47 Jupyter notebooks and 21 standalone Python examples covering the full framework.
| # | Notebook | Level | Description |
|---|---|---|---|
| 01 | Kuramoto XY Dynamics | Beginner | R(t) order parameter trajectory. 4-oscillator system. Trotter evolution. First quantum circuit. |
| 02 | VQE Ground State | Beginner | Variational eigensolver convergence. Knm-informed ansatz. Energy landscape visualisation. |
| 03 | Error Mitigation | Intermediate | ZNE with Richardson extrapolation. Before/after comparison. Noise model calibration. |
| 04 | UPDE 16-Layer | Intermediate | Full SCPN 16-layer simulation. Per-layer synchronisation analysis. Decoherence budget. |
| 05 | Crypto & Entanglement | Intermediate | CHSH Bell test + BB84 QKD. Entanglement certification. Key generation rate. |
| 06 | PEC Error Cancellation | Advanced | Probabilistic error cancellation. Overhead scaling. Quasi-probability decomposition. |
| 07 | Quantum Advantage | Advanced | Classical vs quantum crossover prediction. MPS baseline comparison. Scaling analysis. |
| 08 | Identity Continuity | Advanced | VQE attractor basin. Coherence budget dynamics. Entanglement witness tracking. |
| 09 | ITER Disruption | Advanced | Plasma disruption classification. SVM → VQE embedding. MHD mode coupling. |
| 10 | QSNN Training | Advanced | Quantum spiking neural network. Loss curves. STDP learning. Dynamic coupling. |
| 11 | Surface Code Budget | Advanced | QEC resource estimation. Toric code simulation. Logical error rates. |
| 12 | Trapped-Ion Comparison | Advanced | Superconducting vs trapped-ion noise models. Platform-agnostic benchmarking. |
| 13 | Cross-Repo Bridges | Intermediate | SC-NeuroCore + SSGF round-trip. Bridge validation. Ecosystem integration. |
Systematic investigation of Fisher Information Matrix synchronisation mechanism. Multi-angle measurements across 9 Gemini 10X modules. 25 JSON result files. Novel findings:
| Example | Description |
|---|---|
| kuramoto_xy_demo.py | 4-oscillator quantum dynamics, complete pipeline |
| vqe_ansatz_comparison.py | Compare 3 VQE ansätze on same Hamiltonian |
| qaoa_mpc_demo.py | Binary MPC optimisation with QAOA |
| crypto_bell_test.py | CHSH inequality certification |
| zne_demo.py | Zero-noise extrapolation with 4 methods |
| pec_demo.py | Probabilistic error cancellation |
| dynamical_decoupling.py | XY4, X2, CPMG pulse sequences |
| qlif_demo.py | Quantum LIF neuron simulation |
| qpetri_demo.py | Quantum Petri net supervisor |
| trapped_ion_demo.py | Ion trap noise model comparison |
| iter_disruption_demo.py | Plasma disruption classification |
| identity_continuity_demo.py | VQE attractor basin mapping |
| qsnn_training_demo.py | QSNN training with STDP |
| fault_tolerant_demo.py | Repetition code QEC |
| quantum_advantage_demo.py | Crossover estimation analysis |
| classical_vs_quantum_benchmark.py | Scaling comparison with timings |
| sync_witness_operator.py | 3 novel synchronisation witnesses |
| quantum_persistent_homology.py | Topological data analysis |
| biological_qec_scpn16.py | Biological surface code for SCPN |
| snn_ssgf_bridges_demo.py | Cross-repo round-trip validation |
| end_to_end_pipeline.py | Knm → IBM hardware → analysis |