Perfect tangles

Understand

We introduce perfect tangles for modular tensor categories.

• These are intended to generalise the perfect tensors first introduced in the context of a toy model for the AdS/CFT correspondence.
• We construct perfect tangles for several categories of relevance for topological quantum computation, including the Temperley-Lieb, Fibonacci, Kuperberg spider, and Haagerup planar algebras.
• A general inductive construction proposed by Vaughan Jones for perfect tangles is also described.