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Quantum frequency resampling

Journal Article · · npj Quantum Information
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.
Research Organization:
Istituto Nazionale di Fisica Nucleare (INFN), Pavia (Italy); Università degli Studi di Pavia (Italy)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC02-07CH11359; 89243024CSC000002
OSTI ID:
2568620
Report Number(s):
FERMILAB-PUB--25-0340-SQMS-V; oai:inspirehep.net:2872763; arXiv:2501.16283
Journal Information:
npj Quantum Information, Journal Name: npj Quantum Information Journal Issue: 1 Vol. 11; ISSN 2056-6387
Publisher:
Nature Partner JournalsCopyright Statement
Country of Publication:
United States
Language:
English

References (15)

Machine Learning with Quantum Computers book January 2021
Quantum Image Processing book January 2020
A flexible representation of quantum images for polynomial preparation, image compression, and processing operations journal April 2010
A survey of quantum image representations journal December 2015
Efficient quantum interpolation of natural data journal December 2022
Simple quantum algorithm to efficiently prepare sparse states journal September 2024
Efficient state preparation for a register of quantum bits journal January 2006
Quantum generative adversarial networks journal July 2018
Quantum circuit generation for amplitude encoding using a transformer decoder journal October 2024
Quantum Random Access Memory journal April 2008
Quantum Generative Adversarial Learning journal July 2018
Communication in the Presence of Noise journal January 1949
Quantum JPEG journal December 2023
Advances in the quantum internet journal July 2022
Quantum Computing in the NISQ era and beyond journal August 2018

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