\(((5,6,2))\) qubit code[1]
Description
Six-qubit cyclic CWS code detecting a single-qubit error. Smallest nontrivial member of the \(((5+2r,3\times 2^{2r+1},2))\) qubit code family [2]. Qubit member of the \(((n, 1+n(q-1),2))_q\) Galois-qudit code family [3].
Parents
- Codeword stabilized (CWS) code
- Cyclic quantum code
- Galois-qudit non-stabilizer code — The six-qubit CWS code is a non-stabilizer qubit code [3].
- Small-distance block quantum code
References
- [1]
- E. M. Rains et al., “A Nonadditive Quantum Code”, Physical Review Letters 79, 953 (1997) arXiv:quant-ph/9703002 DOI
- [2]
- E. M. Rains, “Quantum codes of minimum distance two”, (1997) arXiv:quant-ph/9704043
- [3]
- 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 (2023-02-01) — most recent
Cite as:
“\(((5,6,2))\) qubit code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/qubit_5_6_2