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An application of Khovanov homology to quantum codes

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arxiv 1307.4677 v1 pith:QGQ64UU6 submitted 2013-07-17 cs.IT math.GTmath.ITquant-ph

Benjamin Audoux This is my paper · ORCID
classification cs.ITmath.GTmath.ITquant-ph
keywords codesasymptoticalparameterssqrthomologykhovanovquantumapplication
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We use Khovanov homology to define families of LDPC quantum error-correcting codes: unknot codes with asymptotical parameters [[3^(2l+1)/sqrt(8{\pi}l);1;2^l]]; unlink codes with asymptotical parameters [[sqrt(2/2{\pi}l)6^l;2^l;2^l]] and (2,l)-torus link codes with asymptotical parameters [[n;1;d_n]] where d_n>\sqrt(n)/1.62.

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