Quantum Computing Algorithm Verification

Test Environment Configuration
QPU Specifications:
| Vendor | Qubits | Connectivity | T1 (µs) | T2 (µs) |
|---|---|---|---|---|
| IBM | 27 | Heavy-hex | 75 | 50 |
| Rigetti | 40 | Octagonal | 60 | 40 |
Noise Characterization
Gate Error Matrix:
[[0.99, 0.005, 0.005],[0.003, 0.985, 0.012],
[0.002, 0.008, 0.990]]
Algorithm Validation
VQE Convergence Testing:
def test_vqe_convergence():
for molecular_config in [‘H2O’, ‘CH4’, ‘C6H6’]:
result = run_vqe(molecular_config)
assert result.energy < classical_baseline
assert result.variance < 0.01
assert result.iterations < 1000
Cross-Platform Verification
Result Comparison Framework
graph LR
A[IBM Result] –> C[Validation Engine]B[Rigetti Result] –> C
C –> D{Consensus Check}
D –>|Match| E[Approved]D –>|Mismatch| F[Diagnostics]
Optimization Statistics
Key Findings Table
| Parameter | Simulated | IBM | Rigetti | Variance |
|---|---|---|---|---|
| H2 Energy | -1.137 | -1.121 | -1.115 | 1.9% |
| Runtime | 18s | 142s | 97s | 39.7% |
Error Mitigation Techniques
Dynamic Decoupling:
- Reduced T2 errors by 42%
- Pulse schedule:
X90(0) –[τ]– Y180(0) –[τ]– X90(0)

