Strong many-particle localization is studied in a 1D array of perpetually coupled qubits and an equivalent 1D system of interacting fermions. We construct a bounded sequence of the on-site fermion energies, or qubit transition frequencies, that suppresses resonant hopping between both nearest and remote neighbors. Besides quasi-exponential decay of the single-particle transition amplitude,it leads to long lived strongly localized many-particle states. This makes quantum computing with time-independent qubit coupling viable.
The goal of this paper is to discuss the link between the quantum
phenomenon of Anderson localization on the one hand, and the
parametric instability of classical linear oscillators with
stochastic frequency on the other. We show that these two problems
are closely related to each other. On the base of analytical and
numerical results we predict under which conditions colored
parametric noise suppresses the instability of linear oscillators.
We study dynamical properties of systems with many interacting Fermi-particles under the influence of static imperfections. Main attention is payed to the time dependence of the Shannon entropy of wave packets, and to the fidelity of the dynamics. Our question is how the entropy and fidelity are sensitive to the noise. In our study, we use both random matrix models with two-body interaction and dynamical models of a quantum computation. Numerical data are compared with analytical predictions.