Nonbinary quantum stabilizer codes

Authors
Ashikhmin, A Knill, E
Citation
A. Ashikhmin et E. Knill, Nonbinary quantum stabilizer codes, IEEE INFO T, 47(7), 2001, pp. 3065-3072
Citations number
25
Categorie Soggetti
Information Tecnology & Communication Systems
Journal title
IEEE TRANSACTIONS ON INFORMATION THEORY
ISSN journal
00189448 → ACNP
Volume
47
Issue
7
Year of publication
2001
Pages
3065 - 3072
Database
ISI
SICI code
0018-9448(200111)47:7<3065:NQSC>2.0.ZU;2-8
Abstract
We define and show how to construct nonbinary quantum stabilizer codes. Our approach is based on nonbinary error bases. It generalizes the relationshi p between self-orthogonal codes over F-4 and binary quantum codes to one be tween self-orthogonal codes over F-q2 and q-ary quantum codes for any prime power q.