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DOE OSTI · 2568620

Quantum frequency resampling

Tumbiolo, Emanuele [Università degli Studi di Pavia (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Pavia (Italy)] (ORCID:0009000064111285)·Roncallo, Simone [Università degli Studi di Pavia (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Pavia (Italy)] (ORCID:0000000335069027)·Macchiavello, Chiara [Università degli Studi di Pavia (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Pavia (Italy)] (ORCID:0000000229558759)·Maccone, Lorenzo [Università degli Studi di Pavia (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Pavia (Italy)] (ORCID:0000000267295312)
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Abstract

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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71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

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Tumbiolo, Emanuele [Università degli Studi di Pavia (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Pavia (Italy)] (ORCID:0009000064111285), Roncallo, Simone [Università degli Studi di Pavia (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Pavia (Italy)] (ORCID:0000000335069027), Macchiavello, Chiara [Università degli Studi di Pavia (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Pavia (Italy)] (ORCID:0000000229558759), Maccone, Lorenzo [Università degli Studi di Pavia (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Pavia (Italy)] (ORCID:0000000267295312). 2025-07-25. Quantum frequency resampling. https://doi.org/10.1038/s41534-025-01076-z

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