Quantum Error Correction and the Synergistic Design of Information Entropy

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

This paper explores a novel approach to quantum error correction (QEC) by synergistically integrating the principles of QEC codes with information entropy theory. Traditional QEC focuses primarily on error detection and correction, often neglecting the inherent information loss associated with quantum measurements and the potential for leveraging entropy to optimize correction strategies. We propose a framework where the redundancy inherent in QEC codes is actively utilized to reduce the entropy of quantum information, guided by concepts from information entropy. This approach aims to achieve more compact error correction capabilities and improved information transmission and storage efficiency, particularly in the face of noisy quantum channels. The core claim is that a coordinated design, considering both error correction and entropy, offers a superior strategy compared to conventional methods. Mathematical formulations and conceptual models are presented to illustrate this synergistic design, highlighting the potential for enhanced quantum information robustness and performance. The paper concludes with a discussion on future research directions and potential applications of this combined approach.

DOI: 10.5281/zenodo.22336267

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