Constructions of $\ell$-Adic $t$-Deletion-Correcting Quantum Codes
Quantum Physics
2022-03-07 v2 Information Theory
math.IT
Abstract
We propose two systematic constructions of deletion-correcting codes for protecting quantum information. The first one works with qudits of any dimension, but only one deletion is corrected and the constructed codes are asymptotically bad. The second one corrects multiple deletions and can construct asymptotically good codes. The second one also allows conversion of stabilizer-based quantum codes to deletion-correcting codes, and entanglement assistance.
Keywords
Cite
@article{arxiv.2102.04230,
title = {Constructions of $\ell$-Adic $t$-Deletion-Correcting Quantum Codes},
author = {Ryutaroh Matsumoto and Manabu Hagiwara},
journal= {arXiv preprint arXiv:2102.04230},
year = {2022}
}
Comments
LaTeX2e, 6 pages, no figure, version 2 only corrects typos