Method
- Mapper
- PT
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 30
- Best energy (Ha)
- -1.85224
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_kingston
Final energy-1.8061653103hartree
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
- 2026-01-15T10:43:41+01:00
- Wall time (s)
- 147
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)
- 0.0511097
- Signed error (Ha)
- 0.0511097
- Total QPU time (s)
- 20
- 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 | -1.7968343076 | 16.6043 | 1 | — |
| 2 | succeeded | -0.5586043313 | 7.38053 | 1 | — |
| 3 | succeeded | -0.7986434665 | 6.68018 | 1 | — |
| 4 | succeeded | -1.5343177908 | 6.49703 | 1 | — |
| 5 | succeeded | -1.6597397601 | 6.93061 | 1 | — |
| 6 | succeeded | -1.8126779517 | 6.85878 | 1 | — |
| 7 | succeeded | -1.7643579873 | 6.37441 | 1 | — |
| 8 | succeeded | -1.7824389431 | 7.57447 | 1 | — |
| 9 | succeeded | -1.8324586130 | 6.64959 | 1 | — |
| 10 | succeeded | -1.8047517853 | 6.82012 | 1 | — |
| 11 | succeeded | -1.7660316268 | 7.34293 | 1 | — |
| 12 | succeeded | -1.8522392744 | 6.43823 | 1 | — |
| 13 | succeeded | -1.8160599853 | 6.72023 | 1 | — |
| 14 | succeeded | -1.8078650158 | 6.36245 | 1 | — |
| 15 | succeeded | -1.8073013435 | 6.46472 | 1 | — |
| 16 | succeeded | -1.8064514908 | 6.81926 | 1 | — |
| 17 | succeeded | -1.8211504131 | 7.3319 | 1 | — |
| 18 | succeeded | -1.8417896158 | 7.44861 | 1 | — |
| 19 | succeeded | -1.7861071572 | 6.86406 | 1 | — |
| 20 | succeeded | -1.8061653103 | 6.15864 | 1 | — |