Just my two cents on this:
It depends on what the main area of interest within quantum computing. There are tons of projects out there, that could be done through different programming languages, so that is also another factor, is there a preference for that too. Likewise, on what scale does this project have to be there are many short projects that can be looked into.
For example, Designing of a quantum algorithm: what would you do with a working quantum computer? This is a popular choice, I have seen, it can be done through some good research and possibly some psuedo-working code to show some demonstration of what a working quantum computer would be like for ex, all big applications that we use are essentially bytes of 0 and 1 so, seeing how these correlations take place and what happens when we exponentially manipulate data does to the speed of a super computer....etc.
This is just one example, there are an abundant of examples to check out, I think even a made up topic on quantum computing would work as well sort of an inquiry into what goes into a 'quantum computer', what the processes are like and how this is useful to the tech growth.
I hope this was useful.