Self-Adaptive Topology Optimization via Quantum Geometry
Jincheng Zhang
Abstract
This paper introduces a novel self-adaptive topology optimization framework based on quantum geometry, leveraging the unique capabilities of quantum computing to assess the complexity of topological structures in quantum systems. We propose a method for quantum verification of topological properties, offering a more efficient and robust tool for validating quantum computation. The core mechanism centers around utilizing quantum entanglement and superposition to explore the space of possible topological configurations, ultimately guiding the optimization process towards more reliable solutions. This approach addresses limitations of traditional quantum computation verification by providing a fundamentally new perspective on the problem.