Artificial Intelligence, along with Quantum Computing, is actually changing computational science within the scope of solutions towards cross-industry complex challenges. Applying principles of quantum mechanics of superposition, entanglement, etc., quantum computing would bring about a radical change in computation. It uses qubits instead of bits, as classical systems do, so it processes exponentially faster. Although pattern recognition, decision-making and optimization activities have been important strengths of AI, it has some barriers to deal with large-scale problems needing extremely high computation. Merging quantum computing with AI is one of the ways to overcome those limits and thus foster creativity in a variety of fields. The chapter discusses the principal foundations of quantum computing—the journey of it from concept to reality. Among the major milestones discussed are Shor’s and Grover’s algorithms, superconducting qubits, and the demonstrations of quantum supremacy. The convergence between quantum computing and AI brings with it advanced optimization in cryptography, bioinformatics, and material sciences. Quantum-inspired AI algorithms have great promise in transforming logistics, drug discovery, and climate modeling. This chapter explores the parallel evolution and convergence of Artificial Intelligence (AI) and Quantum Computing. AI, rooted in logic and mathematics, progressed from early computational theories to modern advancements in deep learning and large-scale models like GPT. Quantum Computing emerged from quantum mechanics, with milestones such as Feynman’s quantum simulations and Google’s quantum supremacy. Their convergence, termed Quantum AI, promises breakthroughs in optimization, machine learning, and complex system simulations, offering transformative potential for science, technology, and society. This chapter exhaustively explores the convergent evolution of AI and Quantum Computing through the theoretical underpinnings, technological achievements, and practical applications, and highlights their potential, thereby situating them.