Trapped Ion Chain as a Neural Network: Error Resistant Quantum   Computation
  We demonstrate the possibility of realizing a neural network in a chain of trapped ions with induced long range interactions. Such models permit one to store information distributed over the whole system. The storage capacity of such network, which depends on the phonon spectrum of the system, can be controlled by changing the external trapping potential. We analyze the implementation of error resistant universal quantum information processing in such systems. 
Marisa Pons, Veronica Ahufinger, Christof Wunderlich, Anna Sanpera,   Sibylle Braungardt, Aditi Sen De, Ujjwal Sen, Maciej L...