Methods of calculation of the 2-D quantum Fourier transform of images

Artyom M. Grigoryan; Alexis A. Gomez; Sos S. Agaian

doi:10.1117/12.3013940

7 June 2024 Methods of calculation of the 2-D quantum Fourier transform of images

Artyom M. Grigoryan, Alexis A. Gomez, Sos S. Agaian

Proceedings Volume 13033, Multimodal Image Exploitation and Learning 2024; 130330J (2024) https://doi.org/10.1117/12.3013940
Event: SPIE Defense + Commercial Sensing, 2024, National Harbor, Maryland, United States

Conference Poster

Abstract

The quantum Fourier transform (QFT) is the important operation in quantum computing. It is used in many algorithms, including the Shor's quantum algorithm for finding the prime factors of integers. Color image encryption, processing and representation of quantum images are areas where the QFT is also used. In this paper, we discuss the quantum superpositions of the images and methods of calculation of the analogues of the quantum 2-D discrete Fourier transform of images. The quantum algorithms and circuits will be described, and examples of calculation of the 2-D QFT of images of 8×8 and 16×16 pixels will be given in detail.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Artyom M. Grigoryan, Alexis A. Gomez, and Sos S. Agaian "Methods of calculation of the 2-D quantum Fourier transform of images", Proc. SPIE 13033, Multimodal Image Exploitation and Learning 2024, 130330J (7 June 2024); https://doi.org/10.1117/12.3013940

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