  We address the propagation of a single photon pulse with two polarization
components, i.e., a polarization qubit, in an inhomogeneously broadened
"phaseonium" \Lambda-type three-level medium. We combine some of the
non-trivial propagation effects characteristic for this kind of coherently
prepared systems and the controlled reversible inhomogeneous broadening
technique to propose several quantum information processing applications, such
as a protocol for polarization qubit filtering and sieving as well as a tunable
polarization beam splitter. Moreover, we show that, by imposing a spatial
variation of the atomic coherence phase, an effcient quantum memory for the
incident polarization qubit can be also implemented in \Lambda-type three-level
systems.
