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Applications of abelian algebraic structures in quantum computation
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Group - like algebraic structures of fuzzy topographic topological mapping for siolving neuromagnetic inverse problem
Published 2006“…The purpose of this research is to establish the topological and the algebraic structures of the components of FTTM 1 and FTTM 2. …”
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Group-like algebraic structures of fuzzy topographic topological mapping for solving neuromagnetic inverse problem
Published 2006“…The purpose of this research is to establish the topological and the algebraic structures of the components of FTTM 1 and FTTM 2. …”
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Word problems on string diagrams
Published 2021“…Those word problems consist in determining whether two given diagrams can be related via a sequence of isotopy moves, whose nature depends on the algebraic structure at hand. We provide algorithms for the word problems for monoidal categories (or equivalently 2-categories or bicategories) and double categories. …”
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Emergent Times in Holographic Duality
Published 2023“…A key element is the emergence, in the large N limit of the boundary theory, of a type III1 von Neumann algebraic structure from the type I boundary operator algebra and the half-sided modular translation structure associated with it. …”
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Comparing two cohomological obstructions for contextuality, and a generalised construction of quantum advantage with shallow circuits
Published 2021“…Their approach exploits the algebraic structure of the Pauli operators and their qudit generalisations known as Weyl operators. …”
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Mathematical aspects of selected block ciphers
Published 2015“…The findings of the thesis can be divided into the following main contributions: an overview of the different types of block ciphers primitives are given, the block ciphers are explored in terms of their underlying algebraic structure operations, and the algebraic primitives used in block ciphers design are evaluated from their security and efficiency aspects and then compared with random substitution boxes (S-boxes). …”
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The theory of exponential differential equations
Published 2006“…The theory consists of a description of the algebraic structure on the solution sets together with necessary and sufficient conditions for a system of equations to have solutions. …”
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Improved Algebraic Cryptanalysis of the Reduced-Round Advanced Encryption Standard
Published 2011“…We study AES specifications and also the algebraic structure for AES over Galois Fields GF(2) and GF(28). …”
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Bornological structures on some algebraic systems
Published 2018“…This work concerns the notion of determining the boundedness of some algebraic structures such as groups and rings. Firstly, a new structure bornological semigroup is considered to determine the boundedness of algebraic structure semigroups. …”
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Picturing resources in concurrency
Published 2018“…In this thesis, we recognise them as a fundamental algebraic structure of concurrency and use them as an axiomatic framework. …”
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Heterotic string compactification and quiver gauge theory on toric geometry
Published 2016“…We generalise the results for quiver theories with low block numbers, revealing an new intriguing algebraic structure underlying a class of possible superconformal fixed points. …”
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Algebraic study of fuzzy finite switchboard automata
Published 2020“…Further, the general algebraic structure such as complete residuated lattices (CRL) has been utilized to enhance the membership grade of the fuzzy finite switchboard automata (FFSA). …”
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Thesis