Method
- Mapper
- JW
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 30
- Best energy (Ha)
- -0.981371
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_brussels
Final energy-0.9813706812hartree
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
- 2026-02-26T23:03:47+01:00
- Wall time (s)
- 406
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)
- 0.875904
- Signed error (Ha)
- 0.875904
- Total QPU time (s)
- 270
- 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
25 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 | -0.7531010864 | 20.3956 | 14 | — |
| 2 | succeeded | -0.6882314512 | 14.7277 | 10 | — |
| 3 | succeeded | -0.6283577758 | 14.5474 | 10 | — |
| 4 | succeeded | -0.9082591136 | 15.2735 | 10 | — |
| 5 | succeeded | -0.8455639484 | 14.8979 | 10 | — |
| 6 | succeeded | -0.7821517460 | 15.1634 | 10 | — |
| 7 | succeeded | -0.8373775876 | 15.1342 | 10 | — |
| 8 | succeeded | -0.8673592782 | 15.0699 | 10 | — |
| 9 | succeeded | -0.8908290605 | 14.5784 | 10 | — |
| 10 | succeeded | -0.8573554981 | 15.4503 | 10 | — |
| 11 | succeeded | -0.8631190688 | 14.44 | 10 | — |
| 12 | succeeded | -0.7689672845 | 14.847 | 10 | — |
| 13 | succeeded | -0.8640335737 | 20.1717 | 15 | — |
| 14 | succeeded | -0.9550438198 | 17.3037 | 11 | — |
| 15 | succeeded | -0.8999754069 | 15.0518 | 10 | — |
| 16 | succeeded | -0.9386855298 | 16.0749 | 10 | — |
| 17 | succeeded | -0.9315974529 | 15.6593 | 10 | — |
| 18 | succeeded | -0.8002781190 | 15.8329 | 10 | — |
| 19 | succeeded | -0.7691891346 | 15.872 | 10 | — |
| 20 | succeeded | -0.7618284266 | 15.1813 | 10 | — |
| 21 | succeeded | -0.7523549935 | 15.6681 | 10 | — |
| 22 | succeeded | -0.9684305201 | 15.0529 | 10 | — |
| 23 | succeeded | -0.9769532511 | 15.3269 | 10 | — |
| 24 | succeeded | -0.9813706812 | 17.6042 | 12 | — |
| 25 | succeeded | -0.8611768998 | 24.708 | 18 | — |