Paper
25 May 2005 Generalized classical and quantum signal theories
E. Rundblad, V. Labunets, P. Novak
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Abstract
In this paper we develop two topics and show their inter- and cross-relation. The first centers on general notions of the generalized classical signal theory on finite Abelian hypergroups. The second concerns the generalized quantum hyperharmonic analysis of quantum signals (Hermitean operators associated with classical signals). We study classical and quantum generalized convolution hypergroup algebras of classical and quantum signals.
© (2005) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
E. Rundblad, V. Labunets, and P. Novak "Generalized classical and quantum signal theories", Proc. SPIE 5815, Quantum Information and Computation III, (25 May 2005); https://doi.org/10.1117/12.603954
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KEYWORDS
Fourier transforms

Convolution

Transform theory

Detection theory

Quantum physics

Genetical swarm optimization

Quantization

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