Perfect tangles
Quantum Physics
2018-04-11 v1
Abstract
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.
Cite
@article{arxiv.1804.03199,
title = {Perfect tangles},
author = {Johannes Berger and Tobias J. Osborne},
journal= {arXiv preprint arXiv:1804.03199},
year = {2018}
}
Comments
5 + 19 pages