Title: Dynamic Constraint Representation via Quantum Superposition
Jincheng Zhang
Abstract
This paper explores the potential of quantum superposition to revolutionize constraint representation and manipulation within optimization problems. Traditional methods often struggle with the computational complexity associated with representing and navigating complex constraint sets. We propose a novel dynamic constraint representation utilizing quantum superposition, aiming to significantly accelerate solution space exploration and improve the efficiency of optimization algorithms. The core mechanism involves encoding constraints as quantum states that can be manipulated through quantum gates, offering a fundamentally different approach compared to classical representations. This research investigates the feasibility of this approach, demonstrating its potential for enhanced computational performance in specific benchmark problems. The goal is to develop a method capable of efficiently handling constraints with a dramatically reduced computational burden.