Topological quantum codes from self-complementary self-dual graphs
Quantum Physics
2015-03-20 v1
Abstract
In this paper we present two new classes of binary quantum codes with minimum distance of at least three, by self-complementary self-dual orientable embeddings of voltage graphs and Paley graphs in the Galois field GF(pr), where p is a prime number and r is a positive integer. The parameters of two new classes of quantum codes are [[(2k+2)(8k+ 7); 2(8k^2+7k); d]] and [[(2k+2)(8k+9); 2(8k^2+9k+1); d]] respectively, where d>=3. For these quantum codes, the code rate approaches 1 as k goes to infinity.
Keywords
Cite
@article{arxiv.1503.05710,
title = {Topological quantum codes from self-complementary self-dual graphs},
author = {Avaz Naghipour and Mohammad Ali Jafarizadeh and Sedaghat Shahmorad},
journal= {arXiv preprint arXiv:1503.05710},
year = {2015}
}