Quantum Deletion Codes derived from Classical Deletion Codes (Extended 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.
- Pub Date:
- August 2022
- Computer Science - Information Theory;
- Computer Science - Discrete Mathematics;
- Mathematics - Combinatorics;
- Quantum Physics