Quantum algorithms and field theory: problems and connections to quantum optics

To give a reference point for the talk, I shall briefly summarize existing results regarding quantum computing for and from quantum field theory. I'll then describe some solved or open technical problems arising in this context, mentioning possible solutions of the latter. As will be apparent from this discussion, there exist various connections with topics in quantum optics and AMO physics. These include methods for state preparation, in particular adiabatic rapid passage, which I'll present in detail, as well as the issue of what one can do with a small quantum computer.