  We propose a robust and efficient way to store and transport quantum
information via one-dimensional discrete time quantum walks. We show how to
attain an effective dispersionless wave packet evolution using only two types
of local unitary operators (quantum coins or gates), properly engineered to act
at predetermined times and at specific lattice sites during the system's time
evolution. In particular, we show that a qubit initially localized about a
Gaussian distribution can be almost perfectly confined during long times or
sent hundreds lattice sites away from its original location and later almost
perfectly reconstructed using only Hadamard and $\sigma_x$ gates.
