Category-based quantum code 

Root code for the Category Kingdom

Description

Encodes a finite-dimensional logical Hilbert space into a physical Hilbert space associated with a finite category. Codes on modular fusion categories are often associated with a particular topological quantum field theory (TQFT), as the data of such theories is described by such categories.

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  • Group-based quantum code — Category quantum codes whose physical spaces are constructed using a finite group as the category are group codes.
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Zoo Code ID: category_quantum

Cite as:
“Category-based quantum code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/category_quantum
BibTeX:
@incollection{eczoo_category_quantum, title={Category-based quantum code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/category_quantum} }
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Permanent link:
https://errorcorrectionzoo.org/c/category_quantum

Cite as:

“Category-based quantum code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/category_quantum

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