Multi-fusion string-net code[1] 

Description

Family of codes resulting from the string-net construction but whose input is a unitary multi-fusion category (as opposed to a unitary fusion category).

Parents

Children

  • Groupoid toric code — Groupoid toric-code categories are unitary multi-fusion categories based on matrix algebras [1], so groupoid toric codes can equivalently be formulated as multi-fusion string-net codes.
  • String-net code

References

[1]
L. Chang et al., “On enriching the Levin–Wen model with symmetry”, Journal of Physics A: Mathematical and Theoretical 48, 12FT01 (2015) arXiv:1412.6589 DOI
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Zoo Code ID: enriched_string_net

Cite as:
“Multi-fusion string-net code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/enriched_string_net
BibTeX:
@incollection{eczoo_enriched_string_net, title={Multi-fusion string-net code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/enriched_string_net} }
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Permanent link:
https://errorcorrectionzoo.org/c/enriched_string_net

Cite as:

“Multi-fusion string-net code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/enriched_string_net

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/categories/enriched_string_net.yml.