Teleporting an unknown qutrit state via a 2-qudit entangled channel

TL;DR

This paper introduces a new quantum teleportation protocol for transmitting unknown qutrit states using a 2-qudit entangled channel, including measurement and unitary operations, with success probabilities analyzed.

Contribution

It presents a systematic construction of measurement bases and collective unitaries for qutrit teleportation, expanding high-dimensional quantum communication methods.

Findings

Success probabilities vary with different quantum channels.

The protocol enriches high-dimensional quantum teleportation theory.

Feasible approach for practical qutrit teleportation.

Abstract

We propose a quantum teleportation scheme for transmitting a single qutrit state by adopting a 2-qudit entangled state as the quantum channel. The measurement basis for Alice has been carefully and systematically constructed, which is essential for the successful implementation of the teleportation protocol. Based on Alice's measurement outcomes, we design the corresponding collective unitary transformations to be performed by Bob on an auxiliary qubit and information particle. After implementing the collective unitary transformation, Bob performs a von Neumann measurement on the auxiliary qubit. The single qutrit state is then teleported to the distant receiver Bob with a finite success probability. We obtain the achievable success probabilities of the proposed teleportation scheme for different quantum channels. The obtained results not only enrich the theory of quantum teleportation over high-dimensional entangled channels but also provide a novel and feasible approach to implementing qutrit teleportation.