Dynamically localized systems: Exponential sensitivity of entanglement and efficient quantum simulations

We study the pairwise entanglement present in a quantum computer that simulates a dynamically localized system. We show that the concurrence is exponentially sensitive to changes in the Hamiltonian of the simulated system. Moreover, concurrence is exponentially sensitive to the logic position of the qubits chosen. These sensitivities could be experimentally checked efficiently by means of quantum simulations with less than 10 qubits. We also show that the feasibility of efficient quantum simulations is deeply connected to the dynamical regime of the simulated system.