  We study bipartite entangled states in arbitrary dimensions and obtain
different bounds for the entanglement measures in terms of teleportation
fidelity. We find that there is a simple relation between negativity and
teleportation fidelity for pure states but for mixed states, an upper bound is
obtained for negativity in terms of teleportation fidelity using convex-roof
extension negativity (CREN). However, with this it is not clear how to
distinguish betweeen states useful for teleportation and positive partial
transpose (PPT) entangled states. Further, there exists a strong conjecture in
the literature that all PPT entangled states, in 3 \times 3 systems, have
Schmidt rank two. This motivates us to develop measures capable of identifying
states useful for teleportation and dependent on the Schmidt number. We thus
establish various relations between teleportation fidelity and entanglement
measures depending upon Schmidt rank of the states. These relations and bounds
help us to determine the amount of entanglement required for teleportation,
which we call the ``Entanglement of Teleportation''. These bounds are used to
determine the teleportation fidelity as well as the entanglement required for
teleportation of states modeled by a two qutrit mixed system, as well as two
qubit open quantum systems.
