Generalized color code[1]
Description
Member of a family of non-Abelian topological codes, defined by a finite group \( G \), that serves as a generalization of the color code (for which \(G=\mathbb{Z}_2\)).
Parents
- Group-based quantum code
- Topological code — Quantum-double code Hamiltonians admit topological phases associated with finite groups \(G\).
Cousins
- Quantum-double code — Generalized color code for group \(G\) on the 4.8.8 lattice is equivalent to a \(G\) quantum double model and another \(G/[G,G]\) quantum double model defined using the abelianization of \(G\).
- Color code — The generalized color code for \(G=\mathbb{Z}_2\) reduces to the color code.
References
- [1]
- C. G. Brell, “Generalized color codes supporting non-Abelian anyons”, Physical Review A 91, (2015) arXiv:1408.6238 DOI
Page edit log
- Victor V. Albert (2022-12-31) — most recent
Cite as:
“Generalized color code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/generalized_color