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Sanchayan Dutta
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What can be a mini research project on quantum computing?

I need to work out a research project on quantum computing as a part of my curriculum. I was wondering how to implement something theoretically with the basic knowledge I have. I have learnt about superposition, Deutsch Jozsa algorithm and Grover's algorithm. Can I design something simple using these algorithms? Perhaps a way to solve a game, or solve a graph problem or anything? I can't go deep in research now as I have not much time left but would be rather happy to work on the existing knowledge I have. Please enlighten me!