DocumentCode
1173423
Title
A finite Gilbert-Varshamov bound for pure stabilizer quantum codes
Author
Feng, Keqin ; Ma, Zhi
Author_Institution
Dept. of Math. Sci., Tsinghua Univ., Beijing, China
Volume
50
Issue
12
fYear
2004
Firstpage
3323
Lastpage
3325
Abstract
A finite Gilbert-Varshamov (GV) bound for pure stabilizer (binary and nonbinary) quantum error correcting codes is presented in analogy to the GV bound for classical codes by using several enumerative results in finite unitary geometry. From this quantum GV bound we obtain several new binary quantum codes in a nonconstructive way having better parameters than the known codes.
Keywords
binary codes; error correction codes; geometry; finite Gilbert-Varshamov bound; finite unitary geometry; nonbinary error correcting codes; pure stabilizer quantum codes; Error correction codes; Geometry; Hamming weight; Information security; Information theory; Laboratories; Quantum mechanics; Sufficient conditions; 211;Varshamov; 65; Finite fields; GV; bound; finite unitary geometry; quantum Gilbert&#; quantum codes;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2004.838088
Filename
1362919
Link To Document