Method
- Mapper
- JW
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 30
- Best energy (Ha)
- -0.974925
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_brussels
Final energy-0.9749245923hartree
Shots4096
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
- 4096
- Precision
- 0.015625
- Resilience
- 1
- Submitted
- 2026-03-02T23:12:36+01:00
- Wall time (s)
- 592
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)
- 0.88235
- Signed error (Ha)
- 0.88235
- Total QPU time (s)
- 433
- 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
26 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 | -0.8061909236 | 21.6618 | 16 | — |
| 2 | succeeded | -0.8328495212 | 22.1401 | 16 | — |
| 3 | succeeded | -0.9028877378 | 21.9124 | 16 | — |
| 4 | succeeded | -0.9410020395 | 22.4753 | 16 | — |
| 5 | succeeded | -0.9246461199 | 22.2522 | 16 | — |
| 6 | succeeded | -0.9607494023 | 24.4418 | 17 | — |
| 7 | succeeded | -0.8435037598 | 27.1484 | 21 | — |
| 8 | succeeded | -0.9369265382 | 22.1686 | 17 | — |
| 9 | succeeded | -0.9489912973 | 21.764 | 16 | — |
| 10 | succeeded | -0.9749245923 | 22.3893 | 16 | — |
| 11 | succeeded | -0.9261440454 | 22.784 | 16 | — |
| 12 | succeeded | -0.9437732549 | 22.1264 | 16 | — |
| 13 | succeeded | -0.9284059857 | 22.5499 | 16 | — |
| 14 | succeeded | -0.9598329808 | 21.6509 | 16 | — |
| 15 | succeeded | -0.9419510582 | 25.9681 | 20 | — |
| 16 | succeeded | -0.9523614964 | 22.1712 | 16 | — |
| 17 | succeeded | -0.9370756473 | 21.7198 | 16 | — |
| 18 | succeeded | -0.9388614323 | 22.5976 | 16 | — |
| 19 | succeeded | -0.9340324728 | 21.5885 | 16 | — |
| 20 | succeeded | -0.9571471043 | 21.5056 | 16 | — |
| 21 | succeeded | -0.9286665445 | 21.5488 | 16 | — |
| 22 | succeeded | -0.9423016650 | 21.7151 | 16 | — |
| 23 | succeeded | -0.9400391952 | 28.7271 | 22 | — |
| 24 | succeeded | -0.9464502890 | 21.2921 | 16 | — |
| 25 | succeeded | -0.9488866310 | 21.308 | 16 | — |
| 26 | succeeded | -0.9395967818 | 22.7317 | 16 | — |