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Quantum optics is the quantum theory of the interaction of light and matter. In this talk, I will describe recent work on a real-space formulation of quantum electrodynamics for single photons interacting with two-level atoms. It is shown that the probability amplitude of a photon obeys a nonlocal PDE. Applications to quantum optics in random media will be described, where there is a close relation to kinetic equations for PDEs with random coefficients.