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Quantum frequency resampling

27 Jan 2025arXiv:2501.16283links table onlyarchive 2025-07-28

Emanuele Tumbiolo, Simone Roncallo, Chiara Macchiavello, Lorenzo Maccone

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In signal processing, resampling algorithms can modify the number of resources encoding a collection of data points. Downsampling reduces the cost of storage and communication, while upsampling interpolates new data from limited one, e.g. when resizing a digital image. We present a toolset of quantum algorithms to resample data encoded in the probabilities of a quantum register, using the quantum Fourier transform to adjust the number of high-frequency encoding qubits. We discuss advantage over classical resampling algorithms.

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