Quantum frequency resampling

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...

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Main Authors: Emanuele Tumbiolo, Simone Roncallo, Chiara Macchiavello, Lorenzo Maccone
Format: Article
Language:English
Published: Nature Portfolio 2025-07-01
Series:npj Quantum Information
Online Access:https://doi.org/10.1038/s41534-025-01076-z
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author Emanuele Tumbiolo
Simone Roncallo
Chiara Macchiavello
Lorenzo Maccone
author_facet Emanuele Tumbiolo
Simone Roncallo
Chiara Macchiavello
Lorenzo Maccone
author_sort Emanuele Tumbiolo
collection DOAJ
description 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.
format Article
id doaj-art-4d607d977f1d46fdac470d2b259c425c
institution Kabale University
issn 2056-6387
language English
publishDate 2025-07-01
publisher Nature Portfolio
record_format Article
series npj Quantum Information
spelling doaj-art-4d607d977f1d46fdac470d2b259c425c2025-08-20T04:03:07ZengNature Portfolionpj Quantum Information2056-63872025-07-011111710.1038/s41534-025-01076-zQuantum frequency resamplingEmanuele Tumbiolo0Simone Roncallo1Chiara Macchiavello2Lorenzo Maccone3Dipartimento di Fisica, Università degli Studi di PaviaDipartimento di Fisica, Università degli Studi di PaviaDipartimento di Fisica, Università degli Studi di PaviaDipartimento di Fisica, Università degli Studi di PaviaAbstract 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.https://doi.org/10.1038/s41534-025-01076-z
spellingShingle Emanuele Tumbiolo
Simone Roncallo
Chiara Macchiavello
Lorenzo Maccone
Quantum frequency resampling
npj Quantum Information
title Quantum frequency resampling
title_full Quantum frequency resampling
title_fullStr Quantum frequency resampling
title_full_unstemmed Quantum frequency resampling
title_short Quantum frequency resampling
title_sort quantum frequency resampling
url https://doi.org/10.1038/s41534-025-01076-z
work_keys_str_mv AT emanueletumbiolo quantumfrequencyresampling
AT simoneroncallo quantumfrequencyresampling
AT chiaramacchiavello quantumfrequencyresampling
AT lorenzomaccone quantumfrequencyresampling