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

Abstract

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.

4 pages, 2 figures; Has overlap with cond-mat/0512606; v2: published version