Method
- Mapper
- JW
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 30
- Best energy (Ha)
- -1.66886
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_pittsburgh
Final energy-1.6688554724hartree
Shots64
Runtime executionsingle-job
Resilience1
MappingJW
Active space2e,2o
Jordan-Wigner mapping · Shots and precision · Resilience settings
Execution
- Mode
- hardware
- Provider
- IBM Quantum
- Compute resource
- ibm_pittsburgh
- Resource type
- quantum processor
- Processor family
- Heron
- Processor model
- ibm_pittsburgh
- Processor revision
- 3
- Qubits
- 156
- Connectivity
- Not recorded
- Runtime execution
- single-job
- Shots
- 64
- Precision
- 0.125
- Resilience
- 1
- Submitted
- 2026-03-03T14:53:18+01:00
- Wall time (s)
- 938
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
- 4
- Physical qubits
- Not recorded
- Parameters
- Not recorded
- Depth
- 96
- Two-qubit gates
- 48
- 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)
- 0.18842
- Signed error (Ha)
- 0.18842
- Total QPU time (s)
- 293
- 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
23 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 | -1.4694779856 | 98.8948 | 17 | — |
| 2 | succeeded | -0.8228719305 | 74.6757 | 14 | — |
| 3 | succeeded | -0.9716041753 | 62.8727 | 21 | — |
| 4 | succeeded | -1.1186953585 | 29.0022 | 11 | — |
| 5 | succeeded | -1.3261639329 | 30.7188 | 14 | — |
| 6 | succeeded | -1.4882636822 | 19.8644 | 11 | — |
| 7 | succeeded | -1.3937320184 | 19.1611 | 10 | — |
| 8 | succeeded | -1.6193790148 | 29.4836 | 14 | — |
| 9 | succeeded | -1.5533415001 | 20.1655 | 11 | — |
| 10 | succeeded | -1.5614478630 | 55.5098 | 13 | — |
| 11 | succeeded | -1.4741925441 | 40.3428 | 11 | — |
| 12 | succeeded | -1.5835880880 | 24.4391 | 11 | — |
| 13 | succeeded | -1.3609381817 | 45.532 | 11 | — |
| 14 | succeeded | -1.6095121921 | 25.5154 | 10 | — |
| 15 | succeeded | -1.5538442448 | 41.9824 | 11 | — |
| 16 | succeeded | -1.6032536379 | 47.9306 | 17 | — |
| 17 | succeeded | -1.5060852818 | 25.5995 | 11 | — |
| 18 | succeeded | -1.5247900230 | 53.7411 | 14 | — |
| 19 | succeeded | -1.6688554724 | 40.8153 | 14 | — |
| 20 | succeeded | -1.4158386539 | 55.9571 | 14 | — |
| 21 | succeeded | -1.5295010315 | 26.1115 | 11 | — |
| 22 | succeeded | -1.5010353480 | 41.573 | 11 | — |
| 23 | succeeded | -1.0359525647 | 25.6002 | 11 | — |