Method
- Mapper
- PT
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 40
- Best energy (Ha)
- -1.73947
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_torino
Final energy-1.7394695209hartree
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
- 2026-03-04T10:48:05+01:00
- Wall time (s)
- 290
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)
- 0.117806
- Signed error (Ha)
- 0.117806
- Total QPU time (s)
- 21
- 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 | -1.7131849069 | 13.4121 | 1 | — |
| 2 | succeeded | -0.6555565066 | 16.0768 | 1 | — |
| 3 | succeeded | -0.8890743118 | 15.1539 | 1 | — |
| 4 | succeeded | -1.1464830236 | 13.4086 | 1 | — |
| 5 | succeeded | -1.6162587975 | 17.7363 | 1 | — |
| 6 | succeeded | -1.6436446901 | 22.3697 | 1 | — |
| 7 | succeeded | -1.6914270483 | 13.9239 | 1 | — |
| 8 | succeeded | -1.6128420093 | 11.1754 | 1 | — |
| 9 | succeeded | -1.7321157155 | 13.2417 | 1 | — |
| 10 | succeeded | -1.6724875510 | 14.9442 | 1 | — |
| 11 | succeeded | -1.6515621678 | 17.1071 | 1 | — |
| 12 | succeeded | -1.6852005873 | 14.4375 | 1 | — |
| 13 | succeeded | -1.6778554705 | 14.758 | 1 | — |
| 14 | succeeded | -1.6967862791 | 15.5453 | 1 | — |
| 15 | succeeded | -1.7394695209 | 16.6907 | 1 | — |
| 16 | succeeded | -1.6950952623 | 10.0291 | 1 | — |
| 17 | succeeded | -1.7332517486 | 18.4372 | 1 | — |
| 18 | succeeded | -1.6326313592 | 13.6454 | 2 | — |
| 19 | succeeded | -1.6744647483 | 10.8456 | 1 | — |
| 20 | succeeded | -1.6812375042 | 10.8586 | 1 | — |