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We employ Optimal Control Theory to discover an efficient informationretrieval algorithm that can be performed on a Rydberg atom data register usinga shaped terahertz pulse. The register is a Rydberg wave packet with oneconsituent orbital phase-reversed from the others (the ``marked bit''). Theterahertz pulse that performs the decoding algorithm does so by by drivingelectron probability density into the marked orbital. Its shape is calculatedby modifying the target of an optimal control problem so that it represents thedirect product of all correct solutions to the algorithm.Comment: 6 pages, 3 figure

Optimally shaped terahertz pulses for phase retrieval in a Rydberg-atom data register