Method
- Mapper
- JW
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 30
- Best energy (Ha)
- -1.33225
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_aachen
Final energy-1.3322496113hartree
Shots1024
Runtime executionsession
Resilience0
MappingJW
Active space2e,2o
Jordan-Wigner mapping · Shots and precision · Resilience settings
Execution
- Mode
- hardware
- Provider
- IBM Quantum
- Compute resource
- ibm_aachen
- Resource type
- quantum processor
- Processor family
- Heron
- Processor model
- ibm_aachen
- Processor revision
- 3
- Qubits
- 156
- Connectivity
- Not recorded
- Runtime execution
- session
- Shots
- 1024
- Precision
- 0.03125
- Resilience
- 0
- Submitted
- 2025-12-15T14:08:21+01:00
- Wall time (s)
- 156
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)
- 0.525025
- Signed error (Ha)
- 0.525025
- Total QPU time (s)
- 60
- 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 | -1.3098853350 | 13.1145 | 3 | — |
| 2 | succeeded | -0.8389218466 | 7.13107 | 3 | — |
| 3 | succeeded | -0.8643085116 | 7.35986 | 3 | — |
| 4 | succeeded | -1.2143969120 | 9.78294 | 3 | — |
| 5 | succeeded | -1.2392445038 | 7.26228 | 3 | — |
| 6 | succeeded | -1.3069932944 | 7.27728 | 3 | — |
| 7 | succeeded | -1.3155617089 | 7.37355 | 3 | — |
| 8 | succeeded | -1.2896199892 | 7.54255 | 3 | — |
| 9 | succeeded | -1.2821085635 | 7.20898 | 3 | — |
| 10 | succeeded | -1.3300444241 | 9.19492 | 3 | — |
| 11 | succeeded | -1.3019785831 | 7.19908 | 3 | — |
| 12 | succeeded | -1.3105339350 | 7.3511 | 3 | — |
| 13 | succeeded | -1.3087727668 | 8.30744 | 3 | — |
| 14 | succeeded | -1.3161911227 | 7.10128 | 3 | — |
| 15 | succeeded | -1.3247942964 | 7.17065 | 3 | — |
| 16 | succeeded | -1.3102575402 | 7.34655 | 3 | — |
| 17 | succeeded | -1.3310717743 | 7.17788 | 3 | — |
| 18 | succeeded | -1.3153050421 | 7.37871 | 3 | — |
| 19 | succeeded | -1.3107938391 | 7.05434 | 3 | — |
| 20 | succeeded | -1.3322496113 | 6.88406 | 3 | — |