This is a very vague question but I would like to do research in mathematics, specifically quantum computation and I'm not really too sure how one goes about developing a topic to investigate. I've done previous work in quantum chemistry quite successfully but it was quite different because I had a professor say "this is what we're going to do, now figure it out..." , obviously research of that type is by no means "trivial" (i.e. just because you have a topic doesn't make the solution obvious), but I'm at the point where I want to develop my own research and tell myself "this is what I'm going to do, now figure it out..." but unfortunately I don't really know how to do this .... My level of education is a masters in applied mathematics, and I'd really like to "do" quantum computation research but need some level of direction. I suppose many people have this problem to some degree; in the (natural) sciences, we get around this often by pro-longing the period "training" through things such as post-docs, I don't think this exists usually for mathematicians. So, equivalently, how does a fresh graduate from a phd program decide what he/she will research? How does one start a new investigation? Btw, would appreciate any research topics for quantum computation that are both interesting but not unapproachable (i.e. not the 'Fermat's theorem' of q.comp.)
closed as off topic by William, Did, Austin Mohr, lhf, rschwieb Aug 17 '12 at 20:15
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