Quantum Error Correction via Non-Linear Geometric Schemes

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

Quantum error correction is a critical aspect of quantum computing, enabling the reliable transmission and manipulation of quantum information. Traditional error correction codes often rely on linear algebraic operations, which are susceptible to noise and decoherence. This paper explores a novel geometric scheme for quantum error correction that utilizes non-linear geometric properties to enhance resilience. We introduce a framework centered around identifying and exploiting critical geometric patterns within the error correction process, thereby bolstering the system's robustness against noise. The core mechanism involves constructing a geometric representation of the error correction process, facilitating the detection and correction of errors through these patterns. This approach offers a fundamentally different perspective on error correction, potentially leading to more resilient and efficient quantum systems.

DOI: 10.5281/zenodo.22301466

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