Pure States in Quantum Deletion Error-Correction

This paper discusses harnessing of pure states in the study of quantum deletion. Quantum deletion is one of the recently prominent aspects in the error model of quantum error correction codes, and pure states represent a class of quantum states widely used in the study of other error models. This study reveals that, under specific encoding and decoding operations, the possibility of deletion error-correction for pure states extends to deletion error-correction for mixed states. Through this paper, it is hoped that the understanding of quantum deletion errors deepens, contributing to the advancement of research in quantum deletion error-correction codes.