Quantum-Inspired Hybrid Neural Networks for Neural Decoding: A Controlled Ablation Study of Learnable Quantum Sidecar Integration
Organizations: Reichman University, Herzliya, Israel · Dartmouth College, USA · The Edmond and Lily Safra Center for Brain Sciences at The Hebrew University of Jerusalem, Israel
Abstract
We study parameterized quantum circuits (PQCs) integrated as residual sidecar modules within a ResNet-50 backbone for 31-class neural population decoding---imagined handwriting classification from multi-neuron spike rasters. Under strictly controlled conditions (fixed data splits, seeds, and optimizer), we compare four model variants: baseline, quantum sidecar with frozen input projection, quantum sidecar with backbone-gradient-trained projection, and a measurement-guided variant that aligns angle encodings with circuit measurement outcomes. The backbone-gradient variant improves accuracy in 3/4 seeds (+0.19% mean, 95% CI [-1.10%, +1.48%]) and consistently reduces Linear CKA similarity to baseline features (, 4/4 seeds), indicating genuine structural reorganization of representations. A nine-variant ablation identifies simple shallow architectures as the most effective and reproducible configuration. Measurement-guided training consistently improves representation geometry without reducing accuracy. All results use noiseless statevector simulation on 4 qubits, a regime chosen to reflect the practical constraints of current near-term superconducting hardware; no quantum computational advantage over classical methods is claimed.
Figures & tables
| Classification | Geometry ( ) | CKA | ||||||
|---|---|---|---|---|---|---|---|---|
| Seed | Model | Top-1 | Macro-F1 | Acc | Inter/Intra | (vs Base) | (star pref.) | |
| 42 | Baseline | 85.88% | 86.18% | — | 2.919 | — | 1.000 | — |
| Quantum-Frozen | 85.53% | 85.91% | 3.001 | 0.768 | 0.504 | |||
| Quantum-BackboneGrad | 85.90% | 86.31% | 2.959 | 0.747 | 0.562 | |||
| Geometry-loss | 85.27% | 86.06% | 3.809 | 0.577 | 0.302 | |||
| Meas.-guided | 85.67% | 86.15% | 3.823 | 0.613 | 0.455 | |||
| Variant | What changed | Top-1 | ||
|---|---|---|---|---|
| Quantum-BackboneGrad | Trainable feature-to-angle encoder; backbone-only gradient path; Z-only measurement; learned topology mixing. | 86.32% | — | 3.005 |
| XYZ measurement | Full Pauli readout (12 observables) instead of Z-only (4 outputs). | 85.74% | 2.902 | |
| Deep proj MLP | Shallow linear projection replaced by MLP with PCA-initialized output. | 85.95% | 3.034 | |
| Attention projection | Attention-style adaptive projection before angle generation. | 85.77% | 2.943 | |
| Diverse projection | Orthogonality and diversity regularization to decorrelate angle subspaces. | 86.08% | 3.009 | |
| Classical bottleneck | Same residual architecture with tanh nonlinearity; no PQC. Identical parameter count (18,442). | 85.14% | 2.949 |