I once read a really interesting article in the BMJ by a doctor who has experienced psychosis and who has needed to be hospitalised a few times during her career. I've just tried to find it again with no luck. I'll have another look later. It was a very good article. But rest assured that you wouldn't be the only doctor with mental health difficulties - doctors get ill just like everyone else, whether the illness is mental or physical, so a diagnosis of schizophrenia on its own isn't enough to rule you out. It will be more about whether you're able to cope with the demands of medical training, and of course that varies from person to person. Some people who have never had a mental health problem wouldn't be able to manage it, and some people who do have such problems manage it every day. It certainly wouldn't hurt to start looking for some relevant volunteering/work experience and to get your psychiatrist's advice, as someone else has already suggested. Take it one step at a time.