Bring's code[1]

Description

Also called a small stellated dodecahedron code. 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

Cousin

  • Polytope code — The stellated dodecahedron quantum code and related codes listed in [1; Table 1] arranges qubits and stabilizer generators on polytopes.

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
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Zoo Code ID: stellated_dodecahedron_css

Cite as:
“Bring's code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/stellated_dodecahedron_css
BibTeX:
@incollection{eczoo_stellated_dodecahedron_css, title={Bring's code}, booktitle={The Error Correction Zoo}, year={2023}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/stellated_dodecahedron_css} }
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Cite as:

“Bring's code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/stellated_dodecahedron_css

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/quantum/qubits/topological/surface/two_dim/stellated_dodecahedron_css.yml.