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Category Theory

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Category Theory

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Research Frontiers in Categorical Quantum Mechanics and Physics

Application of category theory to formalize quantum mechanics, topological quantum field theory, and categorical approaches to quantum information.

Categorical Foundations of Quantum Entanglement Networks
Monoidal Structures in Topological Quantum Field Theory
Functorial Approaches to Quantum State Spaces
Higher Categories in Gauge Theory Reformulation
Categorical Semantics of Quantum Information Flow
Operadic Structures in Quantum Process Algebras
Topos Theory and Quantum Logic Foundations
Categorical Duality in Quantum Gravity Models
Enriched Categories for Quantum Observable Dynamics
Adjoint Functors and Quantum Symmetry Breaking

All Category Theory PhD categories