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This research introduces Quantum Spectral Models (QSMs) that leverage truncated Fourier representations and Hamiltonian constructions to create an input-dependent inductive bias. By directly constructing data-encoding unitaries from spectral values rather than standard coordinate-wise encoding, these models achieved superior test accuracy on benchmarks like Pendigits compared to existing quantum machine learning approaches. The findings highlight a significant methodological advance where sample-conditioned spectral characteristics are coupled through trainable mixers to enhance performance without relying solely on eigenvalue classification.
Quantum Models Align With Data Spectra for Improved Performance

New Quantum Spectral Models (QSMs) align inductive bias with input data’s spectral values, bypassing typical coordinate-wise encoding.
Peiyong Wang of CSIRO Technology, Udaya Parampalli of The University of Melbourne, and Casey R. Myers of The University of Western Australia have developed Quantum Spectral Models (QSMs) that directly construct data-encoding unitaries from input matrices, moving beyond standard quantum machine learning approaches. These three QSM variants, based on symmetric, global block, and non-overlapping patch-local Hamiltonians, process information by utilizing truncated Fourier representations where input-dependent spectral gaps supply candidate…
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