This study investigates the frame potential and expressiveness of commutative quantum circuits. Based on the Fourier series representation of these circuits, we express quantum expectation and ...
Abstract: Many kinds of codes which possess two cycle structures over two special finite commutative chain rings, such as ${\mathbb {Z}}_{2}{\mathbb {Z}}_{4}$ -additive cyclic codes and quasi-cyclic ...
Abstract: In this paper we introduce and study the algebraic generalization of non commutative convolutional neural networks. We leverage the theory of algebraic signal processing to model ...
ABSTRACT: Using elementary Mother space of type e M , we construct semiring N , ring Z and field Q of extended numbers inculuding natural numbers ℕ , rational integers ℤ and rational numbers ℚ . We ...
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