An application of Khovanov homology to quantum codes
Benjamin Audoux · Annales de l’Institut Henri Poincaré D Combinatorics Physics and their Interactions · 2014
We use Khovanov homology to define families of LDPC quantum error-correcting codes: unknot codes with asymptotical parameters [[ \frac{3^{2 \ell+1}}{\sqrt{8\pi\ell}};1;2^\ell]] ; unlink codes with asymptotical parameters [[\sqrt{\frac{3}{2\pi \ell}}6^\ell;2^\ell;2^\ell ]] and (2,\ell) -torus link codes with asymptotical parameters [[n;1;d_n]] where d_n>\frac{\sqrt{n}}{1.62} .