Abstract

We demonstrate the possibility of realizing a neural network in a chain of trapped ions with induced long range interactions. We show that the system allows for robust distributed classical information storage and that its storage capacity, which depends on the phonon spectrum of the system, can be controlled by changing the external trapping potential. Identifying the qubits with configurations of spins that echo the lowest vibrational modes of the system, we perform error resistant universal quantum information processing. Single and two-qubit gates are implemented by applying appropriate axial and transverse magnetic fields. The gate fidelities, above the classical bound, are quite noise insensitive and robust against spin-flip errors.

© 2007 Optical Society of America