A Note on Quantum Hamming Bound
Quantum Physics
2011-11-10 v1 Information Theory
math.IT
Abstract
Proving the quantum Hamming bound for degenerate nonbinary stabilizer codes has been an open problem for a decade. In this note, I prove this bound for double error-correcting degenerate stabilizer codes. Also, I compute the maximum length of single and double error-correcting MDS stabilizer codes over finite fields.
Cite
@article{arxiv.0711.4603,
title = {A Note on Quantum Hamming Bound},
author = {Salah A. Aly},
journal= {arXiv preprint arXiv:0711.4603},
year = {2011}
}