Quantum Tunneling-Based Algorithm Acceleration
Jincheng Zhang
Abstract
This paper explores a novel approach to algorithm acceleration by leveraging the principles of quantum tunneling. The core idea is to map specific computational steps within classical algorithms onto simulated quantum tunneling processes. By employing probability calculations and sampling techniques, we aim to achieve significant speedups for certain algorithms. This work presents a theoretical framework and outlines a methodology for implementing this approach, focusing on the potential advantages offered by quantum mechanics in overcoming limitations inherent in classical computation. The exploration includes detailed mathematical formulations and conceptual descriptions, offering a foundation for future research and development in this area. We demonstrate the feasibility of this method through illustrative examples, highlighting the potential for transformative gains in computational efficiency. The focus remains on the theoretical aspects and algorithmic design, without requiring experimental validation. ---