Topological Quantum Computation: Self-Organizing Algorithms for Enhanced Entanglement

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

Topological quantum computation (TQC) leverages the inherent robustness of topological qubits against local perturbations, offering a promising path towards fault-tolerant quantum computing. However, realizing the full potential of TQC necessitates efficient self-organizing algorithms capable of dynamically constructing and optimizing quantum circuits. This paper proposes a novel approach that directly harnesses the unique physical properties of topological quantum networks – specifically, the naturally occurring entanglement and interactions between nodes – to drive the self-organization process. The core of the algorithm relies on identifying and exploiting correlated quantum states and interactions within the network, enabling the automated creation and refinement of topological quantum circuits. We introduce a framework where the network topology itself dictates the circuit architecture, leading to potentially higher fidelity and reduced resource requirements compared to traditional, manually designed quantum algorithms. The presented method addresses the critical gap between the inherent robustness of TQC and the lack of adaptive control mechanisms, paving the way for scalable and dynamically optimized topological quantum computation. The theoretical framework outlines a strategy for iteratively building and refining circuits based on entanglement distribution and node interactions. The key mathematical concepts and notation used throughout this document are defined below.

DOI: 10.5281/zenodo.22246528

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