Method
- Mapper
- PT
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 25
- Best energy (Ha)
- -1.75524
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_torino
Final energy-1.7129876488hartree
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
- 2025-11-20T15:52:45+01:00
- Wall time (s)
- 132
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)
- 0.144287
- Signed error (Ha)
- 0.144287
- Total QPU time (s)
- 40
- 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 | -1.6921229499 | 7.02365 | 2 | — |
| 2 | succeeded | -0.6833955637 | 6.01457 | 2 | — |
| 3 | succeeded | -0.9161394056 | 6.11418 | 2 | — |
| 4 | succeeded | -1.5249846159 | 6.69162 | 2 | — |
| 5 | succeeded | -1.5644309502 | 6.50737 | 2 | — |
| 6 | succeeded | -1.7319856582 | 5.78678 | 2 | — |
| 7 | succeeded | -1.7154634897 | 6.60017 | 2 | — |
| 8 | succeeded | -1.7344636713 | 6.55451 | 2 | — |
| 9 | succeeded | -1.7552437920 | 6.53847 | 2 | — |
| 10 | succeeded | -1.7059980854 | 6.28645 | 2 | — |
| 11 | succeeded | -1.7323520724 | 6.09924 | 2 | — |
| 12 | succeeded | -1.7176509780 | 6.0909 | 2 | — |
| 13 | succeeded | -1.7364495572 | 7.4629 | 2 | — |
| 14 | succeeded | -1.7088186189 | 8.19518 | 2 | — |
| 15 | succeeded | -1.7334794170 | 6.74438 | 2 | — |
| 16 | succeeded | -1.7058506509 | 6.31564 | 2 | — |
| 17 | succeeded | -1.7284627065 | 6.81415 | 2 | — |
| 18 | succeeded | -1.7378609100 | 5.93315 | 2 | — |
| 19 | succeeded | -1.7286751697 | 6.28282 | 2 | — |
| 20 | succeeded | -1.7129876488 | 6.90803 | 2 | — |