Polytope code 

Description

Spherical code whose codewords are the vertices of a polytope, i.e., a geometrical figure bounded by lines, planes, and hyperplanes [1]. Polytopes in two (three) real or complex dimensions are called polygons (polyhedra).

Notes

See Polytope Wiki and webpage by R. Klitzing for lists of polytopes.

Parent

Children

Cousin

  • Bring's code — The stellated dodecahedron quantum code and related codes listed in [2; Table 1] arranges qubits and stabilizer generators on polytopes.

References

[1]
H. S. M. Coxeter. Regular polytopes. Courier Corporation, 1973.
[2]
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: polytope

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

Cite as:

“Polytope code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/polytope

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/classical/spherical/polytope/polytope.yml.