EAQEC codes from s-Galois hulls decomposition of linear codes
Hui Li, Xiusheng Liu
TL;DR
This paper introduces a new method for constructing entanglement-assisted quantum error-correcting codes using s-Galois hulls decomposition of linear codes, leading to the creation of novel EAQEC codes with potentially enhanced error correction.
Contribution
It presents a novel approach to construct EAQEC codes via s-Galois hulls decomposition, expanding the toolkit for quantum error correction.
Findings
New EAQEC codes constructed using the method
Decomposition technique simplifies EAQEC code design
Potential for improved error correction performance
Abstract
Entanglement-assisted quantum error-correcting (EAQEC) codes are a subclass of quantum error-correcting codes which use entanglement as a resource. These codes can provide error correction capability higher than the codes derived from the traditional stabilizer formalism. In this paper, we first give a s-Galois hulls decomposition of linear codes over finite fields. By means of this decomposition, we provide a method to construct EAQEC codes. Using this method, we construct new EAQEC codes.
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Taxonomy
TopicsCoding theory and cryptography · Cryptography and Residue Arithmetic · Advanced Wireless Communication Techniques