Topology-Driven Error Correction in Quantum Error Correction
Jincheng Zhang
Abstract
Quantum information processing faces significant challenges due to the inherent fragility of quantum states. Quantum error correction (QEC) is crucial for ensuring the reliable execution of quantum algorithms. Traditional QEC methods often rely on complex decoding schemes and require substantial computational resources. This paper proposes a novel approach based on topology-driven error correction, leveraging geometric constraints to enhance the robustness of quantum information. We introduce a framework wherein the structure of a quantum state, defined by its topology, is exploited to detect and correct errors. This design minimizes the sensitivity to local perturbations and offers a potentially more resilient strategy compared to existing approaches. The proposed method aims to improve the fidelity of quantum computations by proactively addressing errors through geometric manipulation.