Method
- Mapper
- JW
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 30
- Best energy (Ha)
- -0.883965
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_brussels
Final energy-0.8839645467hartree
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
- 2026-02-26T23:36:28+01:00
- Wall time (s)
- 593
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)
- 0.97331
- Signed error (Ha)
- 0.97331
- Total QPU time (s)
- 434
- 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 | -0.8415275832 | 22.6262 | 16 | — |
| 2 | succeeded | -0.8475702770 | 22.529 | 16 | — |
| 3 | succeeded | -0.8336410589 | 22.2443 | 16 | — |
| 4 | succeeded | -0.8636192456 | 22.7511 | 17 | — |
| 5 | succeeded | -0.8437505657 | 27.648 | 22 | — |
| 6 | succeeded | -0.8545307946 | 22.3767 | 16 | — |
| 7 | succeeded | -0.8631555412 | 23.2599 | 16 | — |
| 8 | succeeded | -0.8592600845 | 21.2164 | 16 | — |
| 9 | succeeded | -0.8599260984 | 21.8457 | 16 | — |
| 10 | succeeded | -0.8404399329 | 22.2224 | 16 | — |
| 11 | succeeded | -0.8446481815 | 21.9081 | 16 | — |
| 12 | succeeded | -0.8394127184 | 22.9074 | 16 | — |
| 13 | succeeded | -0.8638763271 | 25.3338 | 19 | — |
| 14 | succeeded | -0.8520753533 | 21.6793 | 16 | — |
| 15 | succeeded | -0.8532042767 | 21.871 | 16 | — |
| 16 | succeeded | -0.8699175189 | 21.8975 | 16 | — |
| 17 | succeeded | -0.8839645467 | 22.6013 | 16 | — |
| 18 | succeeded | -0.8626087006 | 21.9792 | 16 | — |
| 19 | succeeded | -0.8461619683 | 22.1146 | 16 | — |
| 20 | succeeded | -0.8556394345 | 29.743 | 24 | — |
| 21 | succeeded | -0.8473320368 | 22.2933 | 16 | — |
| 22 | succeeded | -0.8482723021 | 21.9706 | 16 | — |
| 23 | succeeded | -0.8610998369 | 21.8739 | 16 | — |
| 24 | succeeded | -0.8616767817 | 21.4887 | 16 | — |
| 25 | succeeded | -0.8477516656 | 22.0852 | 16 | — |
| 26 | succeeded | -0.8751011739 | 21.5301 | 16 | — |