Title: Quantum-Inspired Iterative Loop (QIL)
Jincheng Zhang
Abstract
Quantum-Inspired Iterative Loop (QIL) is a novel algorithmic framework designed to address complex optimization problems by leveraging the principles of quantum mechanics. The core concept revolves around a dynamically evolving iterative loop where mathematical constructs are evaluated against a quantum-inspired probability distribution. This process allows for the exploration of the solution space, ultimately leading to a more refined and effective solution compared to traditional methods. This research explores the potential of QIL to bridge the gap between quantum computing and mathematical reasoning, offering a new approach to tackling challenging optimization scenarios. The system employs a closed-form mathematical model that is continually refined through the application of a quantum-inspired probability distribution, achieving a degree of dynamic adaptation not achievable through conventional iterative techniques. This work presents a theoretical foundation and initial implementation demonstrating the feasibility and potential of QIL for a range of problems, including constrained optimization and combinatorial search.