Fast quantum nD Fourier and radon transforms

Valeri G. Labunets; Ekaterina V. Labunets-Rundblad; Jaakko T. Astola

doi:10.1117/12.434211

26 July 2001 Fast quantum nD Fourier and radon transforms

Valeri G. Labunets, Ekaterina V. Labunets-Rundblad, Jaakko T. Astola

Proceedings Volume 4386, Photonic and Quantum Technologies for Aerospace Applications III; (2001) https://doi.org/10.1117/12.434211
Event: Aerospace/Defense Sensing, Simulation, and Controls, 2001, Orlando, FL, United States

Abstract

Fast Classical and quantum algorithms are introduced for a wide class of non-separable nD discrete unitary K- transforms(DKT)K_Nn. They require a number of 1D DKT K_n smaller than in the Cooley-Tukey radix-p FFT-type approach. The method utilizes a decomposition of the nDK- transform into a product of original nD discrete Radon Transform and of a family parallel/independ 1DK-transforms. If the nDK-transform has a separable kernel, that again in this case our approach leads to decrease of multiplicative complexity by factor of n compared to the tow/column separable Cooley-Tukey p-radix approach.

Citation Download Citation

Valeri G. Labunets, Ekaterina V. Labunets-Rundblad, and Jaakko T. Astola "Fast quantum nD Fourier and radon transforms", Proc. SPIE 4386, Photonic and Quantum Technologies for Aerospace Applications III, (26 July 2001); https://doi.org/10.1117/12.434211

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