Quantum Error Correction: A Non-Classical Geometric Interpretation

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum error correction (QEC) is a critical component of quantum information processing, enabling the reliable transmission and manipulation of quantum states. Traditional QEC relies on classical measurement to detect and correct errors, which inherently limits the fidelity of quantum computations. This paper proposes a novel approach to QEC, utilizing a non-classical geometric interpretation of the error correction process. We introduce a "Geometric Modulus" quantum algorithm, which leverages a transformation of quantum states based on non-linear geometric principles to enhance the efficiency and robustness of QEC. The core mechanism centers around dynamically adjusting the quantum state to mitigate errors, offering a potential paradigm shift in QEC design. We discuss the advantages of this approach, including increased error correction rates and improved resilience to noise, and highlight the implications for future quantum technologies.

DOI: 10.5281/zenodo.22200248

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