The monoidal nature of the Feistel-Toffoli construction

DOI10.2989/16073606.2023.2247730zbMath1524.18039OpenAlexW4388128834MaRDI QIDQ6087854

Hans-E. Porst

Publication date: 16 November 2023

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2023.2247730

zbMATH Keywords

Toffoli gateKleisli categoryspansinternal categoryFeistel schemeconvolution monoids and Hopf monoids in monoidal categories

Mathematics Subject Classification ID

Other nonclassical models of computation (68Q09) Internal categories and groupoids (18D40) Monoidal categories, symmetric monoidal categories (18M05)

Cites Work

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• Categorical logic and type theory
• Categorical notions of fibration
• Reports of the Midwest Category Seminar
• Complexe cotangent et déformations. II
• The formal theory of hopf algebras Part I: Hopf monoids in a monoidal category
• Monoidal Functors, Species and Hopf Algebras
• From Groups to Groupoids: a Brief Survey
• The algebra of the Feistel-Toffoli construction

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