Method
- Mapper
- PT
- Ansatz
- UCC
- Optimizer
- COBYLA
- Maximum iterations
- 40
- Best energy (Ha)
- -1.83246
H2
H2 VQE accuracy-cost benchmark · hardware · ibm_torino
Final energy-1.8324586130hartree
Shots64
Runtime executionsingle-job
Resilience0
MappingPT
Active space2e,2o
Parity mapping with full symmetry tapering · Shots and precision · Resilience settings
Execution
- Mode
- hardware
- Provider
- IBM Quantum
- Compute resource
- ibm_torino
- Resource type
- ibm quantum hardware
- Processor family
- Heron r1
- Processor model
- Not recorded
- Processor revision
- Not recorded
- Qubits
- Not recorded
- Connectivity
- Not recorded
- Runtime execution
- single-job
- Shots
- 64
- Precision
- 0.125
- Resilience
- 0
- Submitted
- 2026-03-06T23:32:46+01:00
- Wall time (s)
- 655
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
- 1
- Physical qubits
- Not recorded
- Parameters
- Not recorded
- Depth
- 1
- Two-qubit gates
- 0
- 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)
- 0.0248164
- Signed error (Ha)
- 0.0248164
- Total QPU time (s)
- 26
- 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
19 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 | -1.8245498240 | 8.80712 | 1 | — |
| 2 | succeeded | -0.6216492839 | 8.18649 | 1 | — |
| 3 | succeeded | -0.8919013618 | 8.1433 | 1 | — |
| 4 | succeeded | -1.4096153446 | 8.09849 | 1 | — |
| 5 | succeeded | -1.7228107787 | 7.3734 | 1 | — |
| 6 | succeeded | -1.6594709569 | 7.41068 | 1 | — |
| 7 | succeeded | -1.6199270116 | 7.57173 | 1 | — |
| 8 | succeeded | -1.6628703678 | 8.24722 | 1 | — |
| 9 | succeeded | -1.8324586130 | 7.708 | 1 | — |
| 10 | succeeded | -1.7374836350 | 49.0275 | 1 | — |
| 11 | succeeded | -1.7646094131 | 116.558 | 3 | — |
| 12 | succeeded | -1.7352289459 | 17.9014 | 1 | — |
| 13 | succeeded | -1.6741785678 | 345.17 | 6 | — |
| 14 | succeeded | -1.8075875240 | 11.2601 | 1 | — |
| 15 | succeeded | -1.8211504131 | 8.70549 | 1 | — |
| 16 | succeeded | -1.7770623349 | 8.35917 | 1 | — |
| 17 | succeeded | -1.7216660568 | 8.40104 | 1 | — |
| 18 | succeeded | -1.7770623349 | 7.98301 | 1 | — |
| 19 | succeeded | -1.6527068897 | 56.9802 | 1 | — |