DocumentCode
59344
Title
Quantum Codes From Toric Surfaces
Author
Hansen, Jeffery P.
Author_Institution
Dept. of Math., Aarhus Univ., Aarhus, Denmark
Volume
59
Issue
2
fYear
2013
fDate
Feb. 2013
Firstpage
1188
Lastpage
1192
Abstract
A theory for constructing quantum error correcting codes from Toric surfaces by the Calderbank-Shor-Steane method is presented. In particular, we study the method on toric Hirzebruch surfaces. The results are obtained by constructing a dualizing differential form for the toric surface and by using the cohomology and the intersection theory of toric varieties.
Keywords
error correction codes; Calderbank-Shor-Steane method; cohomology; dualizing differential form; intersection theory; quantum code; quantum error correcting code; toric Hirzebruch surface; toric surface; toric variety; Error correction codes; Face; Frequency modulation; Lattices; Linear code; Materials; Quantum mechanics; Block codes; codes; error correction codes; quantum computing;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2012.2220523
Filename
6335475
Link To Document