Constructions of new nonbinary quantum codes
Two new families of good nonbinary quantum codes are constructed in this paper. The first one can be regarded as a generalization of [Theorem 3.2, X. Kai, S. Zhu and Y. Tang, Phys. Rev. A 88, 012326 (2013)], in the sense that we drop the constraint q≡1 (mod 4). The later one is a quantum maximal-dis...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
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2014
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| Online Access: | https://hdl.handle.net/10356/99869 http://hdl.handle.net/10220/23925 |
| _version_ | 1811682186511777792 |
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| author | Hu, Xueqin Zhang, Guanghui Chen, Bocong |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Hu, Xueqin Zhang, Guanghui Chen, Bocong |
| author_sort | Hu, Xueqin |
| collection | NTU |
| description | Two new families of good nonbinary quantum codes are constructed in this paper. The first one can be regarded as a generalization of [Theorem 3.2, X. Kai, S. Zhu and Y. Tang, Phys. Rev. A 88, 012326 (2013)], in the sense that we drop the constraint q≡1 (mod 4). The later one is a quantum maximal-distance-separable (MDS) code. Compared the parameters of our quantum MDS codes with the parameters of quantum MDS codes available in the literature, the quantum MDS codes exhibited here have bigger minimum distance. |
| first_indexed | 2024-10-01T03:52:50Z |
| format | Journal Article |
| id | ntu-10356/99869 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:52:50Z |
| publishDate | 2014 |
| record_format | dspace |
| spelling | ntu-10356/998692023-02-28T19:41:46Z Constructions of new nonbinary quantum codes Hu, Xueqin Zhang, Guanghui Chen, Bocong School of Physical and Mathematical Sciences DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory Two new families of good nonbinary quantum codes are constructed in this paper. The first one can be regarded as a generalization of [Theorem 3.2, X. Kai, S. Zhu and Y. Tang, Phys. Rev. A 88, 012326 (2013)], in the sense that we drop the constraint q≡1 (mod 4). The later one is a quantum maximal-distance-separable (MDS) code. Compared the parameters of our quantum MDS codes with the parameters of quantum MDS codes available in the literature, the quantum MDS codes exhibited here have bigger minimum distance. Accepted version 2014-10-01T01:41:10Z 2019-12-06T20:12:38Z 2014-10-01T01:41:10Z 2019-12-06T20:12:38Z 2014 2014 Journal Article Hu, X., Zhang, G., & Chen, B. (2014). Constructions of new nonbinary quantum codes. International journal of theoretical physics, 54(1), 92-99. https://hdl.handle.net/10356/99869 http://hdl.handle.net/10220/23925 10.1007/s10773-014-2204-8 180565 en International journal of theoretical physics © 2014 Springer Science+Business Media New York. This is the author created version of a work that has been peer reviewed and accepted for publication by International Journal of Theoretical Physics, Springer Science+Business Media New York. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [http://dx.doi.org/10.1007/s10773-014-2204-8]. application/pdf |
| spellingShingle | DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory Hu, Xueqin Zhang, Guanghui Chen, Bocong Constructions of new nonbinary quantum codes |
| title | Constructions of new nonbinary quantum codes |
| title_full | Constructions of new nonbinary quantum codes |
| title_fullStr | Constructions of new nonbinary quantum codes |
| title_full_unstemmed | Constructions of new nonbinary quantum codes |
| title_short | Constructions of new nonbinary quantum codes |
| title_sort | constructions of new nonbinary quantum codes |
| topic | DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory |
| url | https://hdl.handle.net/10356/99869 http://hdl.handle.net/10220/23925 |
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