  We show how the remotest sites of a finite lattice can be entangled, with the
amount of entanglement exceeding that of a singlet, solely through the dynamics
of an ideal Bose gas in a special initial state in the lattice. When additional
occupation number measurements are made on the intermediate lattice sites, then
the amount of entanglement and the length of the lattice separating the
entangled sites can be significantly enhanced. The entanglement generated by
this dynamical procedure is found to be higher than that for the ground state
of an ideal Bose gas in the same lattice. A second dynamical evolution is shown
to verify the existence of these entangled states, as well entangle qubits
belonging to well separated quantum registers.
