Quantum Reed-Muller Codes
Quantum Physics
2008-02-03 v2
Abstract
A set of quantum error correcting codes based on classical Reed-Muller codes is described. The codes have parameters [[n,k,d]] = [[2^r, 2^r - C(r,t) - 2 sum_{i=0}^{t-1} C(r,i), 2^t + 2^{t-1} ]].
Keywords
Cite
@article{arxiv.quant-ph/9608026,
title = {Quantum Reed-Muller Codes},
author = {Andrew Steane},
journal= {arXiv preprint arXiv:quant-ph/9608026},
year = {2008}
}
Comments
9 pages LaTeX. Replaced version corrects an important oversight. Further information at http://eve.physics.ox.ac.uk/ASGhome.html