  We demonstrate the onset of strong on-site localization in a one-dimensional
many-particle system. The localization is obtained by constructing, in an
explicit form, a bounded sequence of on-site energies that eliminates resonant
hopping between both nearest and remote sites. This sequence leads to
quasi-exponential decay of the single-particle transition amplitude. It also
leads to strong localization of stationary many-particle states in a
finite-length chain. For an {\it infinite} chain, we instead study the time
during which {\it all} many-particle states remain strongly localized. We show
that, for any number of particles, this time exceeds the reciprocal frequency
of nearest-neighbor hopping by a factor $\sim 10^5$ already for a moderate
bandwidth of on-site energies. The proposed energy sequence is robust with
respect to small errors. The formulation applies to fermions as well as
perpetually coupled qubits. The results show viability of quantum computing
with time-independent qubit coupling.
