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|Title:||Generalized classical and quantum signal theories on hypergroups. Part 2. Quantum signal theory|
|Authors:||Labunets, V. G.|
Chasovskikh, V. P.
|Citation:||Labunets, V. G. Generalized classical and quantum signal theories on hypergroups. Part 2. Quantum signal theory / V. G. Labunets, V. P. Chasovskikh, E. Ostheimer // Эко-потенциал. – 2016. – № 3 (15). – С. 65–71.|
|Abstract:||In this work we develop two topics in sequence and show their inter-relation. The first concerns on general notions of the classical signal theory on Abelian hypergroups. The second concerns the quantum generalized harmonic analysis of quantum signals. The basic objects of the quantum harmonic analysis based on quantum Fourier transforms (including quantum MPT) are related not to (=quantum signals) f and quantum spectra F associated with classical signals and spectra as follows: , where the Q is so-called the Weyl quantization procedure. We study classical and generalized quantum convolutions and correlations of quantum signals (Hermitean operators) and spectra .|
QUANTUM CONVOLUTIONS AND CORRELATIONS
QUANTUM SIGNAL PROCESSING
|Appears in Collections:||Эко-потенциал: журнал междисциплинарных научных публикаций|
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