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We demonstrate the possibility of realizing a neural network in a chain oftrapped ions with induced long range interactions. Such models permit to storeinformation distributed over the whole system. The storage capacity of suchnetwork, which depends on the phonon spectrum of the system, can be controlledby changing the external trapping potential and/or by applying longitudinallocal magnetic fields. The system properties suggest the possibility ofimplementing robust distributed realizations of quantum logic.Comment: 4 pages, 3 figure

Trapped Ion Chain as a Neural Network: Error Resistant Quantum Computation