Category-based quantum code
This code defines 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.
Parent
Children
- Multi-fusion string-net code
- Modular-qudit code — Category quantum codes whose physical spaces are constructed using \(\mathbb{Z}_q\) as the category are modular-qudit codes.
- Galois-qudit code — Category quantum codes whose physical spaces are constructed using \(GF(q)\) as the category are Galois-qudit codes.
Cousin
- Group-based quantum code — Category quantum codes whose physical spaces are constructed using a finite group are group codes.
Page edit log
- Victor V. Albert (2022-01-08) — most recent
Cite as:
“Category-based quantum code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/category_quantum