Teleportation
Teleportation is a form of matter transmission and can be one of either a process of physical/psychological will or a technological interaction.
Mental teleportation
The Kitlings and those affected by the Cheetah World could teleport away from their home to hunt for prey, and then return through what was a physical (or possibly psychological/instinctual) process. The ability could also be transfered as; Ace, Midge, the Master and the Doctor all acquired the ability, although it was not permanent in the majority of those who were affected. (DW: Survival)
The Eight Legs of Metebelis III could also teleport, both themselves and the Humans that they hung onto, most likely through the psychic link that was developed between the Eight Legs and the Human. (DW: Planet of the Spiders)
Technological teleportation
In the case of a technological process, Clockwork Droids possessed a short range teleporter (DW: The Girl in the Fireplace) and the Lady Cassandra possessed a long range teleporter, although her use of teleportation was forbidden under Peace Treaty 5.4/Cub/16. (DW: The End of the World)
Also, in the case of teleportation through technology, a signal is needed for the teleport to work. The signal needs to be broadcast close to the person or item being teleported. The signal can also be reworked to teleport a person back after they had teleported away. (DW:The End of the World, Boom Town).