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Proceedings Paper

Is the brain a Clifford algebra quantum computer?
Author(s): Valeri G. Labunets; Ekaterina V. Labunets-Rundblad; Jaakko T. Astola
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Paper Abstract

We propose a novel method to calculate invariants of colour and multicolour images. It employs an idea of classical and quantum hypercomplex numbers and combines it with the idea of classical and quantum number theoretical transforms over hypercomplex algebras, which reduce the computational complexity of the global recognition algorithm for nD k-multispectral images from O(knNn+1)to O(kNn log N) and to O(kn log N), respectively. Our hypotheses are 1) the brain of primates calculates hypercomplex-valued invariants of an image during recognizing, 2) visual systems of animals with different evolutionary history use different hypercomplex algebras. The main goal of the paper is to show that quantum Clifford algebras can be used to solve pattern recognition in multispectral environment in a natural and effective manner.

Paper Details

Date Published: 6 November 2001
PDF: 12 pages
Proc. SPIE 4453, Materials and Devices for Photonic Circuits II, (6 November 2001); doi: 10.1117/12.447643
Show Author Affiliations
Valeri G. Labunets, Urals State Technical Univ. (Finland)
Ekaterina V. Labunets-Rundblad, Urals State Technical Univ. (Finland)
Jaakko T. Astola, Tampere Univ. of Technology (Finland)

Published in SPIE Proceedings Vol. 4453:
Materials and Devices for Photonic Circuits II
Mario Nicola Armenise, Editor(s)

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