  The orbital angular momentum and the polarisation of light are physical
quantities widely investigated for classical and quantum information
processing. In this work we propose to take advantage of strong light-matter
coupling, circular-symmetric confinement, and transverse-electric
transverse-magnetic splitting to exploit states where these two degrees of
freedom are combined. To this end we develop a model based on a spin-orbit
Poincar\'{e} hypersphere. Then we consider the example of semiconductor
polariton systems and demonstrate full ultrafast Stark control of spin-orbit
states. Moreover, by controlling states on three different spin-orbit spheres
and switching from one sphere to another we demonstrate the control of
different logic bits within one single physical system.
