Open AccessConstruction of entanglement-assisted quantum MDS codes
Author(s) -
Guanmin Guo,
Ruihu Li,
Youliang Zheng,
Mao Zhang
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1684/1/012040
Subject(s) - quantum entanglement , computer science , construct (python library) , block code , luby transform code , quantum , mathematics , discrete mathematics , quantum mechanics , physics , linear code , algorithm , computer network , decoding methods
Entanglement-assisted quantum error correction codes (EAQEECs) can improve the reliability of transmission, which make use of pre-existing entanglement between two parties. In this paper, we construct two classes of entanglement-assisted quantum maximum distance separable (EAQMDS) codes via generalized Reed-Solomon (GRS) codes. Consequently, the results show that some of these EAQMDS codes have much larger minimum distance than ones available in the literature. Meanwhile, many of these EAQMDS codes are new in the sense that the parameters of these codes are not covered by the previously known ones. (Abstract)