Method
- Mapper
- P
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 30
- Best energy (Ha)
- -1.42812
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_aachen
Final energy-1.3917517448hartree
Shots256
Runtime executionsession
Resilience0
MappingP
Active space2e,2o
Parity mapping without qubit 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
- 256
- Precision
- 0.0625
- Resilience
- 0
- Submitted
- 2025-12-15T15:20:11+01:00
- Wall time (s)
- 121
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
- 74
- Two-qubit gates
- 32
- 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)
- 0.465523
- Signed error (Ha)
- 0.465523
- Total QPU time (s)
- 20
- 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 | -1.3731375797 | 14.5278 | 2 | — |
| 2 | succeeded | -0.7752257601 | 6.64253 | 1 | — |
| 3 | succeeded | -0.8776627382 | 6.80334 | 2 | — |
| 4 | succeeded | -1.2602392754 | 6.37791 | 1 | — |
| 5 | succeeded | -1.3337989998 | 6.63393 | 1 | — |
| 6 | succeeded | -1.3657570176 | 6.67085 | 1 | — |
| 7 | succeeded | -1.3177995603 | 6.40899 | 1 | — |
| 8 | succeeded | -1.3550063329 | 6.70103 | 1 | — |
| 9 | succeeded | -1.4281220285 | 6.02172 | 1 | — |
| 10 | succeeded | -1.3373317476 | 6.17678 | 1 | — |
| 11 | succeeded | -1.2999973552 | 5.72874 | 1 | — |
| 12 | succeeded | -1.3050018475 | 6.11581 | 1 | — |
| 13 | succeeded | -1.3465935161 | 5.78411 | 1 | — |
| 14 | succeeded | -1.2584995844 | 6.05171 | 1 | — |
| 15 | succeeded | -1.3201432610 | 5.82875 | 1 | — |
| 16 | succeeded | -1.3660211904 | 5.83787 | 1 | — |
| 17 | succeeded | -1.4016518783 | 6.14213 | 1 | — |
| 18 | succeeded | -1.3917517448 | 6.60592 | 1 | — |