DocumentCode :
1248032
Title :
The Nonexistence of a ![[[{13,5,4}]]](/images/tex/19772.gif)
-Quantum Stabilizer Code
Author :
Bierbrauer, Jürgen ; Fears, Richard ; Marcugini, Stefano ; Pambianco, Fernanda
Author_Institution :
Dept. of Math. Sci., Michigan Technol. Univ., Houghton, MI, USA
Volume :
57
Issue :
7
fYear :
2011
fDate :
7/1/2011 12:00:00 AM
Firstpage :
4788
Lastpage :
4793
Abstract :
One of the oldest problems in the theory of quantum stabilizer codes is solved by proving the nonexistence of quantum [[13,5,4]]-codes.
Keywords :
error correction codes; quantum communication; quantum computing; quantum code nonexistence; quantum stabilizer code; Additives; Computers; Generators; Geometry; Information theory; Quantum mechanics; Additive code; codeline; dimension; hyperplane; quantum code; stabilizer code; strength; symplectic geometry; weight;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2011.2146430
Filename :
5895052
Link To Document :
