What Should I pursue a career in data science or quantum computing?

It depends on whether you like theoretical or practical work.

Quantum computing is abstract but has profound implications on the future of computing. What researchers are doing in quantum computing today is going to make a big impact on addressing big problems in Next Generation Sequencing, Robotics and Deep Learning, any technology that needs almost infinite resources to solve real problems that require extreme computation.

Data Science, on the other hand, lets you see results. You will work on uncovering trends in the data. You will create and tell stories around trends and help predict a model for the future based on the historical trends. Its a lot more fun because the results of your analysis can be seen and you can iteratively work on the feedback. Data science applies to every vertical that collects data, so you can work across several verticals because you are a data expert, you understand the universal data language.

The industry needs more Data Scientists, but research needs more quantum scientists because advances in quantum computing will provide a better infrastructure for data science and other computationally intensive problems.