Method
- Mapper
- JW
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 30
- Best energy (Ha)
- -1.56585
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_pittsburgh
Final energy-1.5658518509hartree
Shots4096
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
- 4096
- Precision
- 0.015625
- Resilience
- 1
- Submitted
- 2026-03-03T15:45:40+01:00
- Wall time (s)
- 627
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)
- 0.291423
- Signed error (Ha)
- 0.291423
- Total QPU time (s)
- 394
- 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 | -1.3754757441 | 25.7311 | 17 | — |
| 2 | succeeded | -0.7516450133 | 32.2111 | 17 | — |
| 3 | succeeded | -0.9194503374 | 25.3947 | 17 | — |
| 4 | succeeded | -1.2176895640 | 25.8037 | 17 | — |
| 5 | succeeded | -1.5131328705 | 24.583 | 17 | — |
| 6 | succeeded | -1.1447991208 | 25.9091 | 17 | — |
| 7 | succeeded | -1.3370481475 | 25.5989 | 17 | — |
| 8 | succeeded | -1.3592021124 | 24.9614 | 17 | — |
| 9 | succeeded | -1.5462808052 | 24.9397 | 17 | — |
| 10 | succeeded | -1.5653941667 | 28.0399 | 17 | — |
| 11 | succeeded | -1.5355162757 | 25.1433 | 17 | — |
| 12 | succeeded | -1.5532120488 | 25.3692 | 17 | — |
| 13 | succeeded | -1.5658518509 | 25.497 | 17 | — |
| 14 | succeeded | -1.4582938596 | 28.2637 | 17 | — |
| 15 | succeeded | -1.5412969411 | 26.2744 | 17 | — |
| 16 | succeeded | -1.5535556003 | 24.985 | 17 | — |
| 17 | succeeded | -1.5540890534 | 25.5992 | 17 | — |
| 18 | succeeded | -1.2838760119 | 24.0925 | 17 | — |
| 19 | succeeded | -1.5641890937 | 55.5508 | 20 | — |
| 20 | succeeded | -1.5503235809 | 25.6264 | 17 | — |
| 21 | succeeded | -1.1457718251 | 25.2919 | 17 | — |
| 22 | succeeded | -1.4251478125 | 25.1902 | 17 | — |
| 23 | succeeded | -1.3446339372 | 25.187 | 17 | — |