Algorithmic Quantum Complexity Theory - Hybrid Quantum-Classical Optimization
Jincheng Zhang
Abstract
Abstract: This paper explores the intersection of algorithmic quantum complexity theory and hybrid quantum-classical optimization. We propose a novel algorithm designed to efficiently find optimal configurations for complex quantum systems by strategically combining quantum computation for initial exploration and refinement with classical optimization to fine-tune the resulting quantum state. The core claim is to create a method that surpasses the limitations of classical optimization by intelligently integrating quantum and classical techniques. This work addresses the fundamental challenges in understanding and analyzing the complexity of quantum systems, potentially unlocking new algorithmic pathways and insights.