arXiv Machine Learning By Felix Frohnert, Adri\'an P\'erez-Salinas, Sebastian Lange, Marcus Schwaebisch, Evert van Nieuwenburg, Vedran Dunjko

Task-aligned spectral inductive biases in parameterized quantum circuits

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The paper investigates how parameterized quantum circuits can incorporate task‑aligned inductive biases by encoding a fixed, task‑defined spectral query alongside a signal that varies between samples. By modulating the combination of existing signal frequencies, the query changes the circuit’s hypothesis class without adding new sample‑dependent information, aligning the circuit with tasks based on nonuniform Fourier transforms. Experiments on small‑scale spectral and radar‑inspired classification tasks show that aligned queries improve learning from limited data compared to circuits with mismatched or absent queries.

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