Quantum Deletion Codes derived from Classical Deletion Codes (Extended Abstract)
Information Theory
2022-08-12 v1 Discrete Mathematics
Combinatorics
math.IT
Quantum Physics
Abstract
This manuscript is an extended abstract version of the paper entitled ``Quantum Deletion Codes derived from Classical Deletion Codes.'' The paper contributes to the fundamental theory for quantum deletion error-correcting codes. The paper proposes a code construction condition for a partition of classical deletion error-correcting codes to derive quantum deletion error-correcting codes. The construction methods in this paper give examples of quantum codes that can correct single-quantum deletion errors and have a code rate arbitrarily close to 1, while the previously known quantum deletion code rates are close to 0 for long length. This manuscript omits the proofs of the statements in the paper.
Cite
@article{arxiv.2208.05699,
title = {Quantum Deletion Codes derived from Classical Deletion Codes (Extended Abstract)},
author = {Manabu Hagiwara},
journal= {arXiv preprint arXiv:2208.05699},
year = {2022}
}