Method
- Mapper
- PF
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 30
- Best energy (Ha)
- -1.78136
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_aachen
Final energy-1.7560984614hartree
Shots1024
Runtime executionsession
Resilience0
MappingPF
Active space2e,2o
Parity mapping with particle-number reduction · 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
- 2025-11-24T13:48:00+01:00
- Wall time (s)
- 131
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
- 2
- Physical qubits
- Not recorded
- Parameters
- Not recorded
- Depth
- 17
- Two-qubit gates
- 4
- 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)
- 0.101177
- Signed error (Ha)
- 0.101177
- Total QPU time (s)
- 41
- 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 | -1.7465354053 | 14.6516 | 2 | — |
| 2 | succeeded | -0.6452569270 | 7.19127 | 2 | — |
| 3 | succeeded | -0.8610462999 | 6.49474 | 2 | — |
| 4 | succeeded | -1.5287203810 | 6.0029 | 2 | — |
| 5 | succeeded | -1.6069209133 | 5.7063 | 2 | — |
| 6 | succeeded | -1.7610458192 | 5.91121 | 2 | — |
| 7 | succeeded | -1.7395972586 | 5.88422 | 2 | — |
| 8 | succeeded | -1.7487049374 | 5.62408 | 2 | — |
| 9 | succeeded | -1.7387190864 | 5.84518 | 2 | — |
| 10 | succeeded | -1.7669808774 | 5.89934 | 2 | — |
| 11 | succeeded | -1.7813635079 | 6.211 | 2 | — |
| 12 | succeeded | -1.7430255273 | 7.79121 | 3 | — |
| 13 | succeeded | -1.7492236484 | 6.04974 | 2 | — |
| 14 | succeeded | -1.7728670714 | 5.90857 | 2 | — |
| 15 | succeeded | -1.7373770862 | 5.87997 | 2 | — |
| 16 | succeeded | -1.7601828521 | 6.28077 | 2 | — |
| 17 | succeeded | -1.7633720127 | 6.55047 | 2 | — |
| 18 | succeeded | -1.7532618041 | 5.90931 | 2 | — |
| 19 | succeeded | -1.7680959855 | 6.16483 | 2 | — |
| 20 | succeeded | -1.7560984614 | 5.91293 | 2 | — |