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Atomic spins are natural carriers of quantum information given their long coherence times and our ability to control and measure them with magneto-optical fields. Both the internal spins of atoms whose nuclear spin is large, and the collective spin of an ensembles of many atoms provide complex quantum systems, and form useful testbeds for exploring quantum information processing. These complex systems can be manipulated using the tools of optimal control. I will discuss a variety of examples including the control of the 16 dimensional Hilbert space associated with the internal spin of cesium-133 atoms, the control of spin transport in optical lattices to implement Boson sampling, the control of symmetrically-entangled Dicke states via the spin-dressed Rydberg blockade, and the use of optimal control to enhance atom-light entanglement for spin squeezing. Optimal control also allows for the implementation of large classes of POVMs, which we use to study efficient and robust quantum tomography. Host: Yigit Subasi |