Cybersecurity has become an essential aspect of modern digital infrastructure, tasked with protecting sensitive information and systems from a multitude of threats. Among these, denial of service attacks represent a significant challenge, capable of crippling networks and services through overwhelming traffic volumes. To address these threats, a more efficient exploration of the solution space is required than what classical algorithms can offer. Advanced computational approaches, such as metaheuristic algorithms, provide robust, adaptable solutions for optimizing complex problems. Ant colony optimization, based on the foraging patterns of ants, is a popular metaheuristic applied in various domains including network security. This technique models the way ants find the shortest paths to food sources, translating it into an algorithmic approach for problem-solving, particularly useful in identifying optimal defense mechanisms against denial of service attacks. Quantum computing is an innovative discipline utilizing principles from quantum mechanics like superposition and entanglement to execute computations beyond the capability of classical computers. Quantum-inspired ant colony optimization integrates these quantum principles with traditional ant colony optimization, offering the capability to explore a broader spectrum of potential solutions. By harnessing the properties of superposition and entanglement, quantum ant colony optimization achieves faster convergence rates and improved optimization performance. This study evaluates the comparative analysis between quantum-inspired and classical metaheuristic approaches, demonstrating superior capabilities in combating denial of service threats. The fusion of quantum computing concepts with metaheuristic techniques paves the way for more resilient and adaptive cybersecurity defenses, ensuring robust protection in an increasingly complex threat landscape. This advancement is crucial for cybersecurity professionals, network administrators, and organizations aiming to enhance their defense mechanisms against sophisticated cyber threats.