no. 2
An application of Khovanov homology to quantum codes
Annales de l’Institut Henri Poincaré D, Volume 1 (2014) no. 2, pp. 185-223

We use Khovanov homology to define families of LDPC quantum error-correcting codes: unknot codes with asymptotical parameters [[3 2ℓ+1 8πℓ;1;2 ℓ ]]; unlink codes with asymptotical parameters [[3 2πℓ6 ℓ ;2 ℓ ;2 ℓ ]] and (2,ℓ)-torus link codes with asymptotical parameters [[n;1;d n ]] where d n >n 1.62.

Accepted:
Published online:
DOI: 10.4171/aihpd/6
Classification: 81-XX, 57-XX, 94-XX
Keywords: quantum codes, CSS codes, LDPC codes, Khovanov homology 
@article{AIHPD_2014__1_2_185_0,
     author = {Audoux, Benjamin},
     title = {An application of {Khovanov} homology to quantum codes},
     journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D},
     pages = {185--223},
     volume = {1},
     number = {2},
     year = {2014},
     doi = {10.4171/aihpd/6},
     mrnumber = {3229943},
     zbl = {1309.81055},
     language = {en},
     url = {https://www.numdam.org/articles/10.4171/aihpd/6/}
}
TY  - JOUR
AU  - Audoux, Benjamin
TI  - An application of Khovanov homology to quantum codes
JO  - Annales de l’Institut Henri Poincaré D
PY  - 2014
SP  - 185
EP  - 223
VL  - 1
IS  - 2
UR  - https://www.numdam.org/articles/10.4171/aihpd/6/
DO  - 10.4171/aihpd/6
LA  - en
ID  - AIHPD_2014__1_2_185_0
ER  - 
%0 Journal Article
%A Audoux, Benjamin
%T An application of Khovanov homology to quantum codes
%J Annales de l’Institut Henri Poincaré D
%D 2014
%P 185-223
%V 1
%N 2
%U https://www.numdam.org/articles/10.4171/aihpd/6/
%R 10.4171/aihpd/6
%G en
%F AIHPD_2014__1_2_185_0
Audoux, Benjamin. An application of Khovanov homology to quantum codes. Annales de l’Institut Henri Poincaré D, Volume 1 (2014) no. 2, pp. 185-223. doi: 10.4171/aihpd/6

Cited by Sources: