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Summary form only given. Trapped ion quantum logic gates following the model of Cirac and Zoller have been constructed by the NIST and Innsbrueck groups using /sup 9/Be/sup +/ and /sup 40/Ca/sup +/ ions respectively. We are operating a new quantum logic gate using the /sup 137/Ba/sup +/ ion confined in a microscopic trap of 80 microns radius. Raman cooling to the ground state, with N < 1, is shown by the asymmetric sidebands shown. We have measured the decoherence time of a such a cooled phonon mode to be greater than 1 millisecond, which indicates that the anomalously fast decays seen by the NIST group is not dominant here.