\(((n,1+n(q-1),2))_q\) union stabilizer code[1]
Description
Member of a family of \(((n,1+n(q-1),2))_q\) Galois-qudit union stabilizer codes for odd \(n\).Protection
Distance \(d=2\) implies detection of any single-qudit error.Member of code lists
Primary Hierarchy
Parents
\(((n,1+n(q-1),2))_q\) union stabilizer code
Children
The \(((5,6,2))\) code is the \(((n,1+n(q-1),2))_q\) union stabilizer code for \(n=5\) and \(q=2\) [1].
References
- [1]
- V. Arvind, P. P. Kurur, and K. R. Parthasarathy, “Nonstabilizer Quantum Codes from Abelian Subgroups of the Error Group”, (2002) arXiv:quant-ph/0210097
Page edit log
- Victor V. Albert (2026-06-08) — most recent
- Victor V. Albert (2024-03-28)
Cite as:
“\(((n,1+n(q-1),2))_q\) union stabilizer code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/arvind, arXiv:2606.11484