3 papers
math.CT2025
Multicategorical Adjoints, Monadicity, and Quantum Resources
Shih-Yu Chang
This paper is the third part of a program aimed at building a unified operadic and multicategorical foundation for operator theory and quantum processes. Building on the multicateg…
math.CT2025
Composition and Coherence: The Syntax of Operator Networks
Shih-Yu Chang
Coherence is a central issue in category theory and multicategory theory, ensuring that formally distinct compositions of morphisms, such as tensor reorderings or diagrammatic rewi…
math.CT2025
HilbMult: A Banach-Enriched Multicategory for Operator Algebras
Shih-Yu Chang
Category and multicategory theory provide abstract frameworks for describing structures and their compositions, with multicategories extending traditional categories to handle mult…