Nonbinary quantum stabilizer codes

Nonbinary quantum stabilizer codes

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 F/sub 4/ and binary quantum codes to one between self-orthogonal codes over F(q/sup 2/) and q-ary quantum codes f...

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Veröffentlicht in:IEEE transactions on information theory 2001-11, Vol.47 (7), p.3065-3072
Hauptverfasser: Ashikhmin, A., Knill, E.
Format: Artikel
Sprache:eng
Schlagworte:
Codes
Construction
Errors
Galois fields
Information theory
Mathematical analysis
Quantum theory
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Zusammenfassung: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 F/sub 4/ and binary quantum codes to one between self-orthogonal codes over F(q/sup 2/) and q-ary quantum codes for any prime power q.
ISSN:0018-9448
1557-9654
DOI:10.1109/18.959288