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We propose a new scheme for supplying voltages to the electrodes ofmicrofabricated ion traps, enabling access to a regime in which changes to thetrapping potential are made on timescales much shorter than the period of thesecular oscillation frequencies of the trapped ions. This opens uppossibilities for speeding up the transport of ions in segmented ion traps andalso provides access to control of multiple ions in a string faster than theCoulomb interaction between them. We perform a theoretical study of iontransport using these methods in a surface-electrode trap, characterizing theprecision required for a number of important control parameters. We alsoconsider the possibilities and limitations for generating motional statesqueezing using these techniques, which could be used as a basis forinvestigations of Gaussian-state entanglement.

Quantum control of the motional states of trapped ions through fast switching of trapping potentials