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The use of quantum computation for physical simulation promises to provide an avenue for the first-principle real-time simulation of processes for which we have no alternative methods at the present time. With the sizes and stability of quantum computers at a premium in the near term, it will be critical to develop efficient algorithms both for mapping physical systems into representations suitable for quantum computing and for manipulating the resulting states. I will discuss some preliminary steps from my work in these directions from both the field-theoretic and circuit-optimization point of view.