The video explains that games like tic-tac-toe and checkers are solved games, meaning their outcomes can be predicted if both players play perfectly. Chess, however, is far more complex due to its vast number of possible games, known as Shannon's number, which exceeds the number of atoms in the observable universe. This complexity makes chess an ideal testing ground for AI and algorithms. Modern chess engines like Stockfish use search algorithms and AI to evaluate millions of positions per second, achieving superhuman performance but still relying on approximations rather than solving the game outright. Solving chess would require storing information for every possible position, a task beyond current computational capabilities. Quantum computing, with its ability to process information in parallel and faster than classical computers, holds promise for solving such complex problems. Google's quantum computer chip Willow demonstrated this potential by completing a calculation in minutes that would take classical supercomputers septillions of years. However, quantum computing is still in its early stages and requires further development to reach its full potential. The future of solving chess depends on technological advancements and innovative problem-solving approaches.