Title: Quantum State Collapse as a Recursive Algorithm for Optimization
Jincheng Zhang
Abstract
Quantum State Collapse as a Recursive Algorithm for Optimization Quantum State Collapse, a phenomenon described by quantum mechanics, represents a dramatic transition where a system loses its coherence and becomes in a probabilistic state. This concept has gained increasing attention in fields like information theory and quantum computing, but its direct application to optimization problems, particularly complex systems, remains largely unexplored. This paper proposes a novel algorithm inspired by quantum state collapse, iteratively refining a system's state to achieve a desired objective, utilizing a feedback loop based on a probability distribution. We hypothesize that this approach, by mimicking the collapse process, can uncover solutions that are difficult to reach through traditional optimization methods. The algorithm employs a recursive process, wherein the system's state is updated based on a probability distribution representing the potential solutions. This distribution is dynamically adjusted based on the system's current state, encouraging exploration and refinement. We demonstrate the efficacy of this approach through a series of numerical simulations, showcasing its potential to outperform existing optimization techniques in certain benchmark problems. This work explores the possibility of leveraging the unique properties of quantum mechanics to address complex optimization challenges.