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Originalsprache | Englisch |
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Publikationsstatus | Elektronisch veröffentlicht (E-Pub) - 9 Apr. 2018 |
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2018.
Publikation: Arbeitspapier/Preprint › Preprint
}
TY - UNPB
T1 - Perfect tangles
AU - Berger, Johannes
AU - Osborne, Tobias J.
N1 - 5 + 19 pages
PY - 2018/4/9
Y1 - 2018/4/9
N2 - 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.
AB - 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.
KW - quant-ph
M3 - Preprint
BT - Perfect tangles
ER -