Method
- Mapper
- PT
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 40
- Best energy (Ha)
- -1.85705
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_kingston
Final energy-1.8570522103hartree
Shots256
Runtime executionsession
Resilience0
MappingPT
Active space2e,2o
Parity mapping with full symmetry tapering · Shots and precision · Resilience settings
Execution
- Mode
- hardware
- Provider
- IBM Quantum
- Compute resource
- ibm_kingston
- Resource type
- ibm quantum hardware
- Processor family
- Heron r2
- Processor model
- Not recorded
- Processor revision
- Not recorded
- Qubits
- Not recorded
- Connectivity
- Not recorded
- Runtime execution
- session
- Shots
- 256
- Precision
- 0.0625
- Resilience
- 0
- Submitted
- 2026-03-31T23:14:33+02:00
- Wall time (s)
- 215
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
- 1
- Physical qubits
- Not recorded
- Parameters
- Not recorded
- Depth
- 1
- Two-qubit gates
- 0
- 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)
- 0.00022282
- Signed error (Ha)
- 0.00022282
- Total QPU time (s)
- 21
- 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
21 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 | -1.8050292772 | 192.874 | 1 | — |
| 2 | succeeded | -0.5283653227 | 9.63362 | 1 | — |
| 3 | succeeded | -0.8478219723 | 8.44793 | 1 | — |
| 4 | succeeded | -1.3519383114 | 8.62864 | 1 | — |
| 5 | succeeded | -1.8141001654 | 8.96114 | 1 | — |
| 6 | succeeded | -1.7779295650 | 10.0958 | 1 | — |
| 7 | succeeded | -1.8570522103 | 9.31478 | 1 | — |
| 8 | succeeded | -1.7925850440 | 9.17748 | 1 | — |
| 9 | succeeded | -1.8183407404 | 9.0811 | 1 | — |
| 10 | succeeded | -1.7951432908 | 8.61453 | 1 | — |
| 11 | succeeded | -1.8078737044 | 10.4622 | 1 | — |
| 12 | succeeded | -1.8036244408 | 10.9697 | 1 | — |
| 13 | succeeded | -1.8307589076 | 10.5033 | 1 | — |
| 14 | succeeded | -1.8429169603 | 10.9698 | 1 | — |
| 15 | succeeded | -1.8429169603 | 9.22112 | 1 | — |
| 16 | succeeded | -1.8539389798 | 8.69224 | 1 | — |
| 17 | succeeded | -1.7745127768 | 9.75978 | 1 | — |
| 18 | succeeded | -1.8129554435 | 11.1155 | 1 | — |
| 19 | succeeded | -1.7829939267 | 18.8657 | 1 | — |
| 20 | succeeded | -1.7773398268 | 9.99683 | 1 | — |
| 21 | succeeded | -1.8350081712 | 10.577 | 1 | — |