Parameterised Quantum Circuits Reveal Redundancy-Driven Spectral Bias

In a 2026 preprint, Callum Duffy analyzes spectral bias in parameterised quantum circuits (PQCs), proving it arises from redundancy among Fourier coefficients and linking redundancy to training gradient magnitudes. He empirically validates the effect across three encoding schemes and shows higher redundancy yields robustness to parameter perturbations. The paper also finds that large parameter initializations and low-entanglement circuit designs slow convergence, informing PQC architecture choices.
Scoring Rationale
Strong theoretical and empirical contribution with practical design guidance; limited by niche quantum-ML scope and single preprint source
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