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- Title
Binary construction of pure additive quantum codes with distance five or six.
- Authors
Fan, YangYu; Wang, WeiLiang; Li, RuiHu
- Abstract
This paper discusses binary quantum stabilizer codes with distance five or six constructed from binary self-orthogonal codes using Steane construction. First, nineteen special binary one-generator quasi-cyclic self-orthogonal $$[pk,k]$$ codes with dual distance five or six for $$12 \le k \le 16$$ are built. Second, a feasible algorithm for searching subcodes of linear codes and an extension strategy for pairs of nested self-orthogonal codes are proposed, then thirty-eight code pairs are designed from obtained quasi-cyclic self-orthogonal codes. Third, thirty-two good binary quantum stabilizer codes are constructed from the code pairs obtained through Steane construction. Thirty of them are previously known codes. In particular, two codes $$[[52,31,6]]$$ and $$[[56,34,6]]$$ have improved codes $$[[52,31,5]]$$ and $$[[56,34,5]]$$ constructed by quaternary construction, and thus, they are record breaking ones.
- Subjects
QUANTUM theory; QUANTUM information theory; FEASIBILITY studies; ALGORITHMS; LINEAR codes
- Publication
Quantum Information Processing, 2015, Vol 14, Issue 1, p183
- ISSN
1570-0755
- Publication type
Article
- DOI
10.1007/s11128-014-0848-1