Algorithmic Quantum State Exploration with Hybrid Search
Jincheng Zhang
Abstract
Quantum state exploration is a fundamental challenge in quantum computing, requiring the efficient discovery of complex quantum states. Traditional approaches often struggle with the inherent complexity of these spaces, limiting the speed and scope of the search process. This paper introduces an algorithmic quantum state exploration method that leverages the strengths of both classical and quantum search algorithms, resulting in a significant increase in speed and efficiency. The core of this approach is a novel "Hybrid Quantum Search Algorithm," which strategically combines classical search to guide initial exploration with quantum search for probing areas of interest. We demonstrate the effectiveness of this method through a series of simulations and analyses, showcasing a substantial improvement in the speed of finding specific quantum states compared to existing techniques. This work represents a significant advancement in quantum state exploration, offering a promising pathway toward broader and more efficient discovery of quantum states.