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Quantum Control of Neutral Atoms Qudits and Transport

Brian Mischuck, University of New Mexico

(Session 6 : Saturday from 10:15-10:45)

Abstract. Quantum control offers a variety of techniques to manipulate quantum systems in order to perform a desired evolution. We describe the application of these ideas to two different problems in the control of neutral atoms. In the first problem, we consider control of the hyperfine spin manifold a cloud of cold atoms driven by microwave and radio-frequency fields. The large number of spin states available in individual atoms makes them candidates for a qudit based quantum computer. Because the Hamiltonians that drive the system may vary spatially and/or temporally, collections of atoms form ensembles of distinguishable qudits. Borrowing from ideas originally developed for NMR, we show how to drive the ensembles through a given desired evolution. This allows for robust control and spatial selectivity of ensembles of atoms. In the second problem we show how atoms’ transport in an optical lattice can be controlled through polarization control of the optical lattice and global microwave pulses. This control is a necessary first step in many of the neutral atom based schemes for quantum computation and simulation, as well as a realization of a quantum walk. We show that with the available global control, any unitary or state synthesis consistent with translational invariance may be performed.