Fast quantum Fourier-Weyl-Heisenberg transforms

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

doi:10.1117/12.434210

26 July 2001 Fast quantum Fourier-Weyl-Heisenberg 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/10.1117/12.434210
Event: Aerospace/Defense Sensing, Simulation, and Controls, 2001, Orlando, FL, United States

Abstract

We study the Fourier harmonic analysis of a functions on discrete 1D and nD Heisenberg-Weyl groups HW₃ and HW_2n+1, where K equals GF(2), GF(2^m), GF(p), GF(p^m) are the Galois fields, and develop fast quantum Fourier- Heisenberg-Weyl transforms on this groups.

Citation Download Citation

Valeri G. Labunets, Ekaterina V. Labunets-Rundblad, and Jaakko T. Astola "Fast quantum Fourier-Weyl-Heisenberg transforms", Proc. SPIE 4386, Photonic and Quantum Technologies for Aerospace Applications III, (26 July 2001); https://doi.org/10.1117/12.434210

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