Based on the previous work about the knotted pictures of quantum states, quantum logic gates and unitary transformations, this paper further gives the whole complete quantum measurement process of quantum teleportation from the viewpoint of knot theory.
The quantum teleportation process is composed of a joint measurement performed upon two uncorrelated subsystems A and B, followed by a unitary transformation (parameters of which depend on the outcome of the measurement) performed upon a third subsystem C (EPR correlated with system B). The information about the outcome of the measurement is transferred by classical means. It is shown that this measurement process, plus possible measurements on subsystem C (with the classical channel switched off), cannot be described by a local realistic theory.