 599
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)
- 0.880426
- Signed error (Ha)
- 0.880426
- Total QPU time (s)
- 394
- 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
28 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 | -0.8245539743 | 22.4242 | 17 | — |
| 2 | succeeded | -0.8450589288 | 26.5963 | 14 | — |
| 3 | succeeded | -0.9090903255 | 16.2843 | 11 | — |
| 4 | succeeded | -0.8958812306 | 21.5698 | 12 | — |
| 5 | succeeded | -0.8330344294 | 16.5302 | 11 | — |
| 6 | succeeded | -0.9515707438 | 21.5094 | 12 | — |
| 7 | succeeded | -0.9520239509 | 16.392 | 11 | — |
| 8 | succeeded | -0.9357246728 | 16.477 | 11 | — |
| 9 | succeeded | -0.9360079395 | 22.7109 | 13 | — |
| 10 | succeeded | -0.9321419690 | 16.943 | 12 | — |
| 11 | succeeded | -0.9414496141 | 25.5056 | 13 | — |
| 12 | succeeded | -0.9535147501 | 22.2689 | 17 | — |
| 13 | succeeded | -0.9441331794 | 42.3622 | 19 | — |
| 14 | succeeded | -0.9448271606 | 21.3212 | 15 | — |
| 15 | succeeded | -0.9036774344 | 23.6371 | 17 | — |
| 16 | succeeded | -0.9567270361 | 24.5149 | 18 | — |
| 17 | succeeded | -0.9423290438 | 23.7824 | 18 | — |
| 18 | succeeded | -0.8648298131 | 25.3222 | 19 | — |
| 19 | succeeded | -0.9309036109 | 27.6708 | 18 | — |
| 20 | succeeded | -0.9531461276 | 20.872 | 16 | — |
| 21 | succeeded | -0.9761455788 | 23.5909 | 18 | — |
| 22 | succeeded | -0.9522729328 | 18.9618 | 13 | — |
| 23 | succeeded | -0.9768492832 | 18.7411 | 14 | — |
| 24 | succeeded | -0.9735871353 | 16.1544 | 11 | — |
| 25 | succeeded | -0.9310709087 | 17.1614 | 11 | — |
| 26 | succeeded | -0.9534382216 | 16.2938 | 11 | — |
| 27 | succeeded | -0.9613971827 | 16.6139 | 11 | — |
| 28 | succeeded | -0.9516274290 | 17.1416 | 11 | — |