An application of Khovanov homology to quantum codes

  • Benjamin Audoux

    Technopole Chateau Gombert, Marseille, France

Abstract

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 .

Cite this article

Benjamin Audoux, An application of Khovanov homology to quantum codes. Ann. Inst. Henri Poincaré Comb. Phys. Interact. 1 (2014), no. 2, pp. 185–223

DOI 10.4171/AIHPD/6