Method
- Mapper
- PT
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 30
- Best energy (Ha)
- -1.90482
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_torino
Final energy-1.9048171911hartree
Shots16
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
- 16
- Precision
- 0.25
- Resilience
- 0
- Submitted
- 2026-03-03T23:00:56+01:00
- Wall time (s)
- 271
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)
- 0.0475422
- Signed error (Ha)
- -0.0475422
- Total QPU time (s)
- 22
- 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 | -1.8053328349 | 11.9987 | 1 | — |
| 2 | succeeded | -0.5300737168 | 11.8802 | 1 | — |
| 3 | succeeded | -0.7019861603 | 9.7269 | 1 | — |
| 4 | succeeded | -0.9822626979 | 11.0837 | 1 | — |
| 5 | succeeded | -1.7284648787 | 11.7775 | 1 | — |
| 6 | succeeded | -1.6606156788 | 10.0348 | 1 | — |
| 7 | succeeded | -1.7284648787 | 12.5316 | 1 | — |
| 8 | succeeded | -1.7601000350 | 9.93277 | 1 | — |
| 9 | succeeded | -1.9048171911 | 12.9008 | 1 | — |
| 10 | succeeded | -1.8279492349 | 20.7048 | 1 | — |
| 11 | succeeded | -1.5385149226 | 25.9571 | 1 | — |
| 12 | succeeded | -1.7374836350 | 14.4563 | 1 | — |
| 13 | succeeded | -1.5611313225 | 12.5475 | 1 | — |
| 14 | succeeded | -1.4932821226 | 13.8837 | 1 | — |
| 15 | succeeded | -1.5837477225 | 12.768 | 1 | — |
| 16 | succeeded | -1.6832320787 | 15.3143 | 1 | — |
| 17 | succeeded | -1.4390305664 | 11.0626 | 1 | — |
| 18 | succeeded | -1.7058484787 | 12.3882 | 1 | — |
| 19 | succeeded | -1.8143515912 | 11.8526 | 1 | — |
| 20 | succeeded | -1.8053328349 | 11.8782 | 1 | — |
| 21 | succeeded | -1.7917351913 | 8.49935 | 2 | — |