DocumentCode
3608154
Title
Two Infinite Families of Nonadditive Quantum Error-Correcting Codes
Author
Sixia Yu ; Qing Chen ; Oh, C.H.
Author_Institution
Dept. of Modern Phys., Univ. of Sci. & Technol. of China, Hefei, China
Volume
61
Issue
12
fYear
2015
Firstpage
7012
Lastpage
7016
Abstract
We construct explicitly two infinite families of genuine nonadditive 1-error correcting quantum codes and prove that their coding subspaces are 50% larger than those of the optimal stabilizer codes of the same parameters via the linear programming bound. All these nonadditive codes can be characterized by a stabilizer-like structure, and thus, their encoding circuits can be designed in a straightforward manner.
Keywords
error correction codes; linear programming; coding subspaces; linear programming bound; nonadditive quantum error-correcting codes; optimal stabilizer codes; stabilizer-like structure; Encoding; Error correction codes; Hafnium; Joints; Linear programming; Logic gates; Quantum mechanics; Quantum error-correcting codes; linear programming bound; nonadditive codes; stabilizer-like structure;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2015.2489645
Filename
7296636
Link To Document