Construction of Binary Quantum Error-Correcting Codes from Orthogonal Array

By using difference schemes, orthogonal partitions and a replacement method, some new methods to construct pure quantum error-correcting codes are provided from orthogonal arrays. As an application of these methods, we construct several infinite series of quantum error-correcting codes including som...

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Bibliographic Details
Published in:Entropy (Basel, Switzerland) Switzerland), 2022-07, Vol.24 (7), p.1000
Main Authors: Pang, Shanqi, Xu, Hanxiao, Chen, Mengqian
Format: Article
Language:English
Subjects:
Algorithms
Analysis
Arrays
Binary codes
Binary system
Binary system (Mathematics)
Codes
Error correcting codes
Error correction
Error correction & detection
Infinite series
k-uniform states
Methods
orthogonal array
Orthogonal arrays
Orthogonal groups
orthogonal partition
Quantum computing
quantum error-correcting codes
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Summary:By using difference schemes, orthogonal partitions and a replacement method, some new methods to construct pure quantum error-correcting codes are provided from orthogonal arrays. As an application of these methods, we construct several infinite series of quantum error-correcting codes including some optimal ones. Compared with the existing binary quantum codes, more new codes can be constructed, which have a lower number of terms (i.e., the number of computational basis states) for each of their basis states.
ISSN:1099-4300
1099-4300
DOI:10.3390/e24071000