Quantum Teleportation of an Unknown State via a Partially Entangled Qutrit Pair

Abstract

Quantum teleportation allows the perfect transmission of an unknown quantum state using a shared entangled resource and a classical channel alone. In this work, we study the teleportation of three-level quantum systems, known as qutrits, using entangled three-dimensional pairs. We demonstrate teleportation under maximal entanglement, and develop two complementary probabilistic strategies to herald successful stat recovery when the resource is only partially entangled. Both approaches yield the same maximum success probability, governed entirely by the smallest component of the entangled resource. We further extend these results to quantum systems of arbitrary finite dimension, obtaining a universal closed-form expression for the maximum achievable success probability.