DocumentCode
1543321
Title
Nonbinary quantum stabilizer codes
Author
Ashikhmin, Alexei ; Knill, Emanuel
Author_Institution
Lucent Technol. Bell. Labs., Murray Hill, NJ, USA
Volume
47
Issue
7
fYear
2001
fDate
11/1/2001 12:00:00 AM
Firstpage
3065
Lastpage
3072
Abstract
We define and show how to construct nonbinary quantum stabilizer codes. Our approach is based on nonbinary error bases. It generalizes the relationship between self-orthogonal codes over F4 and binary quantum codes to one between self-orthogonal codes over F(q2 ) and q-ary quantum codes for any prime power q
Keywords
Galois fields; binary codes; quantum communication; binary quantum codes; coding theory; encoding algorithms; nonbinary error bases; nonbinary quantum stabilizer codes; q-ary quantum codes; self-orthogonal codes; Algorithm design and analysis; Code standards; Encoding; Fault tolerance; Galois fields; Linear code; Quantum computing; Quantum mechanics; Rain; Relativistic quantum mechanics;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.959288
Filename
959288
Link To Document