DocumentCode
788442
Title
Beyond stabilizer codes .I. Nice error bases
Author
Klappenecker, Andreas ; Rötteler, Martin
Author_Institution
Dept. of Comput. Sci., Texas A&M Univ., College Station, TX, USA
Volume
48
Issue
8
fYear
2002
fDate
8/1/2002 12:00:00 AM
Firstpage
2392
Lastpage
2395
Abstract
Nice error bases have been introduced by Knill (1996) as a generalization of the Pauli basis. These bases are shown to be projective representations of finite groups. We classify all nice error bases of small degree, and all nice error bases with Abelian index groups. We show that, in general, an index group of a nice error basis is necessarily solvable.
Keywords
error correction codes; group theory; quantum computing; Abelian index groups; Pauli basis; finite groups; nice error bases; projective representations; quantum computing; quantum error control codes; stabilizer codes; Algebra; Associate members; Computer errors; Computer science; Error correction; Error correction codes; Fault tolerance; Large-scale systems; Quantum computing; Two dimensional displays;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2002.800471
Filename
1019848
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