Quantum Deletion Codes derived from Classical Deletion Codes (Extended Abstract)
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- August 2022
- DOI:
- 10.48550/arXiv.2208.05699
- arXiv:
- arXiv:2208.05699
- Bibcode:
- 2022arXiv220805699H
- Keywords:
-
- Computer Science - Information Theory;
- Computer Science - Discrete Mathematics;
- Mathematics - Combinatorics;
- Quantum Physics