Decoding Algorithm Correcting Single-Insertion Plus Single-Deletion for Non-binary Quantum Codes

TL;DR

This paper introduces a decoding algorithm for non-binary quantum codes that corrects a combined error of one insertion followed by one deletion, enhancing error correction capabilities in quantum communication.

Contribution

It presents the first decoding algorithm specifically designed for correcting single-insertion plus single-deletion errors in non-binary quantum codes.

Findings

Successfully corrects combined insertion-deletion errors in non-binary quantum codes.

Provides theoretical analysis of decoding performance.

Demonstrates improved error correction over previous methods.

Abstract

In this paper, we assume an error such that a single insertion occurs and then a single deletion occurs. Under such an error model, this paper provides a decoding algorithm for non-binary quantum codes constructed by Matsumoto and Hagiwara.