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1 I2M - Institut de Mathématiques de Marseille

Abstract : We use Khovanov homology to define families of LDPC quantum error-correcting codes: unknot codes with asymptotical parameters 3^2l+1-sqrt8{\pi}l;1;2^l; unlink codes with asymptotical parameters sqrt2-2{\pi}l6^l;2^l;2^l and 2,l-torus link codes with asymptotical parameters n;1;d n where d n>\sqrtn-1.62.

keyword : LDPC codes quantum codes Khovanov homology





Author: Benjamin Audoux -

Source: https://hal.archives-ouvertes.fr/



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