Topological Quantum States-Based Entanglement Preservation for Quantum Error Correction

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

This paper proposes a novel quantum error correction code leveraging the inherent entanglement preservation properties of topological quantum states. Traditional quantum error correction schemes rely on creating and maintaining fragile quantum entanglement, which is highly susceptible to environmental noise. Our approach utilizes the topologically protected nature of certain quantum states to provide a robust mechanism for error detection and correction. We formulate a code based on the controlled-Z operation within a topological qubit architecture, demonstrating a significant improvement in error correction capabilities compared to conventional approaches. Specifically, we define the code parameters, including the code rate, minimum distance, and the required number of physical qubits. We analyze the code's performance under various noise models, highlighting the enhanced resilience due to topological protection. The key innovation lies in harnessing the natural, robust entanglement provided by topological states, offering a pathway to more practical and reliable quantum computation. The theoretical framework presented here provides a foundation for future research and development in topological quantum error correction.

DOI: 10.5281/zenodo.22153261

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