Title
A finite Gilbert-Varshamov bound for pure stabilizer quantum codes
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.
Year
DOI
Venue
2004
10.1109/TIT.2004.838088
IEEE Transactions on Information Theory
Keywords
Field
DocType
new binary quantum code,finite gilbert-varshamov,finite fields,better parameter,classical code,varshamov,quantum gv,error correction codes,65,nonbinary error correcting codes,bound,pure stabilizer quantum code,finite unitary geometry,quantum codes,pure stabilizer quantum codes,finite gilbert-varshamov bound,quantum gilbert&#,binary codes,enumerative result,pure stabilizer,quantum error,gv,211,geometry,known code,finite field
Discrete mathematics,Finite field,Gilbert–Varshamov bound,Combinatorics,Binary code,Error detection and correction,Linear code,Quantum information science,Quantum convolutional code,Finite geometry,Mathematics
Journal
Volume
Issue
ISSN
50
12
0018-9448
Citations 
PageRank 
References 
28
1.69
4
Authors
2
Name
Order
Citations
PageRank
Keqin Feng168641.07
Zhi Ma2282.37