Correctable noise of Quantum Error Correcting Codes under adaptive concatenation
Quantum Physics
2008-02-27 v3
Abstract
We examine the transformation of noise under a quantum error correcting code (QECC) concatenated repeatedly with itself, by analyzing the effects of a quantum channel after each level of concatenation using recovery operators that are optimally adapted to use error syndrome information from the previous levels of the code. We use the Shannon entropy of these channels to estimate the thresholds of correctable noise for QECCs and find considerable improvements under this adaptive concatenation. Similar methods could be used to increase quantum fault tolerant thresholds.
Cite
@article{arxiv.quant-ph/0703258,
title = {Correctable noise of Quantum Error Correcting Codes under adaptive concatenation},
author = {Jesse Fern},
journal= {arXiv preprint arXiv:quant-ph/0703258},
year = {2008}
}
Comments
5 pages, no figures, RevTex4, minor changes, similar to final publication version