Quantum machine learning algorithms have been proposed, and there has been progress in running certain AI-related computations on small-scale quantum devices. However, these efforts are in the nascent stages, and it will likely take time before we have quantum computers that can effectively host AI models like ChatGPT.
The integration of quantum computing and AI is an active area of research, and we may see significant developments in the future, but as of now, quantum computers capable of hosting AI models are not yet available.