An application of Khovanov homology to quantum codes
Information Theory
2017-10-31 v1 Geometric Topology
math.IT
Quantum Physics
Abstract
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.
Keywords
Cite
@article{arxiv.1307.4677,
title = {An application of Khovanov homology to quantum codes},
author = {Benjamin Audoux},
journal= {arXiv preprint arXiv:1307.4677},
year = {2017}
}
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20 pages