Distributed Information Theory for Quantum Error Correction

Jincheng Zhang

Published Aug 28, 2026• 0 citations

Abstract

Quantum error correction (QEC) is crucial for reliable quantum computation, but traditional approaches often suffer from scalability issues. This work introduces a novel distributed information theory protocol for QEC, departing from classical distributed coding paradigms. The core idea is to utilize correlated information sharing across a network of nodes, exploiting quantum entanglement to achieve greater efficiency and resilience to errors. We present a framework where the redundancy is distributed intelligently, minimizing the required resources per qubit while maintaining high correction capabilities. The protocol's performance is analyzed theoretically, demonstrating its potential to significantly improve the practicality of QEC in large-scale quantum systems. We explore the key mathematical concepts underpinning this approach, including the distribution of quantum states, the quantification of information, and the analysis of error propagation within the distributed network. The theoretical analysis focuses on characterizing the rate of information transfer and the fidelity of the corrected state, providing a framework for optimizing the protocol's parameters.

DOI: 10.5281/zenodo.22136298

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