Method
- Mapper
- PT
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 30
- Best energy (Ha)
- -1.85659
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_kingston
Final energy-1.8565888094hartree
Shots1024
Runtime executionsession
Resilience2
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
- 1024
- Precision
- 0.03125
- Resilience
- 2
- Submitted
- 2026-02-24T13:00:16+01:00
- Wall time (s)
- 427
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)
- 0.000686221
- Signed error (Ha)
- 0.000686221
- Total QPU time (s)
- 220
- 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
20 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 | -1.8352261669 | 19477.9 | 11 | — |
| 2 | succeeded | -0.5237478971 | 21.5031 | 11 | — |
| 3 | succeeded | -0.8524667133 | 23.2441 | 11 | — |
| 4 | succeeded | -1.2765740368 | 20.3104 | 11 | — |
| 5 | succeeded | -1.8524783492 | 20.2011 | 11 | — |
| 6 | succeeded | -1.7900777471 | 21.3282 | 11 | — |
| 7 | succeeded | -1.8345296854 | 20.7084 | 11 | — |
| 8 | succeeded | -1.8147253649 | 20.748 | 11 | — |
| 9 | succeeded | -1.8438055886 | 19.9092 | 11 | — |
| 10 | succeeded | -1.8155145595 | 20.2291 | 11 | — |
| 11 | succeeded | -1.8565888094 | 20.3598 | 11 | — |
| 12 | succeeded | -1.8279777310 | 19.6084 | 11 | — |
| 13 | succeeded | -1.8213955320 | 20.89 | 11 | — |
| 14 | succeeded | -1.8446878009 | 19.4494 | 11 | — |
| 15 | succeeded | -1.8219724114 | 20.2316 | 11 | — |
| 16 | succeeded | -1.8322514877 | 20.8902 | 11 | — |
| 17 | succeeded | -1.8387992455 | 20.0808 | 11 | — |
| 18 | succeeded | -1.8480729926 | 19.1472 | 11 | — |
| 19 | succeeded | -1.8397376361 | 19.6154 | 11 | — |
| 20 | succeeded | -1.8467738593 | 19.8652 | 11 | — |