Permutation-Invariant Quantum Codes for Deletion Errors
Taro Shibayama, Manabu Hagiwara · 2021
This paper presents conditions for constructing permutation-invariant quantum codes for deletion errors and provides a method for constructing them. Our codes include examples of quantum codes that can correct two or more deletion errors, which have not been studied before. We also give examples of quantum codes that can correct both multiple-qubit errors and multiple-deletion errors. We discuss a generalization of the construction of our codes at the end.