Quantum frequency resampling

Fuente: arXiv
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Autori principali: Tumbiolo, Emanuele, Roncallo, Simone, Macchiavello, Chiara, Maccone, Lorenzo
Natura: Preprint
Pubblicazione: 2025
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author Tumbiolo, Emanuele
Roncallo, Simone
Macchiavello, Chiara
Maccone, Lorenzo
author_facet Tumbiolo, Emanuele
Roncallo, Simone
Macchiavello, Chiara
Maccone, Lorenzo
contents 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 Preprint
id arxiv_https___arxiv_org_abs_2501_16283
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum frequency resampling
Tumbiolo, Emanuele
Roncallo, Simone
Macchiavello, Chiara
Maccone, Lorenzo
Quantum Physics
Computational Physics
Data Analysis, Statistics and Probability
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.
title Quantum frequency resampling
topic Quantum Physics
Computational Physics
Data Analysis, Statistics and Probability
url https://arxiv.org/abs/2501.16283