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Florida Atlantic Undergraduate Research Journal

Article Title

A Comprehensive Overview of the Quantum Approximate Optimization Algorithm

Abstract

As quantum computing research advances, the Quantum Approximate Optimization Algorithm (QAOA) has emerged as a leading approach to harnessing current quantum hardware for solving complex combinatorial optimization problems. This pedagogical, expository paper outlines the mathematical foundations of QAOA, explains its step-by-step implementation from first principles in a manner accessible to advanced undergraduate students and non-specialists, and explores real-world applications such as protein folding and job scheduling. We also examine the algorithm’s performance challenges, including barren plateaus and circuit depth limitations.