Based Quantum State Optimization Algorithms
Jincheng Zhang
Abstract
This paper presents a novel approach to optimization utilizing quantum state manipulation. Traditional optimization algorithms often struggle with high-dimensional problems due to computational limitations. This work proposes a new algorithm, termed "Quantum-Guided Optimization," which leverages quantum state properties – specifically superposition and entanglement – to achieve significant efficiency gains in complex optimization scenarios. The core mechanism centers around a quantum state transformation process, which iteratively evolves the search space, effectively guiding the algorithm towards optimal solutions. The paper details the algorithm's design, mathematical foundations, and preliminary experimental results demonstrating improved performance compared to existing classical optimization techniques across a range of benchmark problems. The investigation focuses on the potential of quantum state manipulation to overcome inherent computational bottlenecks in optimization.