Quantum Teleportation of a Single Qutrit using Two-Qutrit Entangled States

TL;DR

This paper demonstrates quantum teleportation of a single qutrit using two-qutrit entangled states derived from SU(3) representation theory, highlighting the role of non-unitary measurement gates in high-dimensional systems.

Contribution

It extends Bennett's teleportation protocol to qutrits with a complete set of entangled states and systematically evaluates the necessary non-unitary measurement operations.

Findings

Successfully teleported a qutrit state using two-qutrit entanglement.

Identified the essential non-unitary measurement gates for high-dimensional teleportation.

Extended the teleportation protocol to three-level quantum systems.

Abstract

We demonstrate quantum teleportation of a qutrit system using a complete set of two-qutrit entangled states obtained from the representation theory of the SU(3) group. All measurement gates essential for end-to-end teleportation are systematically evaluated, and these are found to be non-unitary. Our approach extends Bennett's teleportation protocol to the qutrit system with minimal modifications, preserving operational simplicity and underscoring the necessity of non-unitary measurement operators in high-dimensional systems.