  We map electron spin dynamics from time to space in quantum wires with
spatially uniform and oscillating Rashba spin-orbit coupling. The presence of
the spin-orbit interaction introduces pseudo-Zeeman couplings of the electron
spins to effective magnetic fields. We show that by periodically modulating the
spin-orbit coupling along the quantum wire axis, it is possible to create the
spatial analogue of spin resonance, without the need for any real magnetic
fields. The mapping of time-dependent operations onto a spatial axis suggests a
new mode for quantum information processing in which gate operations are
encoded into the band structure of the material. We describe a realization of
such materials within nanowires at the interface of LaAlO3/SrTiO3
heterostructures.
