The minimum distance of classical and quantum turbo-codes
Quantum Physics
2011-09-02 v1
Abstract
We present a theory of quantum stabilizer turbo-encoders with unbounded minimum distance. This theory is presented under a framework common to both classical and quantum turbo-encoding theory. The main conditions to have an unbounded minimum distance are that the inner seed encoder has to be recursive, and either systematic or with a totally recursive truncated decoder. This last condition has been introduced in order to obtain a theory viable in the quantum stabilizer case, since it was known that in this case the inner seed encoder could not be recursive and systematic in the same time.
Cite
@article{arxiv.1109.0215,
title = {The minimum distance of classical and quantum turbo-codes},
author = {Mamdouh Abbara and Jean-Pierre Tillich},
journal= {arXiv preprint arXiv:1109.0215},
year = {2011}
}