Title
Nonbinary quantum error-correcting codes from algebraic curves
Abstract
We give a new exposition and proof of a generalized CSS construction for nonbinary quantum error-correcting codes. Using this we construct nonbinary quantum stabilizer codes with various lengths, dimensions, and minimum distances from algebraic curves. We also give asymptotically good nonbinary quantum codes from a Garcia-Stichtenoth tower of function fields which are constructible in polynomial time.
Year
DOI
Venue
2008
10.1016/j.disc.2007.08.038
Discrete Mathematics
Keywords
Field
DocType
nonbinary quantum codes,algebraic geometric codes,nonbinary quantum codes.,polynomial time,algebraic curve
Quantum,Quantum codes,Discrete mathematics,Combinatorics,Algebra,Algebraic curve,Error detection and correction,Quantum convolutional code,Time complexity,Mathematics
Journal
Volume
Issue
ISSN
308
14
Discrete Mathematics
Citations 
PageRank 
References 
10
0.82
9
Authors
2
Name
Order
Citations
PageRank
Jon-Lark Kim131234.62
Judy Walker2100.82