Low-complexity quantum codes designed via codeword-stabilized framework
Quantum Physics
2012-02-23 v1
Abstract
We consider design of the quantum stabilizer codes via a two-step, low-complexity approach based on the framework of codeword-stabilized (CWS) codes. In this framework, each quantum CWS code can be specified by a graph and a binary code. For codes that can be obtained from a given graph, we give several upper bounds on the distance of a generic (additive or non-additive) CWS code, and the lower Gilbert-Varshamov bound for the existence of additive CWS codes. We also consider additive cyclic CWS codes and show that these codes correspond to a previously unexplored class of single-generator cyclic stabilizer codes. We present several families of simple stabilizer codes with relatively good parameters.
Keywords
Cite
@article{arxiv.1108.5490,
title = {Low-complexity quantum codes designed via codeword-stabilized framework},
author = {Alexey A. Kovalev and Ilya Dumer and Leonid P. Pryadko},
journal= {arXiv preprint arXiv:1108.5490},
year = {2012}
}
Comments
12 pages, 3 figures, 1 table