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Paper 1

An application of Khovanov homology to quantum codes

Benjamin Audoux

Year
2013
Journal
arXiv preprint
DOI
arXiv:1307.4677
arXiv
1307.4677

We use Khovanov homology to define families of LDPC quantum error-correcting codes: unknot codes with asymptotical parameters [[3^(2l+1)/sqrt(8πl);1;2^l]]; unlink codes with asymptotical parameters [[sqrt(2/2πl)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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Paper 2

Clustered error correction of codeword-stabilized quantum codes.

Li Y, Dumer I, Pryadko LP.

Year
2010
Journal
Phys Rev Lett
DOI
10.1103/physrevlett.104.190501
arXiv
-

No abstract.

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