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arXiv · 1006.1694

Pure Asymmetric Quantum MDS Codes from CSS Construction: A Complete Characterization

Martianus Frederic Ezerman·Somphong Jitman·Han Mao Kiah·San Ling
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Abstract

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 MDS Conjecture, pure CSS AQMDS codes of all possible parameters are accounted for.

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Martianus Frederic Ezerman, Somphong Jitman, Han Mao Kiah, San Ling. 2013-05-14. Pure Asymmetric Quantum MDS Codes from CSS Construction: A Complete Characterization. https://doi.org/10.1142/s0219749913500275

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