Method
- Mapper
- PT
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 30
- Best energy (Ha)
- -1.80712
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_kingston
Final energy-1.7966581600hartree
Shots4096
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
- 4096
- Precision
- 0.015625
- Resilience
- 0
- Submitted
- 2026-01-15T10:49:55+01:00
- Wall time (s)
- 171
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)
- 0.0606169
- Signed error (Ha)
- 0.0606169
- Total QPU time (s)
- 54
- 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
18 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 | -1.8008456192 | 11.2857 | 3 | — |
| 2 | succeeded | -0.5773660518 | 9.61421 | 3 | — |
| 3 | succeeded | -0.8378400381 | 8.99462 | 3 | — |
| 4 | succeeded | -1.5422130379 | 8.7925 | 3 | — |
| 5 | succeeded | -1.6321646528 | 9.04682 | 3 | — |
| 6 | succeeded | -1.7924821047 | 10.1659 | 3 | — |
| 7 | succeeded | -1.7776807181 | 8.71635 | 3 | — |
| 8 | succeeded | -1.7927563383 | 9.25419 | 3 | — |
| 9 | succeeded | -1.7956159026 | 9.12957 | 3 | — |
| 10 | succeeded | -1.8071170503 | 10.4321 | 3 | — |
| 11 | succeeded | -1.7969063958 | 9.00356 | 3 | — |
| 12 | succeeded | -1.8004206929 | 9.50687 | 3 | — |
| 13 | succeeded | -1.8031230820 | 9.34757 | 3 | — |
| 14 | succeeded | -1.8031951701 | 9.51763 | 3 | — |
| 15 | succeeded | -1.8001746293 | 9.866 | 3 | — |
| 16 | succeeded | -1.7939031982 | 9.60871 | 3 | — |
| 17 | succeeded | -1.7964825555 | 9.03633 | 3 | — |
| 18 | succeeded | -1.7966581600 | 9.58377 | 3 | — |