Algorithmic Complexity Theory for Quantum Error Correction

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

Quantum error correction (QEC) is a critical component of future quantum computing, addressing the fragility of quantum information. Current error correction schemes, while effective, suffer from significant computational overhead, limiting the scalability of quantum devices. This paper explores the application of algorithmic complexity theory to design a novel complexity class and algorithm for QEC, specifically targeting near-term error correction. We introduce a new complexity measure that directly quantifies the 'complexity' of the error correction process, linking it to the underlying quantum system's dynamics. This approach aims to significantly reduce computational burden compared to existing methods, potentially unlocking practical quantum computing. The theoretical analysis reveals that this complexity measure offers a substantial improvement in error correction efficiency and robustness, offering a path towards more practical and scalable quantum technologies.

DOI: 10.5281/zenodo.22243613

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