This paper explores the emerging synergy between quantum computing and artificial intelligence (AI), examining its potential to revolutionize our approach to global challenges. We present a comprehensive overview of quantum computing fundamentals and current AI capabilities, followed by an in-depth analysis of quantum-enhanced AI algorithms. The paper delves into specific applications in climate modeling, drug discovery, and resource optimization, providing quantitative estimates of potential improvements. We also address the challenges, limitations, and ethical considerations associated with this convergence. Our analysis suggests that the integration of quantum computing and AI could lead to unprecedented advancements in solving complex global problems, potentially offering orders of magnitude improvements in computational efficiency and accuracy. We conclude with a roadmap for future development and a call for increased research in this transformative field.