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Entanglement-assisted quantum MDS codes constructed from constacyclic codes
March 01, 2018 Β· Declared Dead Β· π Quantum Information Processing
"No code URL or promise found in abstract"
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Authors
Xiaojing Chen, Shixin Zhu, Xiaoshan Kai
arXiv ID
1803.00262
Category
cs.IT: Information Theory
Citations
63
Venue
Quantum Information Processing
Last Checked
5 months ago
Abstract
Recently, entanglement-assisted quantum error correcting codes (EAQECCs) have been constructed by cyclic codes and negacyclic codes. In this paper, by analyzing the cyclotomic cosets in the defining set of constacyclic codes, we constructed three classes of new EAQECCs which satisfy the entanglement-assisted quantum Singleton bound. Besides, three classes of EAQECCs with maximal entanglement from constacyclic codes are constructed in the meanwhile.
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