Bring's code[1]
Also known as Small stellated dodecahedron code.
Description
A \([[30,8,3]]\) hyperbolic surface code on a quotient of the \(\{5,5\}\) hyperbolic tiling called Bring's curve. Its qubits and stabilizer generators lie on the vertices of the small stellated dodecahedron. Admits a set of weight-five stabilizer generators.
Parents
Cousins
- Polytope code — Bring's code and related codes listed in [1; Table 1] arrange qubits and stabilizer generators on polytopes.
- Surface-17 code — Bring's code and the surface-17 code have been numerically [1].
References
- [1]
- J. Conrad et al., “The small stellated dodecahedron code and friends”, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, 20170323 (2018) arXiv:1712.07666 DOI
Page edit log
- Victor V. Albert (2023-02-05) — most recent
Cite as:
“Bring's code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/stellated_dodecahedron_css