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arXiv · 1804.03199

Perfect tangles

Johannes Berger·Tobias J. Osborne
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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.

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Johannes Berger, Tobias J. Osborne. 2018-04-09. Perfect tangles. https://arxiv.org/abs/1804.03199

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