Method
- Mapper
- PT
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 40
- Best energy (Ha)
- -1.90482
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_miami
Final energy-1.9048171911hartree
Shots32
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_miami
- Resource type
- ibm quantum hardware
- Processor family
- Nighthawk r1
- Processor model
- Not recorded
- Processor revision
- Not recorded
- Qubits
- Not recorded
- Connectivity
- Not recorded
- Runtime execution
- single-job
- Shots
- 32
- Precision
- 0.176777
- Resilience
- 0
- Submitted
- 2026-03-09T11:33:24+01:00
- Wall time (s)
- 147
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)
- 23
- 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
18 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 | -1.7759176131 | 8.19037 | 1 | — |
| 2 | succeeded | -0.6951178293 | 7.80156 | 1 | — |
| 3 | succeeded | -0.7019861603 | 9.00582 | 1 | — |
| 4 | succeeded | -1.1201810322 | 8.16678 | 1 | — |
| 5 | succeeded | -1.6719238787 | 8.65108 | 2 | — |
| 6 | succeeded | -1.7804269913 | 8.293 | 2 | — |
| 7 | succeeded | -1.7012695914 | 7.89294 | 1 | — |
| 8 | succeeded | -1.8256597912 | 7.62305 | 1 | — |
| 9 | succeeded | -1.9048171911 | 7.57602 | 1 | — |
| 10 | succeeded | -1.9048171911 | 8.00029 | 1 | — |
| 11 | succeeded | -1.8256597912 | 7.67801 | 2 | — |
| 12 | succeeded | -1.9048171911 | 8.02894 | 2 | — |
| 13 | succeeded | -1.6606156788 | 8.29464 | 1 | — |
| 14 | succeeded | -1.7985340131 | 8.19193 | 2 | — |
| 15 | succeeded | -1.8935089911 | 8.02018 | 1 | — |
| 16 | succeeded | -1.8369679912 | 7.598 | 1 | — |
| 17 | succeeded | -1.7985340131 | 8.17253 | 1 | — |
| 18 | succeeded | -1.7261754350 | 7.8273 | 1 | — |