Classical teleportation is defined as a scenario where the sender is given
the classical description of an arbitrary quantum state while the receiver
simulates any measurement on it. This scenario is shown to be achievable by
transmitting only a few classical bits if the sender and receiver initiall
y share local hidden variables. Specifically, a communication of 2.19 bits
is sufficient on average for the classical teleportation of a qubit, when r
estricted to von Neumann measurements. The generalization to positive-opera
tor-valued measurements is also discussed.