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Qldpc Advanced Quantum Codes Quantum Error Correction Fault Tolerance Quantum Compilation Routing Architecture Quantum Optimization

An application of Khovanov homology to quantum codes

arXiv

Authors: Benjamin Audoux

Year

2013

Paper ID

33641

Status

Preprint

Abstract Read

~2 min

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Abstract

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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[1] DOI https://doi.org/arXiv:1307.4677 [2] arXiv https://arxiv.org/abs/1307.4677 [3] Publisher https://arxiv.org/abs/1307.4677

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