Quantum technologies could be a game-changer in the digital transformation of health care. By enabling much faster and more complex data analysis, they could open the door to the accelerated discovery and development of novel therapeutics, improved diagnostics and treatments, including for rare and complex diseases, genuinely personalised medicine, and better data-driven health policy planning. However, as is also the case in other sectors, quantum technologies come with risks, particularly to cybersecurity and data privacy, as well as economics, trade, and global competition. The EU legislators need to prepare the health technology assessment process for the possible changes that this developing technology could entail.