We use Khovanov homology to define families of LDPC quantum error-correcting codes: unknot codes with asymptotical parameters ; unlink codes with asymptotical parameters and -torus link codes with asymptotical parameters where .
Accepté le :
Publié le :
DOI : 10.4171/aihpd/6
Publié le :
DOI : 10.4171/aihpd/6
Classification :
81-XX, 57-XX, 94-XX
Mots-clés : quantum codes, CSS codes, LDPC codes, Khovanov homology
Mots-clés : 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 = {http://archive.numdam.org/articles/10.4171/aihpd/6/} }
Audoux, Benjamin. An application of Khovanov homology to quantum codes. Annales de l’Institut Henri Poincaré D, Tome 1 (2014) no. 2, pp. 185-223. doi : 10.4171/aihpd/6. http://archive.numdam.org/articles/10.4171/aihpd/6/
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