What's the best way to learn about quantum computing for a non-technical person like me, with a strong interest in AI and data analysis?

I completely understand your challenge in learning about quantum computing without a technical background. I'd recommend starting with online courses that focus on the applications of quantum computing in AI and data analysis. The IBM Quantum Experience is a great resource - it offers interactive tutorials and simulations that allow you to explore quantum concepts in a hands-on way.

Another excellent resource is edX's Quantum Computing course, which covers the basics of quantum computing and its applications in machine learning and data analysis. The course also includes hands-on exercises and projects to help you understand the concepts. I'd also suggest watching video lectures and documentaries on quantum computing, such as the 3Blue1Brown YouTube series, which does a great job of explaining complex concepts in an accessible way.

As for real-world applications and case studies, I'd recommend checking out the work of companies like Google, Microsoft, and Rigetti Computing, which are all actively exploring the applications of quantum computing in AI and data analysis. You can also look into research papers and academic articles on the topic, which often include practical examples and case studies.

Regarding your question about transitioning into a career related to quantum computing, I'd say that your background in data analysis and AI is actually a great starting point. You can consider taking additional courses or certifications in quantum computing, and then look for roles in companies that are actively working on quantum AI applications. Networking with professionals in the field and joining online communities can also be a great way to learn more and get your foot in the door.