TL;DR
This review article provides an overview of modular categories, discussing their theoretical foundations and applications in quantum physics and linguistics, based on a talk given at a specialized workshop.
Contribution
It synthesizes existing knowledge on modular categories and highlights their relevance in quantum informatics and linguistics, serving as a comprehensive reference.
Findings
Summarizes key properties of modular categories
Connects modular categories to quantum physics applications
Links modular categories to linguistic models
Abstract
This is a review article on modular categories, extending an invited talk given at the workshop "Categorical (co)algebraic methods in quantum informatics and linguistics", Oxford, October 29-31, 2010. To appear in C. Heunen, M. Sadrzadeh, E. Grefenstette (eds.): Compositional methods in quantum physics and linguistics, Oxford University Press, 2012.
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Taxonomy
TopicsAdvanced Algebra and Logic · Constraint Satisfaction and Optimization · Logic, programming, and type systems