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We address the propagation of a single photon pulse with two polarizationcomponents, i.e., a polarization qubit, in an inhomogeneously broadened"phaseonium" \Lambda-type three-level medium. We combine some of thenon-trivial propagation effects characteristic for this kind of coherentlyprepared systems and the controlled reversible inhomogeneous broadeningtechnique to propose several quantum information processing applications, suchas a protocol for polarization qubit filtering and sieving as well as a tunablepolarization beam splitter. Moreover, we show that, by imposing a spatialvariation of the atomic coherence phase, an effcient quantum memory for theincident polarization qubit can be also implemented in \Lambda-type three-levelsystems.

Quantum state storage and processing for polarization qubits in an inhomogeneously broadened \Lambda-type three-level medium