<p>Hardware validation on IBM’s 133-qubit Heron processor demonstrates that a quantum neural architecture can reliably distinguish neural configurations with 99.3% discrimination quality. The A-Gate circuit encodes excitatory-inhibitory dynamics from EEG signals using paired qubits, achieving <i>O</i>(<i>M</i>) gate complexity for <i>M</i>-channel correlation encoding versus <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(O(M^2)\)</EquationSource> </InlineEquation> classical computation on the symmetric positive definite (SPD) manifold. Transpilation to native CZ gates follows the predicted linear law over the implemented range (<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(14.1M - 17.5\)</EquationSource> </InlineEquation>, <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(R^2 &gt; 0.99\)</EquationSource> </InlineEquation> for <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(M \le 8\)</EquationSource> </InlineEquation>); extending to <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(M = 32\)</EquationSource> </InlineEquation> reveals super-linear growth from topology-induced routing overhead, which we report as a hardware limitation distinct from the architecture’s <i>O</i>(<i>M</i>) logical complexity. Evaluation on the CHB-MIT Scalp EEG Database using leave-one-subject-out (LOSO) cross-validation across 22 subjects reveals a critical encoding bottleneck: the quantum fidelity classifier achieves 53.4% AUC compared to 62.5% for an 8-channel classical baseline. Notably, per-subject AUC ranges from 0.183 to 1.000, with sub-chance performance in some cases suggesting what we term <i>manifold polarity</i>, a hypothesized patient-specific geometric orientation that may cause cross-subject template mismatch. The gap between quantum and classical performance indicates that mapping EEG features to circuit parameters, not the A-Gate architecture itself, limits classification. We provide complexity analysis with corrections to common quantum-advantage overclaims, and we are explicit that the present results establish hardware feasibility and the location of the performance bottleneck rather than clinical utility.</p>

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Hardware-validated quantum positive–negative neuron architecture for multi-channel EEG analysis

  • James Appenzeller

摘要

Hardware validation on IBM’s 133-qubit Heron processor demonstrates that a quantum neural architecture can reliably distinguish neural configurations with 99.3% discrimination quality. The A-Gate circuit encodes excitatory-inhibitory dynamics from EEG signals using paired qubits, achieving O(M) gate complexity for M-channel correlation encoding versus \(O(M^2)\) classical computation on the symmetric positive definite (SPD) manifold. Transpilation to native CZ gates follows the predicted linear law over the implemented range ( \(14.1M - 17.5\) , \(R^2 > 0.99\) for \(M \le 8\) ); extending to \(M = 32\) reveals super-linear growth from topology-induced routing overhead, which we report as a hardware limitation distinct from the architecture’s O(M) logical complexity. Evaluation on the CHB-MIT Scalp EEG Database using leave-one-subject-out (LOSO) cross-validation across 22 subjects reveals a critical encoding bottleneck: the quantum fidelity classifier achieves 53.4% AUC compared to 62.5% for an 8-channel classical baseline. Notably, per-subject AUC ranges from 0.183 to 1.000, with sub-chance performance in some cases suggesting what we term manifold polarity, a hypothesized patient-specific geometric orientation that may cause cross-subject template mismatch. The gap between quantum and classical performance indicates that mapping EEG features to circuit parameters, not the A-Gate architecture itself, limits classification. We provide complexity analysis with corrections to common quantum-advantage overclaims, and we are explicit that the present results establish hardware feasibility and the location of the performance bottleneck rather than clinical utility.