REVIEW 1 cited by
Quantum error-correcting codes from matrix-product codes related to quasi-orthogonal and quasi-unitary matrices
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Quantum error-correcting codes from matrix-product codes related to quasi-orthogonal and quasi-unitary matrices
read the original abstract
Matrix-product codes over finite fields are an important class of long linear codes by combining several commensurate shorter linear codes with a defining matrix over finite fields. The construction of matrix-product codes with certain self-orthogonality over finite fields is an effective way to obtain good $q$-ary quantum codes of large length. This article has two purposes: the first is to summarize some results of this topic obtained by the author of this article and his cooperators in [10-12]; the second is to add some new results on quasi-orthogonal matrices (resp. quasi-unitary matrices), Euclidean dual-containing (resp. Hermitian dual-containing) matrix-product codes and $q$-ary quantum codes derived from these matrix-product codes.
Forward citations
Cited by 1 Pith paper
-
Quasi-Orthogonal Stabilizer Design for Efficient Quantum Error Suppression
Quasi-orthogonal stabilizer codes relax orthogonality constraints to achieve higher logical rates and up to two orders of magnitude better error suppression under depolarizing noise.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.