Method
- Mapper
- PT
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 40
- Best energy (Ha)
- -1.77452
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_torino
Final energy-1.7745214654hartree
Shots256
Runtime executionsingle-job
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_torino
- Resource type
- ibm quantum hardware
- Processor family
- Heron r1
- Processor model
- Not recorded
- Processor revision
- Not recorded
- Qubits
- Not recorded
- Connectivity
- Not recorded
- Runtime execution
- single-job
- Shots
- 256
- Precision
- 0.0625
- Resilience
- 0
- Submitted
- 2026-03-06T23:48:19+01:00
- Wall time (s)
- 167
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)
- 0.0827536
- Signed error (Ha)
- 0.0827536
- Total QPU time (s)
- 19
- 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
19 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 | -1.7745214654 | 7.70815 | 1 | — |
| 2 | succeeded | -0.7168843765 | 7.79133 | 1 | — |
| 3 | succeeded | -0.9947764403 | 8.23167 | 1 | — |
| 4 | succeeded | -1.2292912603 | 7.63817 | 1 | — |
| 5 | succeeded | -1.7163068260 | 7.8046 | 1 | — |
| 6 | succeeded | -1.6526895124 | 8.02518 | 1 | — |
| 7 | succeeded | -1.7109215291 | 7.84213 | 1 | — |
| 8 | succeeded | -1.6648475651 | 11.4158 | 1 | — |
| 9 | succeeded | -1.6532618733 | 8.40731 | 1 | — |
| 10 | succeeded | -1.7239207459 | 9.96123 | 1 | — |
| 11 | succeeded | -1.7086581514 | 8.98747 | 1 | — |
| 12 | succeeded | -1.6043695479 | 8.30184 | 1 | — |
| 13 | succeeded | -1.6656974178 | 9.70843 | 1 | — |
| 14 | succeeded | -1.6470441010 | 12.5709 | 1 | — |
| 15 | succeeded | -1.7140260709 | 8.78154 | 1 | — |
| 16 | succeeded | -1.6727563542 | 8.1715 | 1 | — |
| 17 | succeeded | -1.6843507346 | 7.51876 | 1 | — |
| 18 | succeeded | -1.6631565483 | 8.54939 | 1 | — |
| 19 | succeeded | -1.7117713819 | 8.74803 | 1 | — |