Harmoniq approximates a quantum-harmonic-analysis data augmentation operator as a mixture of at most quadratic-depth n-qubit circuits, enabling modular combination with other quantum subroutines for signal denoising.
Quantum harmonic analysis on phase space
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Provides two sets of conditions on GQCAs guaranteeing thermalization to infinite temperature via a quantum many-body generalization of the Riemann-Lebesgue lemma for states with bounded density.
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Harmoniq: Efficient Data Augmentation on a Quantum Computer Inspired by Harmonic Analysis
Harmoniq approximates a quantum-harmonic-analysis data augmentation operator as a mixture of at most quadratic-depth n-qubit circuits, enabling modular combination with other quantum subroutines for signal denoising.
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Thermalization with Gaussian Quantum Cellular Automata
Provides two sets of conditions on GQCAs guaranteeing thermalization to infinite temperature via a quantum many-body generalization of the Riemann-Lebesgue lemma for states with bounded density.