On the Construction of Quantum MDS Codes
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DOI: 10.1007/s10773-018-3867-3
Abstract: Quantum maximal-distance-separable (MDS) codes form an important class of quantum codes. The paper is devoted to the construction of new quantum MDS codes based on classical constacyclic codes and cyclic codes over Fq2$\mathbb {F}_{q^{2}}$. We… read more here.
Keywords: mds codes; quantum mds; construction quantum; quantum ... See more keywords
New Entanglement-Assisted Quantum MDS Codes Derived From Generalized Reed-Solomon Codes
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DOI: 10.1007/s10773-020-04403-6
Abstract: Entanglement-assisted quantum error-correcting codes (abbreviate to EAQECCs) expand the usual paradigm of quantum error correction by allowing two parties to make use of pre-shared entanglement. It is well-known that we can construct an EAQECC from… read more here.
Keywords: assisted quantum; reed solomon; quantum mds; generalized reed ... See more keywords
Quantum MDS codes from BCH constacyclic codes
Sign Up to like & getrecommendations! Published in 2018 at "Quantum Information Processing"
DOI: 10.1007/s11128-018-2049-9
Abstract: One central theme in quantum error correction is to construct quantum codes that have large minimum distances. It has been a great challenge to construct new quantum maximum-distance-separable (MDS) codes. Recently, some quantum MDS codes… read more here.
Keywords: mds codes; quantum mds; constacyclic codes; codes bch ... See more keywords