  We investigate quantum information processing and manipulations in disordered
systems of ultracold atoms and trapped ions. First, we demonstrate generation
of entanglement and local realization of quantum gates in a quantum spin glass
system. Entanglement in such systems attains significantly high values, after
quenched averaging, and has a stable positive value for arbitrary times.
Complex systems with long range interactions, such as ion chains or dipolar
atomic gases, can be modeled by neural network Hamiltonians. In such systems,
we find the characteristic time of persistence of quenched averaged
entanglement, and also find the time of its revival.
