The paper argues that a braided fusion 2-category, with anyon types as objects and fusion spaces as 1-morphisms, unifies anyonic hardware with topological quantum computing models.
Monoidal 2-Categories: A Review
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abstract
We review the complete definition of monoidal 2-categories and recover Kapranov and Voevodsky's definition from the algebraic definition of weak 3-category(or tricategory).
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The 2-Category of Topological Quantum Computation
The paper argues that a braided fusion 2-category, with anyon types as objects and fusion spaces as 1-morphisms, unifies anyonic hardware with topological quantum computing models.