DocumentCode
788452
Title
Beyond stabilizer codes II: Clifford codes
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
2396
Lastpage
2399
Abstract
For pt. I see ibid., vol.48, no.8, p.2392-95 (2002). Knill (1996) introduced a generalization of stabilizer codes, called Clifford codes. It remained unclear whether or not Clifford codes can be superior to stabilizer codes. We show that Clifford codes are stabilizer codes provided that the abstract error group has an Abelian index group. In particular, if the errors are modeled by tensor products of Pauli matrices, then the associated Clifford codes are necessarily stabilizer codes.
Keywords
binary codes; error correction codes; group theory; matrix algebra; quantum computing; Abelian index group; Clifford codes; Pauli matrices; abstract error group; binary stabilizer codes; quantum error control codes; stabilizer codes; tensor products; Associate members; Computer errors; Computer science; Error correction; Error correction codes; Information theory; Protection; Quantum computing; Quantum mechanics; Tensile stress;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT/2002.800473
Filename
1019850
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