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 ...

The general-purpose drawing package TikZ can be used to typeset commutative diagrams and other kinds of mathematical pictures, generating high-quality results. This TikZ library facilitates the ...

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 ...

The prediction of protein-nucleic acid binding affinity is a critical challenge in biology and drug discovery. Accurate machine learning predictions rely on deciphering both intermolecular and ...

Supporting your GCSEs, Scottish Nationals and Highers revision. Explore quizzes, study guides and more content based on past papers. Explore our solar system, find out what life is like as an ...