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Published in 2022 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-022-04380-3
Abstract: We axiomatize the extended operators in topological orders (possibly gravitationally anomalous, possibly with degenerate ground states) in terms of monoidal Karoubi-complete $n$-categories which are mildly dualizable and have trivial centre. Dualizability encodes the word "topological,"…
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Keywords:
topological orders;
classification topological;
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Published in 2017 at "Physical review letters"
DOI: 10.1103/physrevlett.118.080502
Abstract: Topological orders can be used as media for topological quantum computing-a promising quantum computation model due to its invulnerability against local errors. Conversely, a quantum simulator, often regarded as a quantum computing device for special…
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Keywords:
quantum simulator;
topological orders;
non abelian;