Advancing Quantum Reliability: A Study on Topological Codes and Stabilizer Techniques for Scalable Error Correction

Krishna Kumar · 2025

Quantum computing stands at the precipice of revolutionizing numerous fields, yet its widespread practical application is obstructed by high error rates, far exceeding those encountered in classical computing. For quantum computers to become viable, these error rates must be significantly reduced, which is a critical challenge in the field. This paper explores the evolving landscape of quantum error correction, focusing on the topological code as a leading strategy for improving the fidelity of quantum computations. topological codes utilize a two-dimensional array of qubits and stabilizer operations to detect and correct quantum errors, offering robust scalability for large-scale quantum systems. The theoretical foundations of topological codes are examined along with their implementation challenges and recent advancements in decoding algorithms. Additionally, stabilizer codes are analyzed and their synergistic role in enhancing quantum error correction schemes. By addressing both theoretical concepts and practical considerations, this study provides insights into overcoming quantum error correction obstacles, moving closer to reliable, fault-tolerant quantum computing systems. The paper also highlights emerging techniques that may shape the future of quantum computing reliability.

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