Pure asymmetric quantum MDS codes from CSS construction : a complete characterization
Using the Calderbank–Shor–Steane (CSS) construction, pure q-ary asymmetric quantum error-correcting codes attaining the quantum Singleton bound are constructed. Such codes are called pure CSS asymmetric quantum maximum distance separable (AQMDS) codes. Assuming the validity of the classical maximum...
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sg-ntu-dr.10356-1024702023-02-28T19:42:45Z Pure asymmetric quantum MDS codes from CSS construction : a complete characterization Ezerman, Martianus Frederic Jitman, Somphong Kiah, Han Mao Ling, San School of Physical and Mathematical Sciences DRNTU::Science::Mathematics Asymmetric Quantum Codes MDS Codes Using the Calderbank–Shor–Steane (CSS) construction, pure q-ary asymmetric quantum error-correcting codes attaining the quantum Singleton bound are constructed. Such codes are called pure CSS asymmetric quantum maximum distance separable (AQMDS) codes. Assuming the validity of the classical maximum distance separable (MDS) Conjecture, pure CSS AQMDS codes of all possible parameters are accounted for. NRF (Natl Research Foundation, S’pore) Accepted version 2019-06-06T06:52:45Z 2019-12-06T20:55:30Z 2019-06-06T06:52:45Z 2019-12-06T20:55:30Z 2013 Journal Article Ezerman, M. F., Jitman, S., Kiah, H. M., & Ling, S. (2013). Pure asymmetric quantum MDS codes from CSS construction : a complete characterization. International Journal of Quantum Information, 11(3), 1350027-. doi:10.1142/S0219749913500275 0219-7499 https://hdl.handle.net/10356/102470 http://hdl.handle.net/10220/48567 10.1142/S0219749913500275 en International Journal of Quantum Information © 2013 World Scientific Publishing Company. Electronic version of an article published as International Journal of Quantum Information, 11, 3, 2013, 1350027-. https://doi.org/10.1142/S0219749913500275 @ copyright World Scientific Publishing Company https://www.worldscientific.com/worldscinet/ijqi 10 p. application/pdf |
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DRNTU::Science::Mathematics Asymmetric Quantum Codes MDS Codes |
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DRNTU::Science::Mathematics Asymmetric Quantum Codes MDS Codes Ezerman, Martianus Frederic Jitman, Somphong Kiah, Han Mao Ling, San Pure asymmetric quantum MDS codes from CSS construction : a complete characterization |
| description |
Using the Calderbank–Shor–Steane (CSS) construction, pure q-ary asymmetric quantum error-correcting codes attaining the quantum Singleton bound are constructed. Such codes are called pure CSS asymmetric quantum maximum distance separable (AQMDS) codes. Assuming the validity of the classical maximum distance separable (MDS) Conjecture, pure CSS AQMDS codes of all possible parameters are accounted for. |
| author2 |
School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Ezerman, Martianus Frederic Jitman, Somphong Kiah, Han Mao Ling, San |
| format |
Article |
| author |
Ezerman, Martianus Frederic Jitman, Somphong Kiah, Han Mao Ling, San |
| author_sort |
Ezerman, Martianus Frederic |
| title |
Pure asymmetric quantum MDS codes from CSS construction : a complete characterization |
| title_short |
Pure asymmetric quantum MDS codes from CSS construction : a complete characterization |
| title_full |
Pure asymmetric quantum MDS codes from CSS construction : a complete characterization |
| title_fullStr |
Pure asymmetric quantum MDS codes from CSS construction : a complete characterization |
| title_full_unstemmed |
Pure asymmetric quantum MDS codes from CSS construction : a complete characterization |
| title_sort |
pure asymmetric quantum mds codes from css construction : a complete characterization |
| publishDate |
2019 |
| url |
https://hdl.handle.net/10356/102470 http://hdl.handle.net/10220/48567 |
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1759856346196344832 |