Open AccessError bases, group algebra and quantum codes
Author(s) -
Zhuo Li,
Lijuan Xing
Publication year - 2013
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.62.130306
Subject(s) - notation , algebra over a field , group (periodic table) , quantum convolutional code , group algebra , quantum , computer science , quantum algorithm , discrete mathematics , mathematics , quantum error correction , pure mathematics , arithmetic , quantum mechanics , physics
We find a new approach to study nice error bases and quantum error-correcting codes, namely the group algebra which gives us an algebraic notation for nice error bases and quantum codes. From this algebraic notation we establish a series of linear programming bounds on the most general quantum error-correcting codes.