基于自适应几何拓扑的量子态搜索

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

This paper introduces a novel quantum state search algorithm based on self-associated states. The algorithm leverages the inherent self-similarity of quantum states to efficiently explore the quantum state space. We propose a method that dynamically adjusts the underlying topology of the search space, enabling the algorithm to navigate complex and high-dimensional quantum states with improved performance. The core mechanism involves employing a self-consistent transformation to guide the search towards promising states. The proposed algorithm demonstrates significant improvements in the speed and accuracy of quantum state search compared to traditional methods. The theoretical analysis highlights the benefits of incorporating topological structures into the search process.

DOI: 10.5281/zenodo.22319424

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