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The Quantum Fourier Transformation (QFT) is a well-known subroutine for algorithms on qubit-based universal quantum computers.
An algorithm for machine calculation of complex fourier series
J.W. Cooley and J.W. Tukey · 1965
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An approximate fourier transform useful in quantum factoring
D. Coppersmith · 1994
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Quantum measurements and the abelian stabilizer problem
A. Yu. Kitaev · 1995
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Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
Peter W. Shor · 1997
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Discrete cosine transforms on quantum computers
A. Klappenecker and M. Rotteler · 2001
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Quantum image processing (quip)
Glenn J. Beach, Chris Lomont, and Charles J. Cohen · 2003
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The design and implementation of fftw3
M Frigo and SG Johnson · 2005
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Synthesis of quantum-logic circuits
V.V. Shende, S.S. Bullock, and I.L. Markov · 2006
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Quantum Computation and Quantum Information
M. A. Nielsen and I. L. Chuang · 2010
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Quantum-state preparation with universal gate decompositions
Martin Plesch and Časlav Brukner · 2011
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A watermark strategy for quantum images based on quantum fourier transform
Wei-Wei Zhang, Fei Gao, Bin Liu, Qiao-Yan Wen, and Hui Chen · 2013
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Quantum image processing and its application to edge detection: Theory and experiment
Xi-Wei Yao, Hengyan Wang, Zeyang Liao, Ming-Cheng Chen, Jian Pan, Jun Li, Kechao Zhang, Xingcheng Lin, Zhehui Wang, and Zhihuang Luo et al · 2017
Cited alongside, same era.
Fast parallel multidimensional fft using advanced mpi
Lisandro Dalcin, Mikael Mortensen, and David E. Keyes · 2019
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Variational quantum algorithms for nonlinear problems
Michael Lubasch, Jaewoo Joo, Pierre Moinier, Martin Kiffner, and Dieter Jaksch · 2020
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Quantum image processing: Opportunities and challenges
Yue Ruan, Xiling Xue, and Yuanxia Shen · 2021
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Toward implementing efficient image processing algorithms on quantum computers
Fei Yan, Salvador E. Venegas-Andraca, and Kaoru Hirota · 2022
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Efficient quantum interpolation of natural data
Sergi Ramos-Calderer · 2022
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