Method
- Mapper
- PT
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 40
- Best energy (Ha)
- -1.68091
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_torino
Final energy-1.6809058445hartree
Shots1024
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
- 1024
- Precision
- 0.03125
- Resilience
- 0
- Submitted
- 2026-03-04T10:58:34+01:00
- Wall time (s)
- 343
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)
- 0.176369
- Signed error (Ha)
- 0.176369
- Total QPU time (s)
- 42
- 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 | -1.6625191587 | 12.8736 | 2 | — |
| 2 | succeeded | -0.7052271396 | 16.0707 | 2 | — |
| 3 | succeeded | -0.9082934730 | 16.8066 | 2 | — |
| 4 | succeeded | -1.2513352993 | 10.8536 | 2 | — |
| 5 | succeeded | -1.6734891826 | 11.1614 | 2 | — |
| 6 | succeeded | -1.6148496168 | 14.029 | 2 | — |
| 7 | succeeded | -1.6610492938 | 21.1961 | 2 | — |
| 8 | succeeded | -1.6482690566 | 14.7455 | 2 | — |
| 9 | succeeded | -1.6568108909 | 17.8172 | 2 | — |
| 10 | succeeded | -1.6581572151 | 14.9552 | 2 | — |
| 11 | succeeded | -1.6541269312 | 10.2594 | 2 | — |
| 12 | succeeded | -1.6809058445 | 13.8221 | 2 | — |
| 13 | succeeded | -1.6402106608 | 12.4911 | 2 | — |
| 14 | succeeded | -1.6300363219 | 14.475 | 2 | — |
| 15 | succeeded | -1.6526462054 | 13.0088 | 2 | — |
| 16 | succeeded | -1.6554710832 | 13.9246 | 2 | — |
| 17 | succeeded | -1.6722165757 | 15.0512 | 2 | — |
| 18 | succeeded | -1.6684746443 | 37.0661 | 2 | — |
| 19 | succeeded | -1.6551177020 | 16.8948 | 2 | — |
| 20 | succeeded | -1.6526462054 | 16.6124 | 2 | — |
| 21 | succeeded | -1.6685461894 | 31.0262 | 2 | — |