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- Title
ON TWO PROBLEMS OF ASYMMETRIC QUANTUM CODES.
- Authors
RUIHU LI; GEN XU; LUOBIN GUO
- Abstract
In this paper, we discuss two problems on asymmetric quantum error-correcting codes (AQECCs). The first one is on the construction of a [[12, 1, 5/3]]2 asymmetric quantum code, we show an impure [[12, 1, 5/3 ]]2 exists. The second one is on the construction of AQECCs from binary cyclic codes, we construct many families of new asymmetric quantum codes with dz> δmax+1 from binary primitive cyclic codes of length n = 2m-1, where δmax = 2⌈m/2⌉-1 is the maximal designed distance of dual containing narrow sense BCH code of length n = 2m-1. A number of known codes are special cases of the codes given here. Some of these AQECCs have parameters better than the ones available in the literature.
- Subjects
QUANTUM error correcting codes; PROBLEM solving; BINARY codes; CYCLIC codes; PARAMETERS (Statistics); BCH codes
- Publication
International Journal of Modern Physics B: Condensed Matter Physics; Statistical Physics; Applied Physics, 2014, Vol 28, Issue 6, p1450017-1
- ISSN
0217-9792
- Publication type
Article
- DOI
10.1142/S0217979214500179