English

Construction of quantum codes based on self-dual orientable embeddings of complete multipartite graphs complete multipartite graphs

Quantum Physics 2015-07-07 v1 Combinatorics

Abstract

This paper presents four new classes of binary quantum codes with minimum dis- tance 3 and 4, namely Class-I, Class-II, Class-III and Class-IV. The classes Class-I and Class-II are constructed based on self-dual orientable embeddings of the com- plete graphs K4r+1 and K4s and by current graphs and rotation schemes. and s are both divisible by 4.

Keywords

Cite

@article{arxiv.1507.01536,
  title  = {Construction of quantum codes based on self-dual orientable embeddings of complete multipartite graphs complete multipartite graphs},
  author = {Avaz Naghipour and Mohammad Ali Jafarizadeh and Sedaghat Shahmorad},
  journal= {arXiv preprint arXiv:1507.01536},
  year   = {2015}
}

Comments

16 pages, 2 figures. arXiv admin note: substantial text overlap with arXiv:1503.05710