On quantum teleportation with partial entanglement

Abstract

Quantum teleportation cannot be achieved with certainty when using a partially entangled resource; however, full-fidelity teleportation can be realized probabilistically, by allowing the protocol to fail sometimes. We present two strategies for conclusive teleportation based on generalized measurements: one involves a filtering operation applied by the receiver, while the other uses non-orthogonal state discrimination performed by the sender. Both methods are optimal in that they succeed with the maximum possible probability. Additionally, we study this maximal probability in the general d-dimensional case.