  We propose modulation protocols designed to generate, store and transfer
compact localized states in a quantum network. Induced by parameter tuning or
local reflection symmetries, such states vanish outside selected domains of the
complete system and are therefore ideal for information storage. Their creation
and transfer is here achieved either via amplitude phase flips or via optimal
temporal control of inter-site couplings. We apply the concept to a decorated,
locally symmetric Lieb lattice where one sublattice is dimerized, and also
demonstrate it for more complex setups. The approach allows for a flexible
storage and transfer of states along independent paths in lattices supporting
flat energetic bands. The generic network and protocols proposed can be
utilized in various physical setups such as atomic or molecular spin lattices,
photonic waveguide arrays, and acoustic setups.
