Title: Non-Standard Laplacian for Quantum Error Correction

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum error correction is a critical component of quantum information processing, enabling the reliable transmission and manipulation of quantum states. Current error correction codes face significant challenges due to the inherent noise present in quantum systems. This paper investigates a novel Laplacian operator designed to enhance the robustness of quantum error correction by leveraging geometric properties. We introduce a new Laplacian operator, characterized by specific geometric constraints, which exhibits improved resilience to noise compared to conventional Laplacian methods. The core mechanism focuses on mitigating the impact of quantum fluctuations by introducing a carefully crafted geometric structure within the operator. This leads to a potential advancement in quantum error correction strategies and improved fidelity of quantum computations. The implications of this work extend to the design of more reliable and efficient quantum systems.

DOI: 10.5281/zenodo.22197632

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