  Ideal quantum teleportation transfers an unknown quantum state intact from
one party Alice to the other Bob via the use of a maximally entangled state and
the communication of classical information. If Alice and Bob do not share
entanglement, the maximal average fidelity between the state to be teleported
and the state received, according to a classical measure-and-prepare scheme, is
upper bounded by a function $f_{\mathrm{c}}$ that is inversely proportional to
the Hilbert space dimension. In fact, even if they share entanglement, the
so-called teleportation fidelity may still be less than the classical threshold
$f_{\mathrm{c}}$. For two-qubit entangled states, conditioned on a successful
local filtering, the teleportation fidelity can always be activated, i.e.,
boosted beyond $f_{\mathrm{c}}$. Here, for all dimensions larger than two, we
show that the teleportation power hidden in a subset of entangled two-qudit
Werner states can also be activated. In addition, we show that an entire family
of two-qudit rank-deficient states violates the reduction criterion of
separability, and thus their teleportation power is either above the classical
threshold or can be activated. Using hybrid entanglement prepared in photon
pairs, we also provide the first proof-of-principle experimental demonstration
of the activation of teleportation power hidden in this latter family of qubit
states. The connection between the possibility of activating hidden
teleportation power with the closely-related problem of entanglement
distillation is discussed.
