\([[16,4,3]]\) dodecahedral code[1]
Description
A \([[16,4,3]]\) qubit stabilizer code defined whose encoder-respecting form is the graph of vertices of a dodecahedron [1].
Rate
The code has a rate of \(1/4\), higher than that of the five-qubit perfect code.
Encoding
Low-depth encoding circuit [1].
Parents
Cousin
- Dodecahedron code — The encoder-respecting form of the \([[16,4,3]]\) dodecahedral code is the graph of vertices of a dodecahedron [1].
References
- [1]
- J. Z. Lu, A. B. Khesin, and P. W. Shor, “Universal graph representation of stabilizer codes”, (2024) arXiv:2411.14448
Page edit log
- Victor V. Albert (2024-12-13) — most recent
Cite as:
“\([[16,4,3]]\) dodecahedral code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/quantum_dodecahedron